Symmetrization

ACM Transactions on Graphics

Volumn 26, Issue 3, 2007, Pages

  Mitra, Niloy J ^a   Guibas, Leonidas J ^b   Pauly, Mark ^c  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b STANFORD UNIVERSITY   (United States)

^c ETH ZURICH   (Switzerland)

Author keywords

Correspondence; Matching; Shape analysis; Shape optimization; Symmetry

Indexed keywords

GEOMETRIC OBJECTS; OPTIMAL SYMMETRY TRANSFORMATIONS; SHAPE ANALYSIS; SYMMETRIZING DEFORMATIONS;

GEOMETRY; IMAGE ENHANCEMENT; MATHEMATICAL MODELS; PATTERN MATCHING; SHAPE OPTIMIZATION; THREE DIMENSIONAL COMPUTER GRAPHICS;

ALGORITHMS;

EID: 34547659342     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/1276377.1276456     Document Type: Article

References (30)

1. ALLIEZ, P., COHEN-STEINER, D., YVINEC, M., AND DESBRUN, M. 2005. Variational tetrahedral meshing. ACM Trans. Graph. 24, 3, 617-625.
2. ATALLAH, M. 1985. On symmetry detection. IEEE Trans. on Computers, 663-666.
3. ATTALI, D., BOISSONNAT, J., AND EDELSBRUNNER, H. 2004. Stability and computation of the medial axis - a state-of-the-art report. Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration.
4. BLUM, H. 1967. A transformation for extracting descriptors of shape. In Models for the Perception of Speech and Visual Forms, MIT Press, 362-380.
5. BOTSCH, M., PAULY, M., GROSS, M., AND KOBBELT, L. 2006. Primo: Coupled prisms for intuitive surface modeling. In Proc. Symposium on Geometry Processing, 11-22.
6. COX, T., AND COX, M. 1994. Multidimensional Scaling. Chapman and Hall, London.
7. EGGERT, D. W., LORUSSO, A., AND FISHER, R. B. 1997. Estimating 3-d rigid body transformations: a comparison of four major algorithms. In Mach. Vision Appl., vol. 9(5-6), 272-290.
8. FABER, G. 1920. Ueber potentialtheorie und konforme abbildung. Sitzungsber. Bayer. Akad. Wiss. Math.-Naturwiss. Kl., 49-64.
9. FISCHLER, M. A., AND BOLLES, R. C 1981. Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography. In Comm. of the ACM, 381-395.
10. FUNKHOUSER, T., AND SHILANE, P. 2006. Partial matching of 3D shapes with priority-driven search. In Symposium on Geometry Processing, 131-142.
11. GAL, R., AND COHEN-OR, D. 2006. Salient geometric features for partial shape matching and similarity. ACM TOG 25, 1.
12. GARLAND, M., AND HECKBERT, P. S. 1997. Surface simplification using quadric error metrics. In SIGGRAPH '97, 209-216.
13. GRUNBAUM, B. 1963. Measures of symmetry for convex sets. Proc. Symposium Pure Math. 7, 233-270.
14. HADWIGER, H. 1957. Vorlesungen ueber Inhalt, Oberflaeche und Isoperimetrie. Springer.
15. HOFER, M., POTTMANN, H., AND RAVANI, B. 2004. From curve design algorithms to the design of rigid body motions. The Visual Computer, 279-297.
16. IGARASHI, T., MOSCOVICH, T., AND HUGHES, J. F. 2005. Asrigid-as-possible shape manipulation. ACM Trans. Graph. 24, 3, 1134-1141.
17. KAZHDAN, M. M., CHAZELLE, B., DOBKIN, D. P., FINKELSTEIN, A., AND FUNKHOUSER, T. A. 2002. A reflective symmetry descriptor. In ECCV, 642-656.
18. KAZHDAN, M., FUNKHOUSER, T., AND RUSINKIEWICZ, S. 2004. Symmetry descriptors and 3d shape matching. In Sympos. on Geometry Processing, 116-125.
19. MARTINET, A., SOLER, C., HOLZSCHUCH, N., AND SILLION, F. 2006. Accurate detection of symmetries in 3d shapes. ACM Trans. Graph. 25, 2, 439-464.
20. MITRA, N. J., GUIBAS, L. J., AND PAULY, M. 2006. Partial and approximate symmetry detection for 3d geometry. ACM Trans. Graph. 25, 3, 560-568.
21. PAULY, M., KEISER, R., AND GROSS, M. 2003. Multi-scale feature extraction on point-sampled models. In Proceedings of Eurographics, 281-289.
22. PAULY, M., MITRA, N. J., GIESEN, J., GROSS, M., AND GUIBAS, L. 2005. Example-based 3d scan completion. In Symposium on Geometry Processing, 23-32.
23. PODOLAK, J., SHILANE, P., GOLOVINSKIY, A., RUSINKIEWICZ, S., AND FUNKHOUSER, T. 2006. A planar-reflective symmetry transform for 3d shapes. ACM Trans. Graph. 25, 3, 549-559.
24. SCHOUTEN, A. 1951. Tensor analysis for physicists. Cambridge Univ. Press.
25. SIMARI, P., KALOGERAKIS, E., AND SINGH, K. 2006. Folding meshes: Hierarchical mesh segmentation based on planar symmetry. In Proc. Symposium on Geometry Processing.
26. THRUN, S., AND WEGBREIT, B. 2005. Shape from symmetry. In Int. Conference on Computer Vision.
27. WOLFSON, H. J., AND RIGOUTSOS, I. 1997. Geometric hashing: An overview. IEEE Comput. Sci. Eng. 4, 4, 10-21.
28. WOLTER, J., WOO, T., AND VOLZ, R. 1985. Optimal algorithms for symmetry detection in two and three dimensions. The Visual Computer, 37-48.
29. ZABRODSKY, H., AND WEINSHALL, D. 1997. Using bilateral symmetry to improve 3D reconstruction from image sequences. Computer Vision and Image Understanding: CVIU 67, 1, 48-57.
30. ZABRODSKY, H., PELEG, S., AND AVNIR, D. 1995. Symmetry as a continuous feature. IEEE Transactions on Pattern Analysis and Machine Intelligence 17, 12, 1154-1166.