Quasiisothermic Mesh Layout

作者: Stefan Sechelmann , Thilo Rörig , Alexander I. Bobenko

DOI: 10.1007/978-3-7091-1251-9_20

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摘要: The quality of a quad-mesh depends on the shape individual quadrilaterals. ideal from an architectural point view is planar square or rectangles with fixed aspect ratio. A parameterization that divides surface into such shapes called isothermic, i.e., angle-preserving and curvature-aligned. Such exists only for special class isothermic surfaces. We extend this notion introduce quasiisothermic parameterizations arbitrary triangulated

参考文章(22)
Alexander Bobenko, Yuri Suris, Discrete Differential Geometry: Integrable Structure American Mathematical Society. ,vol. 98, ,(2008) , 10.1090/GSM/098
Ulrich Pinkall, Boris Springborn, Alexander Bobenko, Discrete conformal maps and ideal hyperbolic polyhedra arXiv: Geometric Topology. ,(2010) , 10.2140/GT.2015.19.2155
Michael S. Floater, Kai Hormann, Surface Parameterization: a Tutorial and Survey Advances in Multiresolution for Geometric Modelling. pp. 157- 186 ,(2005) , 10.1007/3-540-26808-1_9
Alexander Bobenko, Tim Hoffmann, Boris Springborn, Minimal surfaces from circle patterns : Geometry from combinatorics Annals of Mathematics. ,vol. 164, pp. 231- 264 ,(2006) , 10.4007/ANNALS.2006.164.231
Boris Springborn, Peter Schröder, Ulrich Pinkall, Conformal equivalence of triangle meshes international conference on computer graphics and interactive techniques. ,vol. 27, pp. 77- ,(2008) , 10.1145/1360612.1360676
Alexander Schiftner, Mathias Höbinger, Johannes Wallner, Helmut Pottmann, Packing circles and spheres on surfaces international conference on computer graphics and interactive techniques. ,vol. 28, pp. 139- ,(2009) , 10.1145/1618452.1618485
Pierre Alliez, David Cohen-Steiner, Olivier Devillers, Bruno Lévy, Mathieu Desbrun, Anisotropic polygonal remeshing international conference on computer graphics and interactive techniques. ,vol. 22, pp. 485- 493 ,(2003) , 10.1145/1201775.882296
Helmut Pottmann, Alexander Schiftner, Pengbo Bo, Heinz Schmiedhofer, Wenping Wang, Niccolo Baldassini, Johannes Wallner, Freeform surfaces from single curved panels international conference on computer graphics and interactive techniques. ,vol. 27, pp. 76- ,(2008) , 10.1145/1360612.1360675
Yang Liu, Helmut Pottmann, Johannes Wallner, Yong-Liang Yang, Wenping Wang, Geometric modeling with conical meshes and developable surfaces international conference on computer graphics and interactive techniques. ,vol. 25, pp. 681- 689 ,(2006) , 10.1145/1141911.1141941