Conformal mesh parameterization using discrete Calabi flow

[1]  Xiaokang Yu,et al.  Surface parameterization based on polar factorization , 2018, J. Comput. Appl. Math..

[2]  Ofir Weber,et al.  Harmonic global parametrization with rational holonomy , 2017, ACM Trans. Graph..

[3]  Yaron Lipman,et al.  Spherical orbifold tutte embeddings , 2017, ACM Trans. Graph..

[4]  Huabin Ge,et al.  On the deformation of inversive distance circle packings, III , 2016, 1607.00833.

[5]  Zohar Levi,et al.  Bounded distortion parametrization in the space of metrics , 2016, ACM Trans. Graph..

[6]  Yaron Lipman,et al.  Hyperbolic orbifold tutte embeddings , 2016, ACM Trans. Graph..

[7]  Min Zhang,et al.  Area-preserving mesh parameterization for poly-annulus surfaces based on optimal mass transportation , 2016, Comput. Aided Geom. Des..

[8]  Huabin Ge,et al.  On the deformation of inversive distance circle packings , 2016, 1604.08317.

[9]  B. Hua,et al.  2-dimensional combinatorial Calabi flow in hyperbolic background geometry , 2013, 1301.6505.

[10]  Jie Gao,et al.  Discrete Ricci Flow for Geometric Routing , 2016, Encyclopedia of Algorithms.

[11]  David Bommes,et al.  Quantized global parametrization , 2015, ACM Trans. Graph..

[12]  Yaron Lipman,et al.  Orbifold Tutte embeddings , 2015, ACM Trans. Graph..

[13]  Olga Sorkine-Hornung,et al.  Integrable PolyVector fields , 2015, ACM Trans. Graph..

[14]  Baining Guo,et al.  Computing locally injective mappings by advanced MIPS , 2015, ACM Trans. Graph..

[15]  Scott Schaefer,et al.  Bijective parameterization with free boundaries , 2015, ACM Trans. Graph..

[16]  Min Zhang,et al.  Survey on Discrete Surface Ricci Flow , 2015, Journal of Computer Science and Technology.

[17]  Xianfeng Gu,et al.  An introduction to Ricci flow and volumetric approximation with applications to shape modeling , 2014, SIGGRAPH ASIA Courses.

[18]  Wei Zeng,et al.  The unified discrete surface Ricci flow , 2014, Graph. Model..

[19]  Denis Zorin,et al.  Locally injective parametrization with arbitrary fixed boundaries , 2014, ACM Trans. Graph..

[20]  Denis Zorin,et al.  Robust field-aligned global parametrization , 2014, ACM Trans. Graph..

[21]  Roi Poranne,et al.  Lifted bijections for low distortion surface mappings , 2014, ACM Trans. Graph..

[22]  Mathieu Desbrun,et al.  Weighted Triangulations for Geometry Processing , 2014, ACM Trans. Graph..

[23]  Xin Zhao,et al.  Area-Preservation Mapping using Optimal Mass Transport , 2013, IEEE Transactions on Visualization and Computer Graphics.

[24]  Denis Zorin,et al.  Controlled-distortion constrained global parametrization , 2013, ACM Trans. Graph..

[25]  Olga Sorkine-Hornung,et al.  Locally Injective Mappings , 2013 .

[26]  Wei Zeng,et al.  Area Preserving Brain Mapping , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[27]  Wei Zeng,et al.  Hyperbolic Harmonic Mapping for Constrained Brain Surface Registration , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[28]  Wei Zeng,et al.  High resolution cardiac shape registration using Ricci flow , 2013, 2013 IEEE 10th International Symposium on Biomedical Imaging.

[29]  S. Yau,et al.  Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations , 2013, 1302.5472.

[30]  Denis Zorin,et al.  Global parametrization by incremental flattening , 2012, ACM Trans. Graph..

[31]  Yaron Lipman,et al.  Bounded distortion mapping spaces for triangular meshes , 2012, ACM Trans. Graph..

[32]  Huabin Ge,et al.  Combinatorial Calabi flows on surfaces , 2012, 1204.2930.

[33]  Paul M. Thompson,et al.  Brain Surface Conformal Parameterization With the Ricci Flow , 2012, IEEE Transactions on Medical Imaging.

[34]  Shi-Min Hu,et al.  Generalized Discrete Ricci Flow , 2009, Comput. Graph. Forum.

[35]  Jie Gao,et al.  Greedy routing with guaranteed delivery using Ricci flows , 2009, 2009 International Conference on Information Processing in Sensor Networks.

[36]  Ren Guo Local rigidity of inversive distance circle packing , 2009, 0903.1401.

[37]  Xianfeng Gu,et al.  Discrete Surface Ricci Flow , 2008, IEEE Transactions on Visualization and Computer Graphics.

[38]  Peter Schröder,et al.  Conformal equivalence of triangle meshes , 2008, ACM Trans. Graph..

[39]  Ligang Liu,et al.  A Local/Global Approach to Mesh Parameterization , 2008, Comput. Graph. Forum.

[40]  Wei Zeng,et al.  3D face matching and registration based on hyperbolic Ricci flow , 2008, 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops.

[41]  Craig Gotsman,et al.  Conformal Flattening by Curvature Prescription and Metric Scaling , 2008, Comput. Graph. Forum.

[42]  D. Glickenstein,et al.  Geometric triangulations and discrete Laplacians on manifolds , 2005, math/0508188.

[43]  Xianfeng Gu,et al.  Variational Method on Discrete Ricci Flow , 2008, IWCIA Special Track on Applications.

[44]  Wei Zeng,et al.  Ricci Flow for 3D Shape Analysis , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[45]  Xianfeng Gu,et al.  Discrete Surface Ricci Flow: Theory and Applications , 2007, IMA Conference on the Mathematics of Surfaces.

[46]  Alla Sheffer,et al.  Mesh parameterization: theory and practice Video files associated with this course are available from the citation page , 2007, SIGGRAPH Courses.

[47]  Xianfeng Gu,et al.  Computing general geometric structures on surfaces using Ricci flow , 2007, Comput. Aided Des..

[48]  Pierre Alliez,et al.  Designing quadrangulations with discrete harmonic forms , 2006, SGP '06.

[49]  Xianfeng Gu,et al.  Computing surface hyperbolic structure and real projective structure , 2006, SPM '06.

[50]  X. Chen,et al.  On the Calabi Flow , 2006, math/0603523.

[51]  Craig Gotsman,et al.  Discrete one-forms on meshes and applications to 3D mesh parameterization , 2006, Comput. Aided Geom. Des..

[52]  Peter Schröder,et al.  Discrete conformal mappings via circle patterns , 2005, TOGS.

[53]  D. Glickenstein,et al.  A combinatorial Yamabe flow in three dimensions , 2005, math/0506182.

[54]  Kenneth Stephenson,et al.  Introduction to Circle Packing: The Theory of Discrete Analytic Functions , 2005 .

[55]  Bruno Lévy,et al.  ABF++: fast and robust angle based flattening , 2005, TOGS.

[56]  Philip L. Bowers,et al.  Uniformizing Dessins and Belyi Maps Via Circle Packing , 2004 .

[57]  S. Yau,et al.  Global conformal surface parameterization , 2003 .

[58]  F. Luo COMBINATORIAL YAMABE FLOW ON SURFACES , 2003, math/0306167.

[59]  Michael S. Floater,et al.  One-to-one piecewise linear mappings over triangulations , 2003, Math. Comput..

[60]  B. Chow,et al.  COMBINATORIAL RICCI FLOWS ON SURFACES , 2002, math/0211256.

[61]  John M. Lee Introduction to Smooth Manifolds , 2002 .

[62]  Mark Meyer,et al.  Intrinsic Parameterizations of Surface Meshes , 2002, Comput. Graph. Forum.

[63]  Bruno Lévy,et al.  Least squares conformal maps for automatic texture atlas generation , 2002, ACM Trans. Graph..

[64]  Gang Tian Extremal Kähler metrics , 2000 .

[65]  K. Hormann,et al.  MIPS: An Efficient Global Parametrization Method , 2000 .

[66]  W. Thurston The geometry and topology of three-manifolds , 1979 .

[67]  Shiing-Shen Chern,et al.  An elementary proof of the existence of isothermal parameters on a surface , 1955 .

[68]  I. Holopainen Riemannian Geometry , 1927, Nature.