Application of discrete curvatures to surface mesh simplification and feature line extraction
Alexandra Bac[1]; Jean-Luc Mari[1]; Dimitri Kudelski[1]; Nam-Van Tran[1]; Sophie Viseur[1]; Marc Daniel[1]
- [1] Aix-Marseille University LSIS, UMR CNRS 7296 Marseille France
Actes des rencontres du CIRM (2013)
- Volume: 3, Issue: 1, page 31-49
- ISSN: 2105-0597
Access Full Article
topAbstract
topHow to cite
topBac, Alexandra, et al. "Application of discrete curvatures to surface mesh simplification and feature line extraction." Actes des rencontres du CIRM 3.1 (2013): 31-49. <http://eudml.org/doc/275321>.
@article{Bac2013,
abstract = {We present two applications of discrete curvatures for surface mesh processing. The first one deals withÊsimplifying a mesh while preserving its sharp features. The second application can be considered as a dual problem, as we investigate ways to detect feature lines within a mesh. Both applications are illustrated with valuable results.},
affiliation = {Aix-Marseille University LSIS, UMR CNRS 7296 Marseille France; Aix-Marseille University LSIS, UMR CNRS 7296 Marseille France; Aix-Marseille University LSIS, UMR CNRS 7296 Marseille France; Aix-Marseille University LSIS, UMR CNRS 7296 Marseille France; Aix-Marseille University LSIS, UMR CNRS 7296 Marseille France; Aix-Marseille University LSIS, UMR CNRS 7296 Marseille France},
author = {Bac, Alexandra, Mari, Jean-Luc, Kudelski, Dimitri, Tran, Nam-Van, Viseur, Sophie, Daniel, Marc},
journal = {Actes des rencontres du CIRM},
keywords = {geometric modeling; discrete curvature; feature extraction; mesh processing},
language = {eng},
month = {11},
number = {1},
pages = {31-49},
publisher = {CIRM},
title = {Application of discrete curvatures to surface mesh simplification and feature line extraction},
url = {http://eudml.org/doc/275321},
volume = {3},
year = {2013},
}
TY - JOUR
AU - Bac, Alexandra
AU - Mari, Jean-Luc
AU - Kudelski, Dimitri
AU - Tran, Nam-Van
AU - Viseur, Sophie
AU - Daniel, Marc
TI - Application of discrete curvatures to surface mesh simplification and feature line extraction
JO - Actes des rencontres du CIRM
DA - 2013/11//
PB - CIRM
VL - 3
IS - 1
SP - 31
EP - 49
AB - We present two applications of discrete curvatures for surface mesh processing. The first one deals withÊsimplifying a mesh while preserving its sharp features. The second application can be considered as a dual problem, as we investigate ways to detect feature lines within a mesh. Both applications are illustrated with valuable results.
LA - eng
KW - geometric modeling; discrete curvature; feature extraction; mesh processing
UR - http://eudml.org/doc/275321
ER -
References
top- M. Daniel A. Bac, J.L. Maltret, 3D modeling and segmentation with discrete curvatures, Medical Informatics and Technology (2005), 13-24
- A. Alexandrov, Intrinsic geometry of surfaces, Transactions of mathematical monograph AMS (1967) Zbl0146.44103MR216434
- Oscar Kin-Chung Au, Chiew-Lan Tai, Hung-Kuo Chu, Daniel Cohen-Or, Tong-Yee Lee, Skeleton Extraction by Mesh Contraction, ACM Transaction on Graphics 27 (2008), 1-10
- A. Bac, N-V. Tran, M. Daniel, J-F. Rainaud, Traitement de surfaces géologiques pour la construction de modèles 3D, journées du GTMG (2005), 22-23, Poitier
- Gilles Bertrand, Simple points, topological numbers and geodesic neighborhoods in cubic grids, Patterns Recognition Letters 15 (1994), pp. 1003-1011
- Gilles Bertrand, A Boolean characterization of three-dimensional simple points, Pattern Recognition Letters 17 (1996), 115-124 Zbl0802.68178
- D. Brodsky, B. Watson, Model Simplification In Reverse, Vector Quantization, (2000)
- F. Cazals, M. Pouget, Estimating differential quantities using polynomial fitting of osculating jets, Comput. Aided Geom. Des. 22 (2005), 121-146 Zbl1084.65017MR2116098
- J. Gall, C. Stoll, E. De Aguiar, C. Theobalt, B. Rosenhahn, H.P. Seidel, Motion capture using joint skeleton tracking and surface estimation, IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR’09) (2009), 1746-1753, IEEE Computer Society
- M. Garland, Quadric-Based Polygonal Surface Simplification, (1999) Zbl0951.68554
- M. Garland, E. Shaffer, A multiphase approach to efficient surface simplification, VIS ’02: Proceedings of the conference on Visualization ’02 (2002), 117-124, IEEE Computer Society, Washington, DC, USA
- J. Goldfeather, V. Interrante, A novel cubic-order algorithm for approximating principal direction vectors, ACM Transaction on Graphics 23 (2004), 45-63
- I. Jolliffe, Principal component analysis, (1986), Springer Verlag Zbl1011.62064MR841268
- Dimitri Kudelski, Jean-Luc Mari, Sophie Viseur, 3D Feature Line Detection Based on Vertex Labeling and 2D Skeletonization, IEEE International Conference on Shape Modeling and Applications (SMI’10) (2010), 246-250, IEEE Computer Society Zbl06169460
- Dimitri Kudelski, Jean-Luc Mari, Sophie Viseur, Extraction of feature lines with connectivity preservation, Computer Graphics International (CGI’11 electronic proceedings) (2011) Zbl06169460
- T.C. Lee, R.L. Kashyap, C.N. Chu, Building skeleton models via 3-D medial surface/axis thinning algorithms, Graphical Models and Image Processing 56 (1994), 462-478
- P. Lindstrom, Out-of-core simplification of large polygonal models, SIGGRAPH ’00: Proceedings of the 27th annual conference on Computer graphics and interactive techniques (2000), 259-262, ACM Press/Addison-Wesley Publishing Co., New York, NY, USA
- Jean-Luc Mari, Surface sketching with a voxel-based skeleton, 15th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI’09) 5810 (2009), 325-336, Springer Zbl1261.68134
- M. Meyer, M. Desbrun, P. Schroeder, A.H. Barr, Discrete Differential Geometry Operators for Triangulated 2-Manifolds, VisMath (2002) Zbl1069.53004
- J. Rossignac, P. Borrel, Multi-resolution 3D approximation for rendering complexe scences, Geometric Modeling In Computer Graphics (1993), 455-465
- Christian Rössl, Leif Kobbelt, Hans-Peter Seidel, Extraction of feature lines on triangulated surfaces using morphological operators, AAAI Spring Symposium on Smart Graphics 00-04 (2000), 71-75
- E. Shaffer, M. Garland, Efficient adaptative simplification of massive meshes, In Proceedings of IEEE Visualization 2001 (2001), 127-134
- Kaleem Siddiqi, Stephen Pizer, Medial Representations. Mathematics, Algorithms and Applications, (2008), Springer Zbl1153.94310MR2547467
- G. Taubin, Estimating the Tensor of Curvature of a Surface from a Polyhedral Approximation, Fifth International Conference on Computer Vision (1995), 902-907
- W. T. Vertterling, S. A Teukolsky, W. H. Press, B. P. Flannery, Numerical Recipe in C/C++, The Art of Scientific Computing, (2003)
- G. Xu, Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces, Comput. Aided Geom. Des. 23 (2006), 193-207 Zbl1083.65024MR2189444
- Kai Yu, Jiangqin Wu, Yueting Zhuang, Skeleton-Based Recognition of Chinese Calligraphic Character Image, Advances in Multimedia Information Processing (PCM’08) 5353 (2008), 228-237, Springer
- T. Y. Zhang, C. Y. Suen, A Fast Parallel Algorithm for Thinning Digital Patterns, Communications of the ACM 27 (1984), 236-239
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.