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http://dx.doi.org/10.3745/KIPSTA.2007.14-A.7.435

A Mesh Segmentation Reflecting Global and Local Geometric Characteristics  

Im, Jeong-Hun (충북대학교 컴퓨터교육과)
Park, Young-Jin (충북대학교 정보산업공학과)
Seong, Dong-Ook (충북대학교 정보통신공학과)
Ha, Jong-Sung (우석대학교 게임콘텐츠학과)
Yoo, Kwan-Hee (충북대학교 정보산업공학과 및 컴퓨터교육과)
Publication Information
The KIPS Transactions:PartA / v.14A, no.7, 2007 , pp. 435-442 More about this Journal
Abstract
This paper is concerned with the mesh segmentation problem that can be applied to diverse applications such as texture mapping, simplification, morphing, compression, and shape matching for 3D mesh models. The mesh segmentation is the process of dividing a given mesh into the disjoint set of sub-meshes. We propose a method for segmenting meshes by simultaneously reflecting global and local geometric characteristics of the meshes. First, we extract sharp vertices over mesh vertices by interpreting the curvatures and convexity of a given mesh, which are respectively contained in the local and global geometric characteristics of the mesh. Next, we partition the sharp vertices into the $\kappa$ number of clusters by adopting the $\kappa$-means clustering method [29] based on the Euclidean distances between all pairs of the sharp vertices. Other vertices excluding the sharp vertices are merged into the nearest clusters by Euclidean distances. Also we implement the proposed method and visualize its experimental results on several 3D mesh models.
Keywords
Mesh; Segmentation; Curvature; Convex hull; Sharp vertex;
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1 A. Rosenfeld and E. Johnston, 'Angle detection in digital curves,' IEEE Transactions on Computers, Vol.22, pp.875-878, 1973   DOI   ScienceOn
2 A.D.C. Smith, The Folding of the Human Brain: from Shape to Function, University of London, PhD Dissertations, 1999
3 D. Cohen-Steiner and J.M. Morvan, 'Restricted Delaunay triangulations and normal cycle', Proc. of 19th Annual ACM Sym. on Computational Geometry, pp.237-246, 2003
4 하종성, '삼차원 제조성에 응용할 수 있는 다면체 단조성 의 특성화', 한국정보과학회 논문지(A), 제24권 11호, pp. 1051-1058, 1997
5 T. Kanungo, et al., 'An efficient k-means clustering algorithm: analysis and implementation,' IEEE Transactions on Pattern Analysis and Machine Intelligence, 2002, 881-892
6 Computational geometry algorithm library, http://www.cgal.org
7 M. Garland, A. Willmott, and P. S. Heckbert, 'Hierarchical face clustering on polygonal surfaces,' Proc. of the 2001 Symposium on Interactive 3D Graphics, pp.49-58, 2001
8 S. Katz and A. Tal, 'Hierarchical mesh decomposition using fuzzy clustering and cuts,' ACM Transactions on Graphics (TOG), Vol.22, No.3, pp.954-961, 2003   DOI   ScienceOn
9 T. Kanungo, D. M. Mount, N. S. Netanyahu, A. D. Piatko, R. Silverman, and A. Y. Wu, 'An efficient k-means clustering algorithm: analysis and implementation,' IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol.24, No.7, pp.881-892, 2002   DOI   ScienceOn
10 P. Shilane, M. Kazhdan, P. Min and T. Funkhouser, 'The Princeton shape benchmark,' Proc. of Shape Modeling International, 2004
11 A. P. Mangan and R. T. Whitaker, 'Partitioning 3D surface meshes using watershed segmentation,' IEEE Transactions on Visualization and Computer Graphics, Vol.5, No.4, pp.308-321, 1999   DOI   ScienceOn
12 T. K. Dey, J. Giesen, and S. Goswami, 'Shape segmentation and matching with flow discretization,' Proc. of the Workshop on Algorithms and Data Structures (WADS), Vol.2748, pp.25-36, 2003
13 G. Turk, 'Re-tiling polygonal surfaces,' ACM Computer Graphics (Proc. of SIGGRAPH '92), Vol.26, No.2, pp.55-64, 1992
14 K. Wu and M. D. Levine, '3D part segmentation using simulated electrical charge distributions,' Proc. of the 1996 IEEE International Conference on Pattern Recognition (ICPR), pp.14-18, 1996
15 D. Cohen Steiner, P. Alliez, and M. Desbrun, 'Variational shape approximation,' Proc. of the 31st Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH), pp.27-34, 2004
16 D. D. Hoffman and W.A. Richards, 'Parts of recognition,' Cognition 18, 1984
17 D. D. Hoffman and M. Singh, 'Salience of visual parts,' Cognition 63, 1997
18 Y. Zhou and Z. Huang, 'Decomposing polygon meshes by means of critical points,' Proc. of MMM'04, 2004
19 M. Mortara, G. Panae, M. Spagnuolo, B. Falcidieno and J. Rossignac, 'Blowing bubbles for the multi-scale analysis and decomposition of traingle meshes,' Algorithmica, Special Issues on Shape Algorithms, Vol. 38, No.2, pp.227-24, 2004   DOI
20 S. Katz, G. Leifman and A. Tal, 'Mesh segmentation using feature points and core etxraction,' Visual Computer Vol.21, 2005
21 J. M. Lien and N. M. Amato, 'Approximate convex decomposition of polyhedra,' Technical Report TR06-002, Dept. of Computer Science, Texas A&M University, 2006
22 Y.J. Lee, S.Y. Lee, A. Shamir, D. Cohen-Or and H.-P. Seidel, Intelligent mesh scissoring using 3d snakes, Proc. of Pacific Graphics, pp. 279-287, 2004
23 Kwan-Hee Yoo and Jong-Sung Ha, User-steered methods for extracting geometric features over 3D Meshes,' Computer-Aided Design and Applications, Vol.2, No.1-4, 2005
24 Kwan-Hee Yoo, Geometric livewire and geometric livelane for 3d meshes,' Journal of KIPS, Vol.2, No.1-4, 2005
25 F. Yamaguchi, Curves and surfaces in Computer Aided Geometric Design, Springer-Berlag, 1988
26 G. Taubin, 'Estimating the tensor of curvatures of a surface from a polyhedral approximation,' Proc. of International Conf. on Computer Vision, 1995
27 D. L. Page, A. F. Koschan, and M. A. Abidi, 'Perception based 3d triangle mesh segmentation using fast matching watersheds,' Conference on Computer Vision and Pattern Recognition, pp.27-32, 2003
28 B. Chazelle, et al., 'Strategies for polyhedral surface decomposition: an experimental study,' Computational Geometry: Theory and Applications, 7, pp.327-342, 1997   DOI   ScienceOn
29 M. Attene, S. Katz, M. Mortara, G. Patane, M. Spagnuolo, and A. Tal, 'Mesh segmentation - a comparative study,' IEEE Int. Conf. on Shape Modeling and Applications, pp.14-25, 2006
30 A. Shamir, 'A formulation of boundary mesh segmentation,' Proc. of 2nd Int. Sym. on 3D Data Processing, Visualization and Transmission (3DPVT'04), pp.82-89, 2004
31 T. Srinak and C. Kambhamettu, 'A novel method for 3D surface mesh segmentation,' Proc. of the 6th IASTED International Conference on Computers, Graphics, and Imaging, pp.212-217, 2003