Abstract
Extended from the 2D silhouette-parsing short-cut rule [25], a 3D short-cut rule, which states “ as long as a cutting path mainly crosses local skeleton and lies in concave regions, the shorter path is (other things being equal) the better ” , is defined in the paper. Guided by the 3D short-cut rule, we propose a hierarchical model decomposition paradigm, which integrates the advantages of the skeleton-driven and minima-rule-based meaningful segmentation. Our method defines geometrical and topological functions of skeleton to locate initial critical cutting points, and then employs salient contours with negative minimal principal curvature values to determine natural boundary curves among parts. Sufficient experiments have been carried out on many meshes, and have shown that our framework could provide more perceptual results than pure skeleton-driven or minima-rule-based algorithm.
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References
Shamir, A.: Segmentation Algorithms for 3D Boundary Meshes. In: EuroGraphics 2006, STAR, pp. 1–26. Blackwell Publishers, Malden (2006)
Attene, M., Katz, S., Mortara, M., Patane, G., Spagnuolo, M., Tal, A.: Mesh Segmentation - a Comparative Study. In: International Conference on. Shape Modeling and Applications 2006, pp. 14–25. IEEE Press, New York (2006)
Sander, P.V., Snyder, J., Gortler, S.J., Hoppe, H.: Texture Mapping Progressive Meshes. In: SIGGRAPH 2001, pp. 409–416. ACM Press, New York (2001)
Zhang, E., Mischaikow, K., Turk, G.: Feature-Based Surface Parameterization and Texture Mapping. ACM Transactions on Graphics 24(1), 1–27 (2005)
Katz, S., Tal, A.: Hierarchical Mesh Decomposition Using Fuzzy Clustering and Cuts. ACM Transactions on Graphics 22(3), 954–961 (2003)
Lien, J.M., Keyser, J., Amato, N.M.: Simultaneous Shape Decomposition and Skeletonization. In: ACM symposium on Solid and physical modeling 2006, pp. 219–228. ACM Press, New York (2006)
Cohen-Steiner, D., Alliez, P., Desbrun, M.: Variational Shape Approximation. ACM Transactions on Graphics 23(3), 981–990 (2004)
Mitani, J., Suzuki, H.: Making Papercraft Toys from Meshes Using Strip-based Approximate Unfolding. ACM Transactions on Graphics 23(3), 259–263 (2004)
Huang, J., Shi, X., Liu, X., Zhou, K., Wei, L.-Y., Teng, S., Bao, H., Guo, B., Shum, H.-Y.: Subspace Gradient Domain Mesh Deformation. ACM Transactions on Graphics 25(3), 1126–1134 (2006)
Li, X., Toon, T.W., Huang, Z.: Decomposing Polygon Meshes for Interactive Applications. In: ACM Symposium on Interactive 3D Graphics 2001, pp. 35–42. ACM Press, New York (2001)
Attene, M., Falcidieno, B., Spagnuolo, M.: Hierarchical Mesh Segmentation Based-on Fitting Primitives. The Visual Computer 22(3), 181–193 (2006)
Podolak, J., Shilane, P., Golovinskiy, A., Rusinkiewicz, S., Funkhouser, T.: A Planar-Reflective Symmetry Transform for 3D Shapes. ACM Transactions on Graphics 25(3), 549–559 (2006)
Mortaram, M., Patan, G., Spagnuolo, M., Falcidieno, B., Rossignac, J.: Plumber – A Method for a Multi-scale Decomposition of 3D Shape into Tubular Primitives and Bodies. In: ACM Symposium on Solid Modeling and Applications 2004, pp. 139–158. ACM Press, New York (2004)
Katz, S., Leifman, G., Tal, A.: Mesh Segmentation Using Feature Point and Core Extraction. The Visual Computer 21(8-10), 649–658 (2005)
Liu, R., Zhang, H.: Segmentation of 3D Meshes Through Spectral Clustering. In: 12th Pacific Conference on Computer Graphics and Applications, pp. 298–305. IEEE Press, New York (2004)
Page, D.L., Koschan, A.F., Abidi, M.A.: Perception-based 3D Triangle Mesh Segmentation Using Fast Marching Watersheds. In: IEEE Computer Vision and Pattern Recognition, vol. II, pp. 27–32. IEEE Press, New York (2003)
Page, D.L., Abidi, M.A., Koschan, A.F., Zhang, Y.: Object Representation Using the Minima Rule and Superquadrics for Under Vehicle Inspection. In: The IEEE Latin American Conference on Robotics and Automation, pp. 91–97. IEEE Press, New York (2003)
Lee, Y., Lee, S., Shamir, A., Cohen-Or, D., Seidel, H.-P.: Mesh Scissoring with Minima Rule and Part Salience. Computer Aided Geometric Design 22, 444–465 (2005)
Cheng, Z.-Q., Liu, H.-F., Jin, S.-Y.: The Progressive Mesh Compression Based on Meaningful Segmentation. The Visual Computer 23(9-11), 651–660 (2007)
Hoffman, D., Richards, W.A.: Parts of Recognition. Cognition 18, 65–96 (1984)
Hoffman, D., Signh, M.: Salience of Visual Parts. Cognition 63, 29–78 (1997)
Cornea, D.N., Silver, D., Yuan, X.S., Balasubramanian, R.: Computing Hierarchical Curve-Skeletons of 3D Objects. The Visual Computer 21(11), 945–955 (2005)
Tierny, J., Vandeborre, J.-P., Daoudi, M.: Topology Driven 3D Mesh Hierarchical Segmentation. In: The IEEE International Conference on Shape Modeling and Applications 2007, pp. 215–220. IEEE Press, New York (2007)
Cornea, D.N., Silver, D., Min, P.: Curve-Skeleton Applications. In: The IEEE Visualization 2005, pp. 23–28. IEEE Press, New York (2005)
Singh, M., Seyranian, G.D., Hoffman, D.D.: Parsing Silhouettes, the Short-Cut Rule. Perception and Psychophysics 61(4), 636–660 (1999)
Dachille, F., Kaufman, A.: Incremental Triangle Voxelization. In: Graphics Interface 2000, pp. 205–212. IEEE Press, New York (2000)
Kalvin, A., Schonberg, E., Schwartz, J.T., Sharir, M.: Two Dimensional Model Based Boundary Matching Using Footprints. International Journal of Robotics Research 5(4), 38–55 (1986)
Stahl, S.: Introduction to Topology and Geometry. John Wiley & Sons, Hoboken (2004)
Bouix, S., Siddiqi, K.: Divergence-Based Medial Surfaces. In: The 6th European Conference on Computer Vision, 2000, pp. 603–618. Springer, Heidelberg (2000)
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Cheng, ZQ., Li, B., Dang, G., Jin, SY. (2008). Meaningful Mesh Segmentation Guided by the 3D Short-Cut Rule. In: Chen, F., Jüttler, B. (eds) Advances in Geometric Modeling and Processing. GMP 2008. Lecture Notes in Computer Science, vol 4975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79246-8_19
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DOI: https://doi.org/10.1007/978-3-540-79246-8_19
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