Map-based exploration of intrinsic shape differences and variability

ACM Transactions on Graphics

Volumn 32, Issue 4, 2013, Pages

  Rustamov, Raif M ^a   Ovsjanikov, Maks ^b   Azencot, Omri ^c   Ben Chen, Mirela ^c   Chazal, Frédéric ^d   Guibas, Leonidas ^a  

^a STANFORD UNIVERSITY   (United States)

^b ÉCOLE POLYTECHNIQUE   (France)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^d INRIA   (France)

Author keywords

Data driven methods; Shape comparison; Shape matching; Shape variability

Indexed keywords

DATA-DRIVEN METHODS; DIFFERENCE OPERATORS; INTRINSIC VARIABILITIES; LINEAR ALGEBRA TOOLS; MATRIX REPRESENTATION; SHAPE COMPARISON; SHAPE MATCHING; SHAPE VARIABILITIES;

LINEAR ALGEBRA;

DATA HANDLING;

EID: 84880792116     PISSN: 07300301     EISSN: 15577368     Source Type: Journal    
DOI: 10.1145/2461912.2461959     Document Type: Article

References (33)

1. ALLEN, B., CURLESS, B., AND POPOVIĆ, Z. 2003. The space of human body shapes: reconstruction and parameterization from range scans. ACM Trans. Graph. 22, 3 (July), 587-594.
2. ANGUELOV, D., SRINIVASAN, P., KOLLER, D., THRUN, S., RODGERS, J., AND DAVIS, J. 2005. Scape: shape completion and animation of people. ACM Trans. Graph. 24, 3, 408-416.
3. BEN-CHEN, M., WEBER, O., AND GOTSMAN, C. 2009. Variational harmonic maps for space deformation. ACM Trans. Graph. 28, 3 (July), 34:1-34:11.
4. BOOKSTEIN, F. 1996. Shape and the information in medical images: A decade of the morphometric synthesis. In Proc. IEEE MMBIA, 2-12.
5. BREZIS, H. 2010. Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer-Verlag.
6. BRONSTEIN, A., BRONSTEIN, M., AND KIMMEL, R. 2006. Generalized multidimensional scaling: a framework for isometryinvariant partial surface matching. PNAS 103, 5, 1168-1172.
7. BRONSTEIN, A., BRONSTEIN, M., AND KIMMEL, R. 2008. Numerical Geometry of Non-Rigid Shapes. Springer.
8. COOTES, T., TAYLOR, C., ET AL. 2001. Statistical models of appearance for medical image analysis and computer vision. In Proc. SPIE Medical Imaging, vol. 4322, 236-248.
9. DRYDEN, I. L., AND MARDIA, K. V. 1998. Statistical Shape Analysis. John Wiley and Sons.
10. FARRELL, R., BRANSON, S., AND WELINDER, P., 2011. First Workshop on Fine-Grained Visual Categorization (FGVC) at CVPR 2011. http://http://www.fgvc. org/.
11. FLETCHER, P., LU, C., PIZER, S., AND JOSHI, S. 2004. Principal geodesic analysis for the study of nonlinear statistics of shape. Medical Imaging, IEEE Transactions on 23, 8, 995-1005.
12. GERIG, G., STYNER, M., SHENTON, M., AND LIEBERMAN, J. 2001. Shape versus size: Improved understanding of the morphology of brain structures. In Proc. MICCAI, 24-32.
13. GOLLAND, P., GRIMSON, W., SHENTON, M., AND KIKINIS, R. 2005. Detection and analysis of statistical differences in anatomical shape. Medical Image Analysis 9, 1, 69-86.
14. HASLER, N., STOLL, C., SUNKEL, M., ROSENHAHN, B., AND SEIDEL, H. 2009. A statistical model of human pose and body shape. Computer Graphics Forum 28, 2, 337-346.
15. HERTZMANN, A., JACOBS, C. E., OLIVER, N., CURLESS, B., AND SALESIN, D. H. 2001. Image analogies. In Proc. SIGGRAPH, 327-340.
16. KASS, M., WITKIN, A., AND TERZOPOULOS, D. 1988. Snakes: Active contour models. Int. J. Comput. Vision 1, 4, 321-331.
17. KILIAN, M., MITRA, N. J., AND POTTMANN, H. 2007. Geometric modeling in shape space. In Proc. SIGGRAPH, 64:1-64:8.
18. KIM, V. G., LIPMAN, Y., AND FUNKHOUSER, T. 2011. Blended intrinsic maps. ACM Trans. Graph. 30, 4 (July), 79:1-79:12.
19. KIM, V. G., LI, W., MITRA, N. J., DIVERDI, S., AND FUNKHOUSER, T. 2012. Exploring collections of 3d models using fuzzy correspondences. ACM Trans. Graph. 31, 4 (July), 54:1-54:11.
20. LAI, R., SHI, Y., SCHEIBEL, K., FEARS, S., WOODS, R., TOGA, A., AND CHAN, T. 2010. Metric-induced optimal embedding for intrinsic 3d shape analysis. In CVPR, 2871-2878.
21. NAIN, D., STYNER, M., NIETHAMMER, M., LEVITT, J., SHENTON, M., GERIG, G., BOBICK, A., AND TANNENBAUM, A. 2007. Statistical shape analysis of brain structures using spherical wavelets. In Proc. ISBI, 209-212.
22. OVSJANIKOV, M., LI, W., GUIBAS, L., AND MITRA, N. J. 2011. Exploration of continuous variability in collections of 3d shapes. ACM Trans. Graph. 30, 4 (July), 33:1-33:10.
23. OVSJANIKOV, M., BEN-CHEN, M., SOLOMON, J., BUTSCHER, A., AND GUIBAS, L. 2012. Functional maps: a flexible representation of maps between shapes. ACM Trans. Graph. 31, 4 (July), 30:1-30:11.
24. OVSJANIKOV, M., BEN-CHEN, M., CHAZAL, F., AND GUIBAS, L. 2013. Analysis and visualization of maps between shapes. Computer Graphics Forum. To appear.
25. PINKALL, U., AND POLTHIER, K. 1993. Computing discrete minimal surfaces and their conjugates. Exp. Math. 2, 1, 15-36.
26. SAHILLIOǦLU, Y., AND YEMEZ, Y. 2011. Coarse-to-fine combinatorial matching for dense isometric shape correspondence. Computer Graphics Forum 30, 5, 1461-1470.
27. SCHAEFER, S., MCPHAIL, T., AND WARREN, J. 2006. Image deformation using moving least squares. ACM Trans. Graph. 25, 3 (July), 533-540.
28. SCHUMACHER, H. 2013. Conformal maps and p-Dirichlet energies. Tech. rep., Univ. of Göttingen.
29. SHARMA, A., AND HORAUD, R. 2010. Shape matching based on diffusion embedding and on mutual isometric consistency. In Proc. NORDIA Workshop (CVPR), 29-36.
30. SUMNER, R. W., AND POPOVIĆ , J. 2004. Deformation transfer for triangle meshes. ACM Trans. Graph. 23, 3 (Aug.), 399-405.
31. VASILESCU, M., AND TERZOPOULOS, D. 2007. Multilinear (tensor) ICA and dimensionality reduction. Independent Component Analysis and Signal Separation, 818-826.
32. WANG, Y., ZHANG, J., GUTMAN, B., CHAN, T., BECKER, J., AIZENSTEIN, H., LOPEZ, O., TAMBURO, R., TOGA, A., AND THOMPSON, P. 2010. Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular abnormalities in hiv/aids. Neuroimage 49, 3, 2141-2157.
33. WUHRER, S., SHU, C., AND XI, P. 2012. Posture-invariant statistical shape analysis using laplace operator. Computers & Graphics 36, 5, 410-416.