Extracting lines of curvature from noisy point clouds

[1]  Hans-Christian Hege,et al.  Visualization and Mathematics III , 2011 .

[2]  Derek Nowrouzezahrai,et al.  Data-driven curvature for real-time line drawing of dynamic scenes , 2009, ACM Trans. Graph..

[3]  Shi-Min Hu,et al.  An incremental approach to feature aligned quad dominant remeshing , 2008, SPM '08.

[4]  Kiriakos N. Kutulakos,et al.  Reconstructing the Surface of Inhomogeneous Transparent Scenes by Scatter-Trace Photography , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[5]  Konrad Polthier,et al.  QuadCover ‐ Surface Parameterization using Branched Coverings , 2007, Comput. Graph. Forum.

[6]  Daniel Cohen-Or,et al.  Parameterization-free projection for geometry reconstruction , 2007, ACM Trans. Graph..

[7]  Derek Nowrouzezahrai,et al.  Robust statistical estimation of curvature on discretized surfaces , 2007, Symposium on Geometry Processing.

[8]  Pierre Alliez,et al.  Eurographics Symposium on Geometry Processing (2007) Voronoi-based Variational Reconstruction of Unoriented Point Sets , 2022 .

[9]  Shi-Min Hu,et al.  Robust Feature Classification and Editing , 2007, IEEE Transactions on Visualization and Computer Graphics.

[10]  Pierre Alliez,et al.  Periodic global parameterization , 2006, TOGS.

[11]  Wolfgang Straßer,et al.  Bayesian Point Cloud Reconstruction , 2006, Comput. Graph. Forum.

[12]  Valerio Pascucci,et al.  Spectral surface quadrangulation , 2006, ACM Trans. Graph..

[13]  Leonidas J. Guibas,et al.  Partial and approximate symmetry detection for 3D geometry , 2006, ACM Trans. Graph..

[14]  Johannes Wallner,et al.  Geometric Modeling with Conical Meshes and Developable Surfaces , 2006, ACM Trans. Graph..

[15]  Shi-Min Hu,et al.  Robust principal curvatures on multiple scales , 2006, SGP '06.

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

[17]  Evangelos Kalogerakis,et al.  Folding meshes: hierarchical mesh segmentation based on planar symmetry , 2006, SGP '06.

[18]  Cindy Grimm,et al.  Estimating Curvature on Triangular Meshes , 2006, Int. J. Shape Model..

[19]  Sebastian Thrun,et al.  A Bayesian method for probable surface reconstruction and decimation , 2006, TOGS.

[20]  Konrad Polthier,et al.  Anisotropic smoothing of point sets, , 2005, Comput. Aided Geom. Des..

[21]  Michael Garland,et al.  Harmonic functions for quadrilateral remeshing of arbitrary manifolds , 2005, Comput. Aided Geom. Des..

[22]  Eric L. Miller,et al.  Unstructured point cloud matching within graph-theoretic and thermodynamic frameworks , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[23]  Chi-Keung Tang,et al.  Robust estimation of adaptive tensors of curvature by tensor voting , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[24]  Leif Kobbelt,et al.  Direct anisotropic quad-dominant remeshing , 2004, 12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings..

[25]  Szymon Rusinkiewicz,et al.  Estimating curvatures and their derivatives on triangle meshes , 2004, Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004..

[26]  Hans-Peter Seidel,et al.  Ridge-valley lines on meshes via implicit surface fitting , 2004, ACM Trans. Graph..

[27]  Victoria Interrante,et al.  A novel cubic-order algorithm for approximating principal direction vectors , 2004, TOGS.

[28]  Pierre Alliez,et al.  Anisotropic polygonal remeshing , 2003, ACM Trans. Graph..

[29]  Markus H. Gross,et al.  Shape modeling with point-sampled geometry , 2003, ACM Trans. Graph..

[30]  David Cohen-Steiner,et al.  Restricted delaunay triangulations and normal cycle , 2003, SCG '03.

[31]  Niloy J. Mitra,et al.  Estimating surface normals in noisy point cloud data , 2003, SCG '03.

[32]  Jean Ponce,et al.  Computer Vision: A Modern Approach , 2002 .

[33]  S. Sloan,et al.  Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow , 2002 .

[34]  Mark Meyer,et al.  Discrete Differential-Geometry Operators for Triangulated 2-Manifolds , 2002, VisMath.

[35]  Marc Levoy,et al.  Efficient variants of the ICP algorithm , 2001, Proceedings Third International Conference on 3-D Digital Imaging and Modeling.

[36]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[37]  Aaron Hertzmann,et al.  Illustrating smooth surfaces , 2000, SIGGRAPH.

[38]  Eduardo F. D'Azevedo,et al.  Are Bilinear Quadrilaterals Better Than Linear Triangles? , 2000, SIAM J. Sci. Comput..

[39]  Charles V. Stewart,et al.  Robust Parameter Estimation in Computer Vision , 1999, SIAM Rev..

[40]  Jorge Nocedal,et al.  Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization , 1997, TOMS.

[41]  Mark de Berg,et al.  Computational geometry: algorithms and applications , 1997 .

[42]  Nicholas M. Patrikalakis,et al.  Umbilics and lines of curvature for shape interrogation , 1996, Comput. Aided Geom. Des..

[43]  Harpreet S. Sawhney,et al.  Model-based 2D&3D dominant motion estimation for mosaicing and video representation , 1995, Proceedings of IEEE International Conference on Computer Vision.

[44]  Gabriel Taubin,et al.  Estimating the tensor of curvature of a surface from a polyhedral approximation , 1995, Proceedings of IEEE International Conference on Computer Vision.

[45]  R. B. Simpson.  Anisotropic mesh transformations and optimal error control , 1994 .

[46]  Ralph R. Martin,et al.  Cyclides in surface and solid modeling , 1993, IEEE Computer Graphics and Applications.

[47]  E. D'Azevedo.  Are Bilinear Quadrilaterals Better Than Linear Triangles , 1993 .

[48]  Bernd Hamann,et al.  Curvature Approximation for Triangulated Surfaces , 1993, Geometric Modelling.

[49]  Tony DeRose,et al.  Surface reconstruction from unorganized points , 1992, SIGGRAPH.

[50]  M. J. Pratt,et al.  Cyclides in computer aided geometric design , 1990, Comput. Aided Geom. Des..

[51]  D. Ruppert,et al.  Transformation and Weighting in Regression , 1988 .

[52]  I. Gladwell,et al.  Variable-order variable-step algorithms for second-order systems. Part 2: The codes , 1988 .

[53]  John Law,et al.  Robust Statistics—The Approach Based on Influence Functions , 1986 .

[54]  R. R. Martin,et al.  Principal Patches -a New Class of Surface Patch Based on Differential Geometry , 1983 .