References
- Aubry, M.; Schlickewei, U.; Cremers, D.: The wave kernel signature: a quantum mechanical approach to shape analysis, In Proceedings of 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops), 2011.
- Aubry, M.; Schlickewei, U.; Cremers, D.: Pose-consistent 3D shape segmentation based on a quantum mechanical feature descriptor, In Proceedings of Joint Pattern Recognition Symposium, 2011, 122-131.
- Brand, M.; Huang, K.: A unifying theorem for spectral embedding and clustering, TR2002-42, Mitsubishi Electric Research Laboratories, Cambridge, MA, 2002, http://www.merl.com/publications/docs/TR2002-42.pdf.
- Cohen, E. H.; Singh, M.: Geometric determinants of shape segmentation: tests using segment identification, Vision Research, 47, 2007, 2825-2840. https://doi.org/10.1016/j.visres.2007.06.021
- Crane, K.; Weischedel, C.; Wardetzky, M.: Geodesics in heat: a new approach to computing distance based on heat flow, ACM Transactions on Graphics, 32(5), 2013, Article No. 152. https://doi.org/10.1145/2516971.2516977
- Federer, H.: Geometric Measure Theory, Classics in Mathematics, Springer-Verlag Berlin Heidelberg, 1996.
- Harik, R.; Shi, Y.; Baek, S.: Shape Terra: mechanical feature recognition based on a persistent heat signature, Computer-Aided Design & Applications, 14(2), 2017, 206-218. https://doi.org/10.1080/16864360.2016.1223433
- Higham, N. J.: Computing a nearest symmetric positive semidefinite matrix. Linear Algebra and Its Applications, 103, 103-118. https://doi.org/10.1016/0024-3795(88)90223-6
- Hirani, A. N.: Discrete Exterior Calculus, Ph.D. Thesis, California Institute of Technology, CA, United States, 2003.
- Katz, S.; Tal, A.: Hierarchical mesh decomposition using fuzzy clustering and cuts, ACM Transactions on Graphics, 22(3), 2003, 954-961. https://doi.org/10.1145/882262.882369
- Lim, I. S.; Leek, E. C.: Curvature and the visual perception of shape: theory on information along object boundaries and the minima rule revisited, Psychology Review, 119(3), 2012, 668-677. https://doi.org/10.1037/a0025962
- Liu, R.: Spectral Mesh Segmentation, Ph.D. Thesis, Simon Fraser University, Burnaby, BC, Canada, 2009.
- Liu, R.; Zhang, H.: Segmentation of 3D meshes through spectral clustering, In Proceedings of the 12th Pacific Conference on the Computer Graphics and Applications (PG’04), 2004, 298-305. https://doi.org/10.1109/PCCGA.2004.1348360
- Page, D.L.; Koschan, A.F.; Abidi, M.A.: Perception-based 3D triangle mesh segmentation using fast marching watersheds, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR), 2003. https://doi.org/10.1109/CVPR.2003.1211448
- Rustamov, R.: Laplace-Beltrami eigenfuctions for deformation invariant shape representation, In Proceedings of the 5th Eurographics Symposium on Geometry Processing (SGP’07), 2007, 225-233. https://doi.org/10.2312/SGP/SGP07/225-233
- Shamir, A.: A survey on mesh segmentation techniques. In Computer graphics forum, 27(6), 2008, 1539-1556. https://doi.org/10.1111/j.1467-8659.2007.01103.x
- Skraba, P.; Ovsjanikov, M.; Chazal, F.; Guibas, L: Persistence-based segmentation of deformable shapes, In Proceedings of IEEE Conference on Computer vision and Pattern Recognition Workshops (CVPRW), 2010, 45-52. https://doi.org/10.1109/CVPRW.2010.5543285
- Stoll, R.R.: Set Theory and Logic, Dover Publications, Inc., New York, NY, 1979.
- Sun, J.; Ovsjanikov, M.; Guibas, L.: A concise and provably informative multi-scale signature based on heat diffusion, Proceedings of the Symposium on Geometry Processing (SGP’09), 2009, 1383-1392.
- Tenenbaum, J.B.; De Silva, V.; Langford, J.C.: A global geometric framework for nonlinear dimensionality reduction, Science, 290(5500), 2000, 2319-2323. https://doi.org/10.1126/science.290.5500.2319
- Xu, G.: Convergent discrete Laplace-Beltrami operators over triangular surfaces. In Proceedings of IEEE Geometric Modeling and Processing, 2004, 195-204. https://doi.org/10.1109/GMAP.2004.1290041
- Yi, F.; Sun, M.; Kim, M.; Ramani, K.: Heat-mapping: a robust approach toward perceptually consistent mesh segmentation. In Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2011, 2145-2152.
- Zhou, K.; Snyder, J.; Guo, B.; Shum, H.-Y.: Iso-charts: stretch-driven mesh parameterization using spectral analysis, In Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing (SGP’04), 2004, 45-54. https://doi.org/10.1145/1057432.1057439