Support Vector Machine for data on manifolds: An application to image analysis

2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Proceedings, ISBI

Volumn , Issue , 2008, Pages 1195-1198

  Sen, Suman K ^a   Foskey, Mark ^a   Marron, James S ^a   Styner, Martin A ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

Image classification; Image shape analysis

Indexed keywords

IMAGE ANALYSIS; IMAGE ENHANCEMENT; IMAGE RETRIEVAL; LEARNING SYSTEMS; TECHNICAL PRESENTATIONS; TENSORS;

BIOMEDICAL IMAGING; IMAGE CLASSIFICATION; IMAGE SHAPE ANALYSIS; MEDICAL IMAGING;

SUPPORT VECTOR MACHINES;

EID: 51249100455     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISBI.2008.4541216     Document Type: Conference Paper

References (17)

1. I. Dryden and K. Mardia, "Multivariate shape analysis," Sankhya, vol. 55, pp. 460-480, 1993.
2. D. Thompson, On Growth and Form, Cambridge University Press, second edition, 1942.
3. C. G. Small, The statistical theory of shape, Springer, 1996.
4. R.A. Fisher, "The use of multiple measurements in taxonomic problems," Annals of Eugenics, vol. 7, no. 2, pp. 179-188, 1936.
5. V. Vapnik, S. Golowich, and A Smola, "Support vector method for function approximation, regression estimation, and signal processing," Advances in Neural Information Processing Systems, vol. 9, pp. 281-287, 1996.
6. C. J. Burges, "A tutorial on support vector machines for pattern recognition," Data Mining and Knowledge Discovery, vol. 2, pp. 121-167, 1998.
7. J. S. Marron, M. Todd, and J. Ahn, "Distance weighted discrimination," Operations Research and Industrial Engineering, Cornell University, Technical Report 1339, 2004.
8. R.O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification, Wiley-Interscience, 2001.
9. T. Hastie, R. Tibshirani, and J.H. Friedman, The Elements of Statistical Learning, New York: Springer, 2001.
10. S. Pizer, D. Fritsch, P. Yushkevich, V. Johnson, and E. Chaney, "Segmentation, registration, and measurement of shape variation via image object shape," IEEE Transactions on Medical Imaging, vol. 18, no. 851-865, 1999.
11. P. Yushkevich, P. T. Fletcher, S. Joshi, A. Thall, and S. M. Pizer., "Continuous medial representations for geometric object modeling in 2d and 3d," Image and Vision Computing, vol. 21, no. 1, pp. 17-28, 2003.
12. P. J. Basser, J. Mattiello, and D. Le Bihan, "MR diffusion tensor spectroscopy and imaging.," Biophysics Journal, vol. 66, pp. 259-267, 1994.
13. B. Sch ö lkopf and A. Smola, Learning with Kernels., Cambridge: MIT Press, 2002.
14. H. Blum, "A transformation for extracting new descriptors of shape, In W.Wathen-Dunn, editor," Models for the Perception of Speech and Visual Form. MIT Press, Cambridge MA, pp. 363-380, 1967.
15. P. T. Fletcher, C. Lu, and S. Joshi., "Statistics of shape via principal geodesic analysis on lie groups," In Proceedings IEEE Conference on Computer Vision and Pattern Recognition, vol. 1, pp. 95101, 2003.
16. P. T. Fletcher, C. Lu, S. M. Pizer, and S. Joshi., "Principal geodesic analysis for the study of nonlinear statistics of shape.," IEEE Transactions on Medical Imaging, vol. 23, no. 8, pp. 995-1005, 2004.
17. M. Styner, J.A. Lieberman, D. Pantazis, and G. Gerig, "Boundary and medial shape analysis of the hippocampus in schizophrenia," MedIA, vol. 197-203, 2004.