Publications

Publications of the SFB Transregio 109

Books
Mathematical Physics III - Integrable Systems of Classical Mechanics. Lecture Notes

Author: Petrera, Matteo
Date: 2015
ISBN: 978-3-8325-3950-4
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Mathematical Physics II: Classical Statistical Mechanics. Lecture Notes

Author: Petrera, Matteo
Date: 2014
ISBN: 978-3-8325-3719-7
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The Impact of Applications on Mathematics. Proceedings of the Forum of Mathematics for Industry 2013

Authors: Wakayama, Masato and Anderssen, Robert S. and Cheng, Jin and Fukumoto, Yasuhide and McKibbin, Robert and Polthier, Konrad and Takagi, Tsuyoshi and Toh, Kim-Chuan (Editors)
Date: 2014
ISBN: 978-4-431-54906-2

ZEIT-Akademie Mathematik

Authors: Ziegler, Günter M. and Loos, Andreas
Note: 4 DVDs mit Begleitheft (95 Seiten)
Date: 2014

Immagini Della Matematica

Authors: Glaeser, Georg and Polthier, Konrad
Date: 2013
ISBN: 978-88-6030-619-7

Mathematical Physics I: Dynamical Systems and Classical Mechanics. Lecture Notes

Author: Petrera, Matteo
Date: 2013
ISBN: 978-3-8325-3569-8
Download: external

Polyhedral and algebraic methods in computational geometry

Authors: Joswig, Michael and Theobald, Thorsten
Note: Revised and updated translation of the 2008 German original
Date: 2013
DOI: 10.1007/978-1-4471-4817-3
ISBN: 978-1-4471-4816-6; 978-1-4471-4817-3
Download: external

Surprenantes images de mathématiques

Authors: Glaeser, Georg and Polthier, Konrad
Note: Janie Molard(Übersetzerin)
Date: 2013
ISBN: 978-27-0115-695-8

The Cinderella.2 Manual: Working with The Interactive Geometry Software

Authors: Richter-Gebert, J. and Kortenkamp, U.
Date: 2012

Wiskunde in beeld

Authors: Glaeser, Georg and Polthier, Konrad
Date: 2012
ISBN: 978-90-8571-250-3

Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry

Author: Richter-Gebert, J.
Date: 2011

Bilder der Mathematik

Authors: Glaeser, Georg and Polthier, Konrad
Note: Nachdruck 2014
Date: 2010
ISBN: 978-3-662-43416-1


Dissertations
f-Vector Spaces of Polytopes, Spheres, and Eulerian Lattices

Author: Brinkmann, Philip
Note: vii+132 pages
Date: Jun 2016
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Continuity in Dynamic Geometry: An Algorithmic Approach

Author: Kranich, Stefan
Date: Apr 2016
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Quantum Dynamics on Potential Energy Surfaces-Simpler States and Simpler Dynamics

Author: Keller, J.
Date: Oct 2015
Download: internal

Fully variational Lagrangian discretizations for second and fourth order evolution equations

Author: Osberger, H.
Date: Sep 2015
Download: internal

Automatic Contour Deformation of Riemann-Hilbert Problems

Author: Wechslberger, G.
Date: Jul 2015
Download: internal

Complex Line Bundles over Simplicial Complexes

Author: Knöppel, F.
Date: 2015
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Discrete Riemann surfaces and integrable systems

Author: Günther, Felix
Advisor: Alexander I. Bobenko
Date: Sep 2014
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Cyclidic and hyperbolic nets: A piecewise smooth discretization of orthogonal and asymptotic nets in discrete differential geometry

Author: Huhnen-Venedey, Emanuel
Advisor: Alexander I. Bobenko
Date: 2014

Spinor representation of Bryant surfaces with catenoidal and smooth ends

Author: Pavljukevich, Tatiana
Advisor: Alexander I. Bobenko
Date: 2014

Crystalline Order, Surface Energy Densities and Wulff Shapes: Emergence from Atomistic Models

Author: Au Yeung, Yuen
Advisor: Gero Friesecke
Date: 2013
Download: external


Master thesis
Neighborhood Computation of Point Set Surfaces

Author: Skrodzki, Martin
Date: 2014
Download: internal

Infinitesimal conformal deformations of triangulated surfaces

Author: Lam, W.Y.
Journal: TU Berlin
Date: 2013
Download: internal


Papers
A flag vector of a 3-sphere that is not the flag vector of a 4-polytope

Authors: Brinkmann, Philip and Ziegler, Günter M.
Journal: Mathematika, 63:260-271
Note: Preprint at arXiv, November 2015, 12 pages
Date: 2017
Download: arXiv

Small f-vectors of 3-spheres and of 4-polytopes

Authors: Brinkmann, Philip and Ziegler, Günter M.
Note: Preprint, 19 pages
Date: Oct 2016
Download: arXiv

Reflection groups, arrangements, and invariant real varieties

Authors: Friedl, Tobias and Riener, Cordian and Sanyal, Raman
Note: preprint
Date: Feb 2016

A universality theorem for projectively unique polytopes and a conjecture of Shephard

Authors: Adiprasito, Karim and Padrol, Arnau
Journal: Israel J. Math., 211:239-255
Date: 2016
Download: arXiv

A variational principle for cyclic polygons with prescribed edge lengths

Authors: Kourimska, H. and Skuppin, L. and Springborn, B.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
Download: arXiv

Approximation of conformal mappings using confomally equivalent triangular lattices

Author: Bücking, U.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
Download: arXiv

Complex Line Bundles over Simplicial Complexes and their Applications

Authors: Knöppel, F. and Pinkall, U.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
Download: arXiv

Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization

Authors: Bücking, U. and Matthes, D.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
Download: arXiv

DGD Gallery: Storage, sharing, and publication of digital research data

Authors: Joswig, Michael and Mehner, Milan and Sechelmann, Stefan and Techter, Jan and Bobenko, Alexander I.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint
Date: 2016
Download: internal

Discrete complex analysis on planar quad-graphs

Authors: Bobenko, A. I. and Günther, F.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint at arxiv
Date: 2016
Download: arXiv

Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization

Authors: Bobenko, A. I. and Sechelmann, S. and Springborn, B.
In Collection: Advances in Discrete Differential Geometry, Springer
Note: Preprint
Date: 2016
Download: internal

Discrete Geometry for Reliable Surface Quad-Remeshing

Authors: Polthier, Konrad and Razafindrazaka, Faniry
In Collection: Applications + Practical Conceptualization + Mathematics = fruitful Innovation, Springer Japan
Date: 2016
DOI: 10.1007/978-4-431-55342-7_22
ISBN: 978-4-431-55341-0
Download: external

Holomorphic vector fields and quadratic differentials on planar triangular meshes

Authors: Lam, W. Y. and Pinkall, U.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
Download: arXiv

Numerical Methods for the Discrete Map $Z^a$

Authors: Bornemann, F. and Its, A. and Olver, S. and Wechslberger, G.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
Download: arXiv

On a discretization of confocal quadrics. I. An integrable systems approach

Authors: Bobenko, Alexander I. and Schief, Wolfgang K. and Suris, Yuri B. and Techter, Jan
Journal: Journal of Integrable Systems, 1(1):xyw005
Date: 2016
DOI: 10.1093/integr/xyw005
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On the Lagrangian structure of integrable hierarchies

Authors: Suris, Yu. B. and Vermeeren, M.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
Download: arXiv

On the variational interpretation of the discrete KP equation

Authors: Boll, R. and Petrera, M. and Suris, Yu. B..
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
Download: arXiv

S-conical cmc surfaces. Towards a unified theory of discrete surfaces with constant mean curvature

Authors: Bobenko, A. I. and Hoffmann, T.
In Collection: Advances in Discrete Differential Geometry, Springer
Date: 2016
Download: internal

Two-dimensional variational systems on the root lattice $Q(A_N)$

Author: Boll, R.
Note: preprint
Date: 2016
Download: arXiv

Vertex normals and face curvatures of triangle meshes

Authors: Sun, Xian and Jiang, Caigui and Wallner, Johannes and Pottmann, Helmut
In Collection: Advances in Discrete Differential Geometry, Springer
Note: 20 pp., accepted
Date: 2016
Download: preprint

Optimal control of Bose-Einstein condensates in three dimensions

Authors: Mennemann, J-F and Matthes, D and Weishäupl, R-M and Langen, T
Journal: New Journal of Physics, 17(11):113027
Date: Nov 2015
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A 2x2 Lax representation, associated family, and Bäcklund transformation for circular K-nets

Authors: Hoffmann, T. and Sageman-Furnas, A. O.
Date: Oct 2015
Download: arXiv

Generation of real algebraic loci via complex detours

Author: Kranich, Stefan
Note: preprint
Date: Oct 2015
Download: arXiv

Simple polytopes without small separators

Authors: Loiskekoski, Lauri and Ziegler, Günter M.
Note: Preprint
Date: Oct 2015
Download: arXiv

Singular values and evenness symmetry in random matrix theory

Authors: Bornemann, Folkmar and Forrester, Peter J.
Journal: Forum Math. (ahead of print); 19pp
Date: Oct 2015
DOI: 10.1515/forum-2015-0055
Download: external arXiv

Homological reconstruction and simplification in $\mathbb R^3$

Authors: Attali, Dominique and Bauer, Ulrich and Devillers, Olivier and Glisse, Marc and Lieutier, André
Journal: Computational Geometry, 48(8):606--621
Date: Sep 2015
DOI: 10.1016/j.comgeo.2014.08.010
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Hyperplane mass partitions via relative Equivariant Obstruction Theory

Authors: Blagojevic, Pavle V. M. and Frick, Florian and Haase, Albert and Ziegler, Günter M.
Note: preprint
Date: Sep 2015
Download: arXiv

On the classification of multidimensionally consistent 3D maps

Authors: Petrera, M. and Suris, Y. B.
Note: preprint
Date: Sep 2015
Download: arXiv

Realizability and inscribability for some simplicial spheres and matroid polytopes

Author: Firsching, Moritz
Note: Preprint
Date: Aug 2015
Download: arXiv

Scribability Problems for Polytopes

Authors: Chen, Hao and Padrol, Arnau
Note: Preprint
Date: Aug 2015
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Shearlet approximation of functions with discontinuous derivatives

Author: Petersen, Philipp
Note: preprint
Date: Aug 2015
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GPU-based visualization of domain-coloured algebraic Riemann surfaces

Author: Kranich, Stefan
Note: preprint
Date: Jul 2015
Download: arXiv

Stripe patterns on surfaces

Authors: F. Knöppel, K. Crane, U. Pinkall, and Schröder, P.
Journal: ACM Trans. Graph., 34(4):39:1--39:11
Date: Jul 2015

The Singular Values of the GOE

Authors: Bornemann, Folkmar and Croix, Michael La
Journal: Random Matrices: Theory Appl. 04, 1550009 (2015) (32 pages)
Date: Jun 2015
DOI: 10.1142/S2010326315500094
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An epsilon-delta bound for plane algebraic curves and its use for certified homotopy continuation of systems of plane algebraic curves

Author: Kranich, Stefan
Note: preprint
Date: May 2015
Download: arXiv

A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge

Author: Bornemann, Folkmar
Note: To appear in Ann. Appl. Probab.
Date: Mar 2015
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The universality theorem for neighborly polytopes

Authors: Adiprasito, Karim and Padrol, Arnau
Journal: Combinatorica
Note: accepted, preprint at arxiv
Date: Feb 2015
Download: arXiv

A convergent Lagrangian discretization for a nonlinear fourth order equation

Authors: Matthes, Daniel and Osberger, Horst
Journal: Found. Comput. Math.
Note: online first
Date: 2015
Download: arXiv

A dynamical solution to the Basel problem

Author: Vermeeren, M.
Date: 2015
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A fully discrete variational scheme for solving Fokker-Planck equations in higher space dimensions

Authors: Junge, Oliver and Matthes, Daniel and Osberger, Horst
Note: submitted
Date: 2015
Download: arXiv

A Laplace Operator on Semi-Discrete Surfaces

Author: Carl, Wolfgang
Journal: Foundations of Computational Mathematics, pages 1-36
Date: 2015
DOI: 10.1007/s10208-015-9271-y
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A new phase space density for quantum expectations

Authors: J. Keller, C. Lasser, and Ohsawa, T.
Note: 24pp
Date: 2015
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An improved Talbot method for numerical Laplace transform inversion

Authors: Dingfelder, Benedict and Weideman, J.A.C.
Journal: Numerical Algorithms, 68(1):167-183
Date: 2015
DOI: 10.1007/s11075-014-9895-z
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An invariant class of Hermite type multivariate polynomials for the Wigner transform

Authors: H. Dietert, J. Keller, and Troppmann, S.
Note: 22pp
Date: 2015
Download: arXiv

Anisotropic multiscale systems on bounded domains

Authors: Grohs, P. and Kutyniok, G. and Ma, J. and Petersen, P.
Note: preprint
Date: 2015
Download: arXiv

Approximating persistent homology in Euclidean space through collapses

Authors: Botnan, Magnus Bakke and Spreemann, Gard
Journal: Applicable Algebra in Engineering, Communication and Computing, 26(1-2):73--101
Date: 2015
DOI: 10.1007/s00200-014-0247-y
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Approximation and convergence of the intrinsic volume

Authors: Edelsbrunner, Herbert and Pausinger, Florian
Journal: Advances in Mathematics
Note: accepted
Date: 2015
Download: preprint

Architectural Geometry

Authors: Pottmann, Helmut and Eigensatz, Michael and Vaxman, Amir and Wallner, Johannes
Journal: Computers and Graphics, 47:145-164
Date: 2015
DOI: 10.1016/j.cag.2014.11.002
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Billiards in confocal quadrics as a pluri-Lagrangian system

Author: Suris, Yuri B.
Note: preprint
Date: 2015
Download: arXiv

Cayley-Bacharach Formulas

Authors: Qingchun Ren, Jürgen Richter-Gebert and Sturmfels, Bernd
Journal: The American Mathematical Monthly, 122(9):845--854
Date: 2015
Download: arXiv

CindyJS: A growing collection of interactive demonstrations

Authors: Kortenkamp, Ulrich and Kranich, Stefan and Richter-Gebert, Jürgen and Strobel, M. and von Gagern, Martin and Wurster, J.
Date: 2015
Download: external

Circle complexes and the discrete CKP equation

Authors: Bobenko, A. I. and Schief, W.
Date: 2015
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Classification of edges using compactly supported shearlets

Authors: Kutyniok, Gitta and Petersen, Philipp
Journal: Applied and Computational Harmonic Analysis
Date: 2015
DOI: 10.1016/j.acha.2015.08.006
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Close-to-conformal deformations of volumes

Authors: Chern, A. and Pinkall, U. and Schröder, P.
Journal: ACM Transactions on Graphics, 34(4):56
Date: 2015

Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem

Authors: Jochemko, Katharina and Sanyal, Raman
Note: preprint
Date: 2015

Conformal mesh deformations with Möbius transformations

Authors: Vaxman, Amir and Müller, Christian and Weber, Ofir
Journal: ACM Trans. Graphics, 34:$\#$ 55, 1--11
Note: Proc. SIGGRAPH
Date: 2015

Convergence of a Fully Discrete Variational Scheme for a Thin Film Equation

Authors: Osberger, Horst and Matthes, Daniel
Journal: Radon Series on Computational and Applied Mathematics
Note: accepted
Date: 2015
Download: arXiv

Dirac Structures in Vakonomic Mechanics

Authors: Jiménez, Fernando and Yoshimura, Hiroaki
Journal: J. Geom. Phys.
Note: accepted
Date: 2015
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Discrete conformal maps and ideal hyperbolic polyhedra

Authors: Bobenko, A. I. and Pinkall, U. and Springborn, B.
Journal: Geom. Topol., 19:2155-2215
Date: 2015
DOI: 10.2140/gt.2015.19.2155
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Discrete line complexes and integrable evolution of minors

Authors: Bobenko, A. I. and Schief, W.
Journal: Proc. Royal Soc. A, 471(2175):23 pp.
Date: 2015
DOI: 10.1098/rspa.2014.0819
Download: external arXiv

Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems

Authors: Bobenko, A. I. and Suris, Yu. B.
Journal: Commun. Math. Phys., 336(1):199--215
Date: 2015
Download: arXiv

Discrete Riemann surfaces based on quadrilateral cellular decompositions

Authors: Bobenko, A. I. and Günther, F.
Date: 2015

Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns

Authors: Bobenko, A. I. and Dimitrov, N. and Sechelmann, S.
Date: 2015
Download: arXiv

Domain formation in magnetic polymer composites: an approach via stochastic homogenization

Authors: Alicandro, R. and Cicalese, M. and Ruf, M.
Journal: Arch. Rat. Mech. Anal., 218(2):945--984
Date: 2015
Download: arXiv

Dyck path triangulations and extendability

Authors: Ceballos, Cesar and Padrol, Arnau and Sarmiento, Camilo
Journal: Journal of Combinatorial Theory, Series A, 131(0):187-208
Date: 2015
Download: external arXiv

Enumeration of neighborly polytopes and oriented matroids

Authors: Miyata, Hiroyuki and Padrol, Arnau
Journal: Experimental Math., 24:489-505
Date: 2015
DOI: 10.1080/10586458.2015.1015084
Download: external arXiv

Exponential Convergence to Equilibrium in a Coupled Gradient Flow System Modelling Chemotaxis

Authors: Zinsl, Jonathan and Matthes, Daniel
Journal: Analysis & PDE, 8(2):425-466
Date: 2015
Download: arXiv

Frustrated ferromagnetic spin chains: a variational approach to chirality transitions

Authors: Cicalese, M. and Solombrino, F.
Journal: Journal of Nonlinear Science, 25(291-313)
Date: 2015

Hamilton-Dirac systems for charged particles in gauge fields

Author: Jiménez, F.
Journal: J. Geom. Phys., 94:35-49
Date: 2015
Download: arXiv

Hyper-ideal Circle Patterns with Cone Singularities

Author: Dimitrov, N.
Journal: Results in Mathematics, pages 1-45
Date: 2015
DOI: 10.1007/s00025-015-0453-3
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Ideal geometry of periodic entanglements

Author: Hyde, Myfanwy E. Evans AND Vanessa Robins AND Stephen
Journal: P. R. Soc. A, 471(2181):2015.0254
Date: 2015
DOI: 10.1098/rspa.2015.0254
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Incircular nets and confocal conics

Authors: Akopyan, A. V. and Bobenko, A. I.
Note: Preprint
Date: 2015
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Induced matchings and the algebraic stability of persistence barcodes

Authors: Bauer, Ulrich and Lesnick, Michael
Journal: Journal of Computational Geometry, 6(2):162--191
Date: 2015
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Interactive design of developable surfaces

Authors: Tang, Chengcheng and Bo, Pengbo and Wallner, Johannes and Pottmann, Helmut
Journal: ACM Trans. Graphics
Note: accepted
Date: 2015
Download: preprint

Isothermic Triangulated Surfaces

Authors: Lam, Wai Yeung and Pinkall, Ulrich
Note: preprint
Date: Jan 2015
Download: arXiv

Linear independence of compactly supported separable shearlet systems

Authors: Ma, Jackie and Petersen, Philipp
Journal: Journal of Mathematical Analysis and Applications, 428:238-257
Date: 2015
DOI: 10.1016/j.jmaa.2015.03.001
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Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation

Authors: Maas, Jan and Matthes, Daniel
Note: Submitted
Date: 2015
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Long-Time Behaviour of a Fully Discrete Lagrangian Scheme for a Family of Fourth Order

Author: Osberger, Horst
Note: Submitted
Date: 2015
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Many projectively unique polytopes

Author: Karim Adiprasito, Günter M. Ziegler
Journal: Inventiones math., 199:581-652
Date: 2015
DOI: 10.1007/s00222-014-0519-y
Download: external arXiv

Minima of invariant functions: The inverse problem

Authors: Scheurle, Jürgen and Walcher, Sebastian
Journal: Acta Applicandae Mathematicae, 137(1):233-252
Note: accepted for publication by Acta Applicandae Mathematicae
Date: 2015
DOI: 10.1007/s10440-014-9997-6
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Modified equations for variational integrators

Author: Vermeeren, M.
Date: 2015
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New developments on the Geometric Nonholonomic Integrator

Authors: Ferraro, Sebastián and Jiménez, Fernando and de Diego, David Martín
Journal: Nonlinearity, 28:871-900
Date: 2015
Download: arXiv

Non-Hermitian propagation of Hagedorn wavepackets

Authors: C. Lasser, R. Schubert, and Troppmann, S.
Note: 33pp
Date: 2015
Download: arXiv

On integrability of discrete variational systems: Octahedron relations

Authors: Boll, R. and Petrera, M. and Suris, Yu. B.
Journal: Internat. Math. Res. Notes, 2015:rnv140, 24 pp.
Date: 2015
Download: arXiv

On the discretization of nonholonomic dynamics in $\mathbb{R}^n$

Authors: Jimenez, Fernando and Scheurle, Juergen
Journal: J. Geom. Mechanics, 7(1):43-80
Date: 2015
Download: arXiv

On the discretization of the Euler-Poincaré-Suslov equations in $SO(3)$

Authors: Jiménez, F. and Scheurle, J.
Date: 2015
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Optimal Triangulation of saddle surfaces

Authors: Atariah, Dror and Rote, Günter and Wintraecken, Mathijs
Date: 2015
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Perfect Matching Quad Layouts for Manifold Meshes

Authors: Razafindrazaka, Faniry H. and Reitebuch, Ulrich and Polthier, Konrad
Journal: Computer Graphics Forum (proceedings of EUROGRAPHICS Symposium on Geometry Processing), 34(5)
Date: 2015
Download: external

Polyhedral Patterns

Authors: Jiang, Caigui and Tang, Chengcheng and Vaxman, Amir and Wonka, Peter and Pottmann, Helmut
Journal: ACM Trans. Graphics, 34
Note: Proc. SIGGRAPH Asia
Date: 2015

Realization of Regular Maps Large Genus

Authors: Razafindrazaka, Faniry and Polthier, Konrad
In Book: Topological and Statistical Methods for Complex Data, Springer Berlin Heidelberg
Date: 2015
DOI: 10.1007/978-3-662-44900-4_14
ISBN: 978-3-662-44900-4
Download: external

S-conical minimal surfaces. Towards a unified theory of discrete minimal surfaces.

Authors: Bobenko, A. I. and Hoffmann, T. and König, B. and Sechelmann, S.
Note: Preprint
Date: 2015
Download: internal

Semi-Discrete Constant Mean Curvature Surfaces

Author: Müller, Christian
Journal: Math. Z., 279:459-478
Date: 2015
DOI: 10.1007/s00209-014-1377-4
Download: external preprint

Smoothing discrete Morse theory

Author: Benedetti, B.
Journal: Annali Sc.\ Norm.\ Sup.\ Cl.\ Sci.
Note: accepted, preprint at arxiv
Date: 2015
Download: arXiv

Subdivisions, shellability, and collapsibility of products

Authors: Adiprasito, K. and Benedetti, B.
Journal: Combinatorica
Note: accepted, preprint at arxiv
Date: 2015
Download: arXiv

Supercyclidic nets

Authors: Bobenko, Alexander I. and Huhnen-Venedey, Emanuel and Rörig, Thilo
Journal: Int. Math. Res. Not.
Note: accepted, preprint at arxiv
Date: 2015
Download: arXiv

The asymptotic behaviour of the discrete holomorphic map $Z^a$ via the Riemann-Hilbert method

Authors: Bobenko, A. I. and Its, A.
Journal: Duke Math.~J.
Note: accepted
Date: 2015
Download: arXiv

The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes

Authors: Nill, Benjamin and Padrol, Arnau
Journal: European Journal of Combinatorics (special issue in honour of Michel Las Vergnas), 50:159–179
Date: 2015
Download: arXiv

Tight complexes in $3$-space admit perfect discrete Morse functions

Authors: Adiprasito, K. and Benedetti, B.
Journal: Eur. J. Comb., 45:71--84
Date: 2015
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Touch und Tablet: Stationen einer Designstudie

Author: Richter-Gebert, Jürgen
Journal: Heintz, G., Pinkernell, G., Schacht, F. (Hrsg.): Digitale Werkzeuge für den Mathematikunterricht. Festschrift für Hans-Jürgen Elschenbroich
Date: 2015
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Transport Distances and Geodesic Convexity for Systems of Degenerate Diffusion Equations

Authors: Zinsl, Jonathan and Matthes, Daniel
Journal: Calculus of Variations and Partial Differential Equations
Note: accepted
Date: 2015
Download: arXiv

Twisted x-rays: incoming waveforms yielding discrete diffraction patterns for helical structures

Authors: G. Friesecke, R. D. James, and Jüstel, D.
Date: 2015
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Universality theorems for inscribed polytopes and Delaunay triangulations

Authors: Adiprasito, Karim and Padrol, Arnau and Theran, Louis
Journal: Discrete Comput. Geom., 54:412-431
Date: 2015
Download: arXiv

Variational symmetries and pluri-Lagrangian systems

Author: Suris, Yu. B.
In Collection: Dynamical Systems, Number Theory and Applications: A Festschrift in Honor of Professor Armin Leutbecher's 80th Birthday, World Scientific
Date: 2015
Download: arXiv

A discrete parametrized surface theory in $\mathbb{R^3}$

Authors: Hoffmann, Tim and Sageman-Furnas, Andrew O. and Wardetzky, Max
Note: preprint
Date: Dec 2014
Download: arXiv

Discrete Riemann surfaces: linear discretization and its convergence

Authors: Bobenko, Alexander and Skopenkov, Mikhail
Journal: J. reine und angew. Math.
Date: Oct 2014
DOI: 10.1515/crelle-2014-0065
Download: external arXiv

On the construction of elliptic solutions of integrable birational maps

Authors: Petrera, Matteo and Pfadler, Andreas and Suris, Yuri B.
Note: submitted to Experimental Mathematics
Date: Sep 2014
Download: arXiv

Surface panelization using periodic conformal maps

Authors: Rörig, Thilo and Sechelmann, Stefan and Kycia, Agata and Fleischmann, Moritz
In Proceedings: Advances in Architectural Geometry 2014, Springer
Note: Best Paper Award
Date: Sep 2014

Quasi-classical description of molecular dynamics based on Egorov's theorem

Authors: Keller, Johannes and Lasser, Caroline
Journal: The Journal of Chemical Physics, 141(5)
Date: Aug 2014
DOI: 10.1063/1.4891517
Download: external arXiv

Theta rank, levelness, and matroid minors

Authors: Grande, Francesco and Sanyal, Raman
Note: preprint
Date: Aug 2014
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$\alpha$-Molecules

Authors: Grohs, Philipp and Keiper, Sandra and Kutyniok, Gitta and Schäfer, Martin
Note: preprint
Date: Jul 2014
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A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies

Authors: Delshams, A. and Gonchenko, M. and Gutiérrez, P.
Note: To appear in Research Perspectives CRM Barcelona
Date: Jul 2014
Download: arXiv

Kinematics of Expansive Planar Periodic Mechanisms

Authors: Borcea, Ciprian S. and Streinu, Ileana
Journal: Advances in Robot Kinematics (ARK'14)
Note: preprint
Date: Jul 2014
Download: internal

On dynamics and bifurcations of area-preserving maps with homoclinic tangencies

Authors: Delshams, A. and Gonchenko, M. and Gonchenko, S.
Note: Submitted to Nonlinearity
Date: Jul 2014
Download: arXiv

Regularization and Numerical Solution of the Inverse Scattering Problem using Shearlet Frames

Authors: Kutyniok, Gitta and Mehrmann, Volker and Petersen, Philipp
Note: preprint
Date: Jul 2014
Download: arXiv

Smoke Rings from Smoke

Authors: Weißmann, Steffen and Pinkall, Ulrich and Schröder, Peter
Journal: ACM Trans. Graph., 33(4):140:1--140:8
Date: Jul 2014
DOI: 10.1145/2601097.2601171
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Landau–Zener type surface hopping algorithms

Authors: Belyaev, Andrey K. and Lasser, Caroline and Trigila, Giulio
Journal: The Journal of Chemical Physics, 140(22):-
Date: Jun 2014
DOI: 10.1063/1.4882073
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Liftings and stresses for planar periodic frameworks

Authors: Borcea, Ciprian S. and Streinu, Ileana
Journal: in Proc. 30th Symposium on Computational Geometry (SoCG'14)
Note: preprint
Date: Jun 2014
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Hagedorn Wavepackets in Time-Frequency and Phase Space

Authors: Lasser, Caroline and Troppmann, Stephanie
Journal: Journal of Fourier Analysis and Applications, 20(4):679-714
Date: May 2014
DOI: 10.1007/s00041-014-9330-9
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Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums

Authors: Adiprasito, Karim and Sanyal, Raman
Note: preprint
Date: May 2014
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Polygons as slices of higher-dimensional polytopes

Authors: Padrol, Arnau and Pfeifle, Julian
Note: Preprint
Date: Apr 2014
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Differential-Based Geometry and Texture Editing with Brushes

Authors: Krauth, Niklas and Nieser, Matthias and Polthier, Konrad
Journal: J. Math. Imaging Vis., 48(2):359--368
Date: Feb 2014
DOI: 10.1007/s10851-013-0443-6
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Discretization of asymptotic line parametrizations using hyperboloid surface patches

Authors: Huhnen-Venedey, Emanuel and Rörig, Thilo
Journal: Geometriae Dedicata, 168(1):265-289
Date: Feb 2014
DOI: 10.1007/s10711-013-9830-9
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Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions

Authors: Bikbaev, R.F. and Bobenko, A.I. and Its, A.R.
Journal: Theoretical and Mathematical Physics, 178(2):143-193
Date: Feb 2014
DOI: 10.1007/s11232-014-0135-4
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What is integrability of discrete variational systems?

Authors: Boll, Raphael and Petrera, Matteo and Suris, Yuri B.
Journal: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 470(2162)
Date: Feb 2014
DOI: 10.1098/rspa.2013.0550
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Affine arc length polylines and curvature continuous uniform B-splines

Author: Käferböck, Florian
Journal: Computer-Aided Geom. Design, 31
Date: 2014
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Asymptotic Behavior of Gradient Flows Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension

Authors: Francesco, Marco Di and Fornasier, Massimo and Hütter, Jan-Christian and Matthes, Daniel
Note: accepted at SIAM-MA
Date: Jan 2014
Download: arXiv

Cell packing structures

Authors: Pottmann, Helmut and Jiang, Caigui and Höbinger, Mathias and Wang, Jun and Bompas, Philippe and Wallner, Johannes
Journal: Computer-Aided Design
Note: to appear. Special issue on Material Ecology
Date: 2014
DOI: 10.1016/j.cad.2014.02.009
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Complex Polynomial Mandalas and their Symmetries

Authors: Konstantin Poelke, Zoi Tokoutsi and Polthier, Konrad
In Proceedings: Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing
Date: 2014
ISBN: 978-1-938664-11-3
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Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio

Authors: Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere
Journal: Regul. Chaotic Dyn., 19(6):663--680
Date: 2014
DOI: 10.1134/S1560354714060057
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Convergence of a Variational Lagrangian Scheme for a Nonlinear Drift Diffusion Equation

Authors: Matthes, Daniel and Osberger, Horst
Journal: ESAIM: Mathematical Modelling and Numerical Analysis, 48(03):697-726
Note: Cambridge Univ Press
Date: 2014
Download: arXiv

Corrections to Wigner type phase space methods

Authors: Gaim, Wolfgang and Lasser, Caroline
Journal: Nonlinearity, 27(12):2951-2974
Date: 2014
DOI: 10.1088/0951-7715/27/12/2951
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Delaunay triangulations with disconnected realization spaces

Authors: Padrol, Arnau and Theran, Louis
In Proceedings: 30th Annual Symposium on Computational Geometry, SOCG'14, Kyoto, Japan, June 08 - 11, 2014, {ACM}
Date: 2014
DOI: 10.1145/2582112.2582119
ISBN: 978-1-4503-2594-3
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Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality

Authors: Bobenko, Alexander I. and Hertrich-Jeromin, Udo and Lukyanenko, Inna
Journal: Discrete and Computational Geometry, 52(4):612-629
Date: 2014
DOI: 10.1007/s00454-014-9622-5
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Dualizable Shearlet Frames and Sparse Approximation

Authors: Kutyniok, Gitta and Lim, Wang-Q
Note: preprint
Date: 2014
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Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies

Authors: Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere
Journal: Electron. Res. Announc. Math. Sci., 21:41--61
Date: 2014
DOI: 10.3934/era.2014.21.41
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Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type

Authors: Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere
Journal: International Journal of Bifurcation and Chaos, 24(08):1440011
Date: 2014
DOI: 10.1142/S0218127414400112
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Extremal examples of collapsible complexes and random discrete Morse theory

Authors: Adiprasito, K. and Benedetti, B. and Lutz, F. H.
Note: 20 pages
Date: 2014
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Foldable triangulations of lattice polygons

Authors: Joswig, Michael and Ziegler, Günter M.
Journal: Amer. Math. Monthly, 121(8):706-710
Date: 2014
DOI: 10.4169/amermathmont.121.08.706
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Form-finding with Polyhedral Meshes Made Simple

Authors: Tang, Chengcheng and Sun, Xiang and Gomes, Alexandra and Wallner, Johannes and Pottmann, Helmut
Journal: ACM Trans. Graphics, 33(4):$\#$70,1-9
Note: Proc. SIGGRAPH
Date: 2014
DOI: 10.1145/2601097.2601213
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Freeform Honeycomb Structures

Authors: Jiang, Caigui and Wang, Jun and Wallner, Johannes and Pottmann, Helmut
Journal: Comput. Graph. Forum, 33(5):185-194
Note: Proc. Symposium Geometry Processing
Date: 2014
DOI: 10.1111/cgf.12444
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Geodesically Convex Energies and Confinement of Solutions for a Multi-Component System of Nonlocal Interaction Equations

Author: Zinsl, Jonathan
Note: Submitted
Date: 2014
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Interactive modeling of architectural freeform structures - combining geometry with fabrication and statics

Authors: Jiang, Caigui and Tang, Chengcheng and Tomičić, Marko and Wallner, Johannes and Pottmann, Helmut
In Collection: Advances in Architectural Geometry, Springer
Date: 2014
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Many neighborly inscribed polytopes and Delaunay triangulations

Authors: Gonska, Bernd and Padrol, Arnau
Journal: DMTCS Proceedings, pages 161-168
In Proceedings: 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
Date: 2014
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Metastability and dynamics of discrete topological singularities in two dimensions: a Gamma-convergence approach

Authors: R. Alicandro, L. De Luca, A. Garroni and Ponsiglione, M.
Journal: Archive for Rational Mechanics and Analysis, 214(1):269--330
Date: 2014

On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies

Authors: Delshams, Amadeu and Gonchenko, Marina and Gonchenko, Sergey V.
Journal: Regul. Chaotic Dyn., 19(6):702--717
Date: 2014
DOI: 10.1134/S1560354714060082
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On Discrete Constant Mean Curvature Surfaces

Author: Müller, Christian
Journal: Discrete Comput. Geom., 51(3):516--538
Date: 2014
DOI: 10.1007/s00454-014-9577-6
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On offsets and curvatures for discrete and semidiscrete surfaces

Authors: Karpenkov, Oleg and Wallner, Johannes
Journal: Beitr. Algebra Geom., 55:207-228
Date: 2014
DOI: 10.1007/s13366-013-0146-6
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On Weingarten Transformations of Hyperbolic Nets

Authors: Huhnen-Venedey, Emanuel and Schief, Wolfgang K.
Journal: International Mathematics Research Notices
Date: 2014
DOI: 10.1093/imrn/rnt354
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Parabolic molecules

Authors: Grohs, Philipp and Kutyniok, Gitta
Journal: Found. Comput. Math., 14(2):299--337
Date: 2014
DOI: 10.1007/s10208-013-9170-z
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Random discrete Morse theory and a new library of triangulations

Authors: Benedetti, B. and Lutz, F. H.
Journal: Experimental Mathematics, 23(1):66-94
Date: 2014
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Regular Surfaces and Regular Maps

Authors: Razafindrazaka, Faniry and Polthier, Konrad
In Proceedings: Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing
Date: 2014
ISBN: 978-1-938664-11-3
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Ropelength Criticality

Authors: Cantarella, Jason and Fu, Joseph H. G. and Kusner, Robert B. and Sullivan, John M.
Journal: Geom. Topol., 18:1973--2043
Date: 2014
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Shaping the skin: the interplay of mesoscale geometry and corneocyte swelling

Author: Roth, Myfanwy E. Evans AND Roland
Journal: Phys. Rev. Lett., 112(3):038102:1--5
Date: 2014
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ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets

Authors: Kutyniok, Gitta and Lim, Wang-Q and Reisenhofer, Rafael
Note: Preprint
Date: Jan 2014
Download: internal arXiv

Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing

Authors: Krahmer, F. and Saab, R. and Yilmaz, Ö.
Journal: Inform. Inference, 3(1):40-58
Date: 2014
Download: external

Smoke rings from smoke

Authors: S. Weissmann, U. Pinkall, and Schröder, P.
Journal: ACM Transactions on Graphics, 33
Date: 2014

Smooth surfaces from rational bilinear patches

Authors: Shi, Ling and Wang, Jun and Pottmann, Helmut
Journal: Comput. Aided Geom. Design, 31(1):1--12
Date: 2014
DOI: 10.1016/j.cagd.2013.11.001
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Suprema of Chaos Processes and the Restricted Isometry Property

Authors: Krahmer, F. and Mendelson, S. and Rauhut, H.
Journal: Comm. Pure Appl. Math., 67(11):1877-1904
Date: 2014
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Teaching and Learning "What is Mathematics"

Authors: Ziegler, Günter M. and Loos, Andreas
In Collection: Proc. International Congress of Mathematicians, Seoul 2014, Kyung Moon Books
Date: 2014
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The Morse Theory of Cech and Delaunay Filtrations

Authors: Bauer, Ulrich and Edelsbrunner, Herbert
In Proceedings: Proceedings of the Thirtieth Annual Symposium on Computational Geometry, ACM
Date: 2014
DOI: 10.1145/2582112.2582167
ISBN: 978-1-4503-2594-3
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The Persistent Homology of a Self-Map

Authors: Edelsbrunner, Herbert and Jablonski, Grzegorz and Mrozek, Marian
Journal: Foundations of Computational Mathematics, pages 1--32
Date: 2014
DOI: 10.1007/s10208-014-9223-y
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Tight and non-tight topological Tverberg type theorems

Authors: Blagojevic, Pavle V. M. and Frick, Florian and Matschke, Benjamin and Ziegler, Günter M.
Journal: Oberwolfach Reports, 11(3):2284-2287
Date: 2014
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Tverberg plus constraints

Authors: Blagojevic, Pavle V. M. and Frick, Florian and Ziegler, Günter M.
Journal: Bulletin of the London Mathematical Society, 46:953-967
Note: Extended Abstract: Oberwolfach Reports, 11(1):14-16, 2014
Date: 2014
DOI: 10.1112/blms/bdu049
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Variational Laplacians for semidiscrete surfaces

Authors: Carl, Wolfgang and Wallner, Johannes
Note: submitted
Date: 2014
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Diskretisierung in Geometrie und Dynamik - Elastische Stäbe und Rauchringe

Authors: Bobenko, A.I. and Springborn, B.
Journal: Mitteilungen der DMV, 21(1):218-224
Date: Dec 2013
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Many neighborly polytopes and oriented matroids.

Author: Padrol, Arnau
Journal: Discrete Comput. Geom., 50(4):865--902
Date: Dec 2013
DOI: 10.1007/s00454-013-9544-7
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On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations

Author: Boll, Raphael
Journal: Journal of Nonlinear Mathematical Physics, 20(4):577-605
Date: Dec 2013
DOI: 10.1080/14029251.2013.865829
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An Efficient Construction of Reduced Deformable Objects

Authors: von Tycowicz, Christoph and Schulz, Christian and Seidel, Hans-Peter and Hildebrandt, Klaus
Journal: ACM Trans. Graph., 32(6):213:1--213:10
Date: Nov 2013
DOI: 10.1145/2508363.2508392
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There is no triangulation of the torus with vertex degrees 5, 6, ... , 6, 7 and related results: geometric proofs for combinatorial theorems

Authors: Izmestiev, Ivan and Kusner, Robert B. and Rote, Günter and Springborn, Boris and Sullivan, John M.
Journal: Geometriae Dedicata, 166(1):15-29
Date: Oct 2013
DOI: 10.1007/s10711-012-9782-5
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Knots in Collapsible and Non-Collapsible Balls

Authors: Benedetti, Bruno and Lutz, Frank H.
Journal: Electronic Journal of Combinatorics, 20, No. 3
Note: Paper P31, 29 pages
Date: Aug 2013
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Motion in a Symmetric Potential on the Hyperbolic Plane

Authors: Santoprete, Manuele and Scheurle, Jürgen and Walcher, Sebastian
Journal: Canadian J. of Mathematics
Note: 27 pages
Date: Aug 2013
DOI: 10.4153/CJM-2013-026-2
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Neighborly inscribed polytopes and Delaunay triangulations

Authors: Gonska, Bernd and Padrol, Arnau
Note: Preprint
Date: Aug 2013
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Propagation of Quantum Expectations with Husimi Functions

Authors: Keller, Johannes and Lasser, Caroline
Journal: SIAM Journal on Applied Mathematics, 73(4):1557-1581
Date: Jul 2013
DOI: 10.1137/120889186
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Robust fairing via conformal curvature flow

Authors: K. Crane, U. Pinkall, and Schröder, P.
Journal: ACM Trans. Graph, 32(4):61:1--61:10
Date: Jul 2013

Automatic Deformation of Riemann–Hilbert Problems with Applications to the Painlevé II Transcendents

Authors: Wechslberger, Georg and Bornemann, Folkmar
Journal: Constructive Approximation, pages 1-21
Date: Jun 2013
DOI: 10.1007/s00365-013-9199-x
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Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles

Authors: Witte, N.S. and Bornemann, F. and Forrester, P.J.
Journal: Nonlinearity, Volume 26, Number 6, pp. 1799-1822
Date: Jun 2013
DOI: 10.1088/0951-7715/26/6/1799
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On highly regular embeddings

Authors: Blagojevic, Pavle V. M. and Lück, Wolfgang and Ziegler, Günter M.
Note: Preprint, 19 pages; Transactions Amer. Math. Soc. to appear, Extended Abstract: in Proc. "Combinatorial Methods in Topology and Algebra'' (CoMeTa), Cortona
Date: May 2013
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Gabor Shearlets

Authors: Bodmann, Bernhard G. and Kutyniok, Gitta and Zhuang, Xiaosheng
Journal: Appl. Comput. Harmon. Anal.
Note: submitted
Date: Mar 2013
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Regular Map Smoothing

Authors: Razafindrazaka, Faniry and Polthier, Konrad
Journal: IMAGEN-A, 3(5)
Date: Mar 2013
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The Hirsch conjecture holds for normal flag complexes

Authors: Adiprasito, Karim Alexander and Benedetti, Bruno
Note: preprint, revised April 2013
Date: Mar 2013
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De Casteljauʼs algorithm on manifolds

Authors: Nava-Yazdani, E. and Polthier, K.
Journal: Computer Aided Geometric Design, 30(7):722 - 732
Date: 2013
DOI: 10.1016/j.cagd.2013.06.002
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Discrete complex analysis – the medial graph approach

Authors: Bobenko, Alexander I. and Günther, Felix
Journal: Actes des rencontres du CIRM 3 no. 1: Courbure discrète: théorie et applications, pages 159-169
Date: 2013
DOI: 10.5802/acirm.65
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Discrete Line Congruences for Shading and Lighting

Authors: Wang, J. and Jiang, C. and Bompas, P. and Wallner, J. and Pottmann, H.
Journal: Computer Graphics Forum, 32(5):53-62
Note: Proc. Symposium Geometry Processing
Date: 2013
DOI: 10.1111/cgf.12172
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Globally optimal direction fields

Authors: Knöppel, Felix and Crane, Keenan and Pinkall, Ulrich and Schröder, Peter
Journal: ACM Trans. Graph., 32(4)
Date: 2013
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Inscribable stacked polytopes

Authors: Gonska, Bernd and Ziegler, Günter M.
Journal: Adv. Geom., 13:723-740
Date: 2013
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Metric geometry, convexity and collapsibility

Authors: Adiprasito, K. and Benedetti, B.
Date: 2013
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Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems

Authors: Boll, R. and Petrera, M. and Suris, Yu. B.
Journal: J. Phys. A: Math. Theor., 46(27):275024, 26 pp.
Date: 2013
DOI: 10.1088/1751-8113/46/27/275204
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Periodic entanglement I: nets from hyperbolic reticulations

Author: Hyde, Myfanwy E. Evans AND Vanessa Robins AND Stephen
Journal: Acta Cryst., A69:241--261
Date: 2013
DOI: 10.1107/S0108767313001670
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Periodic entanglement II: weavings from hyperbolic line patterns

Author: Hyde, Myfanwy E. Evans AND Vanessa Robins AND Stephen
Journal: Acta Cryst., A69:262--275
Date: 2013
DOI: 10.1107/S0108767313001682
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Quasiisothermic Mesh Layout

Authors: Sechelmann, Stefan and Rörig, Thilo and Bobenko, Alexander I.
In Collection: Advances in Architectural Geometry 2012, Springer Vienna
Date: 2013
DOI: 10.1007/978-3-7091-1251-9_20
ISBN: 978-3-7091-1250-2
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Robust Fairing via Conformal Curvature Flow

Authors: Crane, Keenan and Pinkall, Ulrich and Schröder, Peter
Journal: ACM Trans. Graph., 32
Date: 2013
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Smooth surfaces from bilinear patches: discrete affine minimal surfaces

Authors: Käferböck, Florian and Pottmann, Helmut
Journal: Computer-Aided Geom. Design, 30:476-489
Date: 2013
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Sparsity and spectral properties of dual frames

Authors: Krahmer, F. and Kutyniok, G. and Lemvig, J.
Journal: Linear Algebra and its Applications, 439(4):982 - 998
Date: 2013
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The 6-ring

Authors: Razafindrazaka, Faniry and Polthier, Konrad
In Proceedings: Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing
Date: 2013
ISBN: 978-1-938664-06-9
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Topology Optimisation of Regular and Irregular Elastic Gridshells by Means of a Non-linear Variational Method

Authors: Lafuente Hernández, Elisa and Sechelmann, Stefan and Rörig, Thilo and Gengnagel, Christoph
In Collection: Advances in Architectural Geometry 2012, Springer Vienna
Date: 2013
DOI: 10.1007/978-3-7091-1251-9_11
ISBN: 978-3-7091-1250-2
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Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms

Author: Suris, Yu. B.
Journal: J. Geometric Mechanics, 5(3):365--379
Date: 2013
DOI: 10.3934/jgm.2013.5.365
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On Discrete Integrable Equations with Convex Variational Principles

Authors: Bobenko, Alexander I. and Günther, Felix
Journal: Letters in Mathematical Physics, 102(2):181-202
Date: Sep 2012
DOI: 10.1007/s11005-012-0583-4
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Variational integrators for underactuated mechanical control systems with symmetries

Authors: Colombo, Leonardo and Jiménez, Fernando and de Diego, David Martín
Note: submitted
Date: Sep 2012
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S. Kovalevskaya system, its generalization and discretization

Authors: Petrera, M. and Suris, Y. B.
Journal: Frontiers of Mathematics in China, 2013, 8, No. 5, p. 1047-1065
Date: Aug 2012
DOI: 10.1007/s11464-013-0305-y
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Spherical geometry and integrable systems

Authors: Petrera, M. and Suris, Y. B.
Journal: Geometriae Dedicata
Date: Aug 2012
DOI: 10.1007/s10711-013-9843-4
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Robust Modeling of Constant Mean Curvature Surfaces

Authors: Pan, Hao and Choi, Yi-King and Liu, Yang and Hu, Wenchao and Du, Qiang and Polthier, Konrad and Zhang, Caiming and Wang, Wenping
Journal: ACM Trans. Graph., 31(4):85:1--85:11
Date: Jul 2012
DOI: 10.1145/2185520.2185581
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Construction of compactly supported shearlet frames.

Authors: Kittipoom, Pisamai and Kutyniok, Gitta and Lim, Wang-Q
Journal: Constr. Approx., 35(1):21--72
Date: 2012
DOI: 10.1007/s00365-011-9142-y
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Domain Coloring of Complex Functions: An Implementation-Oriented Introduction

Authors: Poelke, K. and Polthier, K.
Journal: IEEE Computer Graphics and Applications, 32(5):90-97
Date: 2012
DOI: 10.1109/MCG.2012.100
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Hexagonal Global Parameterization of Arbitrary Surfaces

Authors: Nieser, Matthias and Palacios, Jonathan and Polthier, Konrad and Zhang, Eugene
Journal: IEEE Transactions on Visualization and Computer Graphics, 18(6):865-878
Date: 2012
DOI: 10.1109/TVCG.2011.118
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Lower bounds for the error decay incurred by coarse quantization schemes

Authors: Krahmer, F. and Ward, R.
Journal: Appl. Comput. Harmonic Anal., 32(1):131--138
Date: 2012
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Modal shape analysis beyond Laplacian

Authors: Hildebrandt, Klaus and Schulz, Christian and von Tycowicz, Christoph and Polthier, Konrad
Journal: Computer Aided Geometric Design, 29(5):204--218
Date: 2012
DOI: 10.1016/j.cagd.2012.01.001
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Polytope mit vielen Splits und ihre Sekundärfächer

Authors: Joswig, Michael and Rörig, Thilo
Journal: Math. Semesterber., 59(2):145--152
Date: 2012
DOI: 10.1007/s00591-012-0102-9
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Root-exponential accuracy for coarse quantization of finite frame expansions

Authors: Krahmer, F. and Saab, R. and Ward, R.
Journal: IEEE Trans. Inform. Theory, 58(2):1069--1079
Date: 2012
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Ruled Free Forms

Authors: Flöry, Simon and Nagai, Yukie and Isvoranu, Florin and Pottmann, Helmut and Wallner, Johannes
In Collection: Advances in Architectural Geometry 2012, Springer
Date: 2012
DOI: 10.1007/978-3-7091-1251-9_4
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A Quantitative Notion of Redundancy for Finite Frames

Authors: Bodmann, B. G. and Casazza, P. G. and Kutyniok, G.
Journal: Appl. Comput. Harmon. Anal., 30:348-362
Date: 2011
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An Optimal Family of Exponentially Accurate One-Bit Sigma-Delta Quantization Schemes

Authors: Deift, P. and Güntürk, C. S. and Krahmer, F.
Journal: Comm. Pure Appl. Math., 64(7):883--919
Date: 2011
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Coarse Quantization with the Fast Digital Shearlet Transform

Authors: Bodmann, B. G. and Kutyniok, G. and Zhuang, X.
In Proceedings: Wavelets and Sparsity XIV (San Diego, CA, 2011), SPIE Proc., SPIE, Bellingham, WA
Date: 2011
DOI: 10.1117/12.892720
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Compactly supported shearlets are optimally sparse.

Authors: Kutyniok, Gitta and Lim, Wang-Q
Journal: J. Approx. Theory, 163(11):1564--1589
Date: 2011
DOI: 10.1016/j.jat.2011.06.005
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From three-dimensional weavings to swollen corneocytes

Author: Hyde, Myfanwy E. Evans AND Stephen T.
Journal: J.~R. Soc. Interface, 8:1274--1280
Date: 2011
DOI: 10.1098/rsif.2010.0722
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Generalized shape operators on polyhedral surfaces

Authors: Hildebrandt, Klaus and Polthier, Konrad
Journal: Computer Aided Geometric Design, 28(5):321 - 343
Date: 2011
DOI: DOI: 10.1016/j.cagd.2011.05.001
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On approximation of the Laplace-Beltrami operator and the Willmore energy of surfaces

Authors: Hildebrandt, Klaus and Polthier, Konrad
Journal: Computer Graphics Forum, 30(5):1513--1520
Date: 2011
DOI: 10.1111/j.1467-8659.2011.02025.x
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Optimally sparse frames

Authors: Casazza, P. and Heinecke, A. and Krahmer, F. and Kutyniok, G.
Journal: IEEE Trans. Inform. Theory, 57(11):7279--7287
Date: 2011
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Sparse Recovery from Combined Fusion Frame Measurements

Authors: Boufounos, P. and Kutyniok, G. and Rauhut, H.
Journal: IEEE Trans. Inform. Theory, 57:3864-3876
Date: 2011
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Spin transformations of discrete surfaces

Authors: Crane, K. and Pinkall, U. and Schröder, P.
Journal: ACM Transactions on Graphics, 30
Date: 2011
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A simple geometric model for elastic deformations

Authors: Chao, I. and Pinkall, U. and Sanan, P. and Schröder, P.
Journal: ACM Transactions on Graphics, 29
Date: 2010
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Filament-based smoke with vortex shedding and variational reconnection

Authors: Weißmann, S. and Pinkall, U.
Journal: ACM Transactions on Graphics, 29
Date: 2010

The power of scripting: DGS meets programming

Authors: Richter-Gebert, J. and Kortenkamp, U.
Journal: Acta didactica Napocensia, 3(2):67-78
Date: 2010

Totally splittable polytopes

Authors: Herrmann, Sven and Joswig, Michael
Journal: Discrete Comput. Geom., 44(1):149--166
Date: 2010
DOI: 10.1007/s00454-009-9217-8
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Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines

Authors: Bauer, Ulrich and Polthier, Konrad and Wardetzky, Max
Journal: Discrete and Computational Geometry, 43(4):798--823
Date: 2010
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The Distortion of a Knotted Curve

Authors: Denne, Elizabeth and Sullivan, John M.
Journal: Proc. Amer. Math. Soc., 137:1139--1148
Date: 2009
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A variational principle for weighted Delaunay triangulations and hyperideal polyhedra

Author: Springborn, Boris
Journal: J. Differential Geom., 78(2):333--367
Date: 2008
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Conformal equivalence of triangle meshes

Authors: Springborn, B. and Schröder, P. and Pinkall, U.
Journal: ACM Transactions on Graphics, 27
Date: 2008
DOI: 10.1145/1360612.1360676
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A discrete Laplace-Beltrami operator for simplicial surfaces

Authors: Bobenko, Alexander I. and Springborn, Boris A.
Journal: Discrete Comput. Geom., 38(4):740-756
Date: 2007
DOI: 10.1007/s00454-007-9006-1
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An algorithm for the construction of intrinsic Delaunay triangulations with applications to digital geometry processing

Authors: Fisher, Michael and Springborn, Boris and Schröder, Peter and Bobenko, Alexander I.
Journal: Computing, 81(2-3):199--213
Date: 2007
DOI: 10.1007/s00607-007-0249-8
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QuadCover - Surface Parameterization using Branched Coverings

Authors: Kälberer, Felix and Nieser, Matthias and Polthier, Konrad
Journal: Comput. Graph. Forum, 26(3):375--384
Date: 2007

Stability of Persistence Diagrams

Authors: Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John
Journal: Discrete and Computational Geometry, 37(1):103--120
Date: Jan 2007
DOI: 10.1007/s00454-006-1276-5
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Computing optimal Morse matchings

Authors: Joswig, Michael and Pfetsch, Marc E.
Journal: SIAM J. Discrete Math., 20(1):11--25 (electronic)
Date: 2006
DOI: 10.1137/S0895480104445885
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Criticality for the Gehring Link Problem

Authors: Cantarella, Jason and Fu, Joseph H. G. and Kusner, Robert B. and Sullivan, John M. and Wrinkle, Nancy C.
Journal: Geom. Topol., 10:2055--2115
Date: 2006
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Minimal surfaces from circle patterns: Geometry from combinatorics

Authors: Bobenko, A. and Hoffmann, T. and Springborn, B.
Journal: Ann. of Math., 164(1):231--264
Date: 2006
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On the convergence of metric and geometric properties of polyhedral surfaces

Authors: Hildebrandt, Klaus and Polthier, Konrad and Wardetzky, Max
Journal: Geometriae Dedicata, 123(1):89--112
Date: 2006

Quadrisecants give new lower bounds for the ropelength of a knot

Authors: Denne, Elizabeth and Diao, Yuanan and Sullivan, John M.
Journal: Geom. Topol., 10:1--26
Date: 2006
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Anisotropic smoothing of point sets

Authors: Lange, Carsten and Polthier, Konrad
Journal: Computer Aided Geometric Design, 22(7):680--692
Date: 2005

Sparse multidimensional representation using shearlets

Authors: Labate, D. and Lim, W-Q. and Kutyniok, G. and Weiss, G.
Journal: SPIE Proc. 5914, SPIE, Bellingham, pages 254--262
Date: 2005
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Using automatic theorem proving to improve the usability of geometry software

Authors: Kortenkamp, U. and Richter-Gebert, J.
In Proceedings: Proceedings of the Mathematical User Interfaces Workshop
Date: 2004

Surface Reconstruction by Wrapping Finite Sets in Space

Author: Edelsbrunner, Herbert
In Collection: Discrete and Computational Geometry, Springer Berlin Heidelberg
Date: 2003
DOI: 10.1007/978-3-642-55566-4\_17
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Topological Persistence and Simplification

Authors: Edelsbrunner, Herbert and Letscher, David and Zomorodian, Afra
Journal: Discrete & Computational Geometry, 28(4):511--533
Date: Nov 2002
DOI: 10.1007/s00454-002-2885-2
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Complexity issues in dynamic geometry

Authors: Richter-Gebert, J. and Kortenkamp, U.
In Proceedings: Foundations of Computational Mathematics: Proceedings of the Smalefest 2000, Hong Kong, July 13-17, 2000, World Scientific
Date: 2002

EG-Models - a New Journal for Digital Geometry Models

Authors: Joswig, Michael and Polthier, Konrad
In Collection: Multimedia Tools for Communicating Mathematics, Springer
Date: 2002

On the minimum ropelength of knots and links

Authors: Cantarella, Jason and Kusner, Robert B. and Sullivan, John M.
Journal: Invent. Math., 150:257--286
Date: 2002
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Grundlagen Dynamischer Geometrie

Authors: Kortenkamp, U. and Richter-Gebert, J.
Journal: Zeichnung--Figur--Zugfigur, pages 123--145
In Collection: Zeichnung - Figur - Zugfigur: Mathematische und didaktische Aspekte Dynamischer Geometrie-Software, Franzbecker
Date: 2001

Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori

Authors: Ferus, D. and Leschke, K. and Pedit, F. and Pinkall, U.
Journal: Inventiones Mathematicae, 146(3):507--593
Date: 2001
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polymake: a framework for analyzing convex polytopes

Authors: Gawrilow, Ewgenij and Joswig, Michael
In Collection: Polytopes - combinatorics and computation (Oberwolfach, 1997), Birkhäuser
Date: 2000
DOI: 10.1007/978-3-0348-8438-9_2
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Discretization of surfaces and integrable systems

Authors: Bobenko, A. and Pinkall, U.
In Collection: Discrete integrable geometry and physics, Oxford Univ. Press
Date: 1999
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The union of balls and its dual shape

Author: Edelsbrunner, H.
Journal: Discrete and Computational Geometry, 13(1):415--440
Date: Dec 1995
DOI: 10.1007/bf02574053
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Computing discrete minimal surfaces and their conjugates

Authors: Pinkall, U. and Polthier, K.
Journal: Experimental Mathematics, 2(1):15--36
Date: 1993
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Bonnet pairs and isothermic surfaces

Authors: Kamberov, G. and Pedit, F. and Pinkall, U.
Journal: Duke Math. J., 92(3):637--644
Date:
DOI: 10.1215/S0012-7094-98-09219-5
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PhD thesis
Parameterizations in the Configuration Space and Approximations of Related Surfaces

Author: Atariah, Dror
Date: 2014
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Posters
Planar quad layout on NURBS-surfaces from symmetric conjugate curves

Authors: Seidel, Christoph and Rörig, Thilo and Sechelmann, Stefan
Note: Presented at Advances in Architectural Geometry 2014
Date: Sep 2014
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