메뉴 건너뛰기




Volumn 31, Issue 2, 2009, Pages 337-350

Information geometry for landmark shape analysis: Unifying shape representation and deformation

Author keywords

Fisher information; Fisher Rao metric; Gaussian mixture models; Havrda Charv t entropy; Information geometry; Landmark shapes; Shape analysis; Shape matching

Indexed keywords

FISHER INFORMATION; FISHER-RAO METRIC; GAUSSIAN MIXTURE MODELS; INFORMATION GEOMETRY; LANDMARK SHAPES; SHAPE ANALYSIS; SHAPE MATCHING;

EID: 62249092462     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2008.69     Document Type: Article
Times cited : (24)

References (47)
  • 2
    • 33750940582 scopus 로고    scopus 로고
    • Shape Matching Using the Fisher-Rao Riemannian Metric: Unifying Shape Representation and Deformation
    • A. Peter and A. Rangarajan, "Shape Matching Using the Fisher-Rao Riemannian Metric: Unifying Shape Representation and Deformation," Proc. IEEE Int'l Symp. Biomedical Imaging (ISBI '06), pp. 1164-1167, 2006.
    • (2006) Proc. IEEE Int'l Symp. Biomedical Imaging (ISBI '06) , pp. 1164-1167
    • Peter, A.1    Rangarajan, A.2
  • 5
    • 34250830971 scopus 로고
    • Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
    • June
    • F.L. Bookstein, "Principal Warps: Thin-Plate Splines and the Decomposition of Deformations," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 11, no. 6, pp. 567-585, June 1989.
    • (1989) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.11 , Issue.6 , pp. 567-585
    • Bookstein, F.L.1
  • 6
  • 9
    • 0034249514 scopus 로고    scopus 로고
    • Landmark Matching via Large Deformation Diffeomorphisms
    • Aug
    • S. Joshi and M. Miller, "Landmark Matching via Large Deformation Diffeomorphisms," IEEE Trans. Image Processing, vol. 9, no. 8, pp. 1357-1370, Aug. 2000.
    • (2000) IEEE Trans. Image Processing , vol.9 , Issue.8 , pp. 1357-1370
    • Joshi, S.1    Miller, M.2
  • 10
    • 0042904903 scopus 로고    scopus 로고
    • A New Point Matching Algorithm for Non-Rigid Registration
    • Mar
    • H. Chui and A. Rangarajan, "A New Point Matching Algorithm for Non-Rigid Registration," Computer Vision and Image Understanding, vol. 89, nos. 2-3, pp. 114-141, Mar. 2003.
    • (2003) Computer Vision and Image Understanding , vol.89 , Issue.2-3 , pp. 114-141
    • Chui, H.1    Rangarajan, A.2
  • 14
    • 0030215025 scopus 로고    scopus 로고
    • A Surface-Based Technique for Warping Three-Dimensional Images of the Brain
    • Aug
    • P. Thompson and A.W. Toga, "A Surface-Based Technique for Warping Three-Dimensional Images of the Brain," IEEE Trans. Medical Imaging vol. 5, no. 4, pp. 402-417, Aug. 1996.
    • (1996) IEEE Trans. Medical Imaging , vol.5 , Issue.4 , pp. 402-417
    • Thompson, P.1    Toga, A.W.2
  • 15
    • 0001445688 scopus 로고
    • Entropy Differential Metric, Distance and Divergence Measures in Probability Spaces: A Unified Approach
    • J. Burbea and R. Rao, "Entropy Differential Metric, Distance and Divergence Measures in Probability Spaces: A Unified Approach," J. Multivariate Analysis, vol. 12, pp. 575-596, 1982.
    • (1982) J. Multivariate Analysis , vol.12 , pp. 575-596
    • Burbea, J.1    Rao, R.2
  • 16
    • 0002453010 scopus 로고
    • Quantification Method of Classification Processes: Concept of Structural α-entropy
    • M.E. Havrda and F. Charvát, "Quantification Method of Classification Processes: Concept of Structural α-entropy," Kybernetica, vol. 3, pp. 30-35, 1967.
    • (1967) Kybernetica , vol.3 , pp. 30-35
    • Havrda, M.E.1    Charvát, F.2
  • 17
    • 0036691608 scopus 로고    scopus 로고
    • Information-Theoretic Matching of Two Point Sets
    • Aug
    • Y.W.K. Woods and M. McClain, "Information-Theoretic Matching of Two Point Sets," IEEE Trans. Image Processing, vol. 11, no. 8, pp. 868-872, Aug. 2002.
    • (2002) IEEE Trans. Image Processing , vol.11 , Issue.8 , pp. 868-872
    • Woods, Y.W.K.1    McClain, M.2
  • 19
    • 33745875649 scopus 로고    scopus 로고
    • A Robust Algorithm for Point Set Registration Using Mixture of Gaussians
    • B. Jian and B.C. Vemuri, "A Robust Algorithm for Point Set Registration Using Mixture of Gaussians," Proc. IEEE Int'l Conf. Computer Vision (ICCV '05), vol. 2, pp. 1246-1251, 2005.
    • (2005) Proc. IEEE Int'l Conf. Computer Vision (ICCV '05) , vol.2 , pp. 1246-1251
    • Jian, B.1    Vemuri, B.C.2
  • 20
    • 0025952277 scopus 로고
    • Divergence Measures Based on the Shannon Entropy
    • Jan
    • J. Lin, "Divergence Measures Based on the Shannon Entropy," IEEE Trans. Information Theory, vol. 37, no. 1, pp. 145-151, Jan. 1991.
    • (1991) IEEE Trans. Information Theory , vol.37 , Issue.1 , pp. 145-151
    • Lin, J.1
  • 22
    • 5044227382 scopus 로고    scopus 로고
    • Diffeomorphic Matching of Distributions: A New Approach for Unlabeled Point-Sets and Sub-Manifolds Matching
    • J. Glaunes, A. Trouvé, and L. Younes, "Diffeomorphic Matching of Distributions: A New Approach for Unlabeled Point-Sets and Sub-Manifolds Matching," Proc. IEEE Conf. Computer Vision and Pattern Recognition (CVPR), vol. 2, pp. 712-718, 2004.
    • (2004) Proc. IEEE Conf. Computer Vision and Pattern Recognition (CVPR) , vol.2 , pp. 712-718
    • Glaunes, J.1    Trouvé, A.2    Younes, L.3
  • 27
    • 0001915002 scopus 로고
    • Information and Accuracy Attainable in Estimation of Statistical Parameters
    • C.R. Rao, "Information and Accuracy Attainable in Estimation of Statistical Parameters," Bull. of the Calcutta Math. Soc., vol. 37, pp. 81-91, 1945.
    • (1945) Bull. of the Calcutta Math. Soc , vol.37 , pp. 81-91
    • Rao, C.R.1
  • 31
    • 0034633630 scopus 로고    scopus 로고
    • Counting Probability Distributions: Differential Geometry and Model Selection
    • I.J. Myung, V. Balasubramanian, and M.A. Pitt, "Counting Probability Distributions: Differential Geometry and Model Selection," Proc. Nat'l Academy of Sciences, vol. 97, pp. 11 170-11 175, 2000.
    • (2000) Proc. Nat'l Academy of Sciences , vol.97
    • Myung, I.J.1    Balasubramanian, V.2    Pitt, M.A.3
  • 32
    • 24044525228 scopus 로고    scopus 로고
    • The Fisher-Rao Metric for Projective Transformations of the Line
    • S.J. Maybank, "The Fisher-Rao Metric for Projective Transformations of the Line," Int'l J. Computer Vision, vol. 63, no. 3, pp. 191-206, 2005.
    • (2005) Int'l J. Computer Vision , vol.63 , Issue.3 , pp. 191-206
    • Maybank, S.J.1
  • 34
    • 33746718728 scopus 로고    scopus 로고
    • Statistics on the Manifold of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing
    • C. Lenglet, M. Rousson, R. Deriche, and O. Faugeras, "Statistics on the Manifold of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing," J. Math. Imaging and Vision, vol. 25, no. 3, pp. 423-444, 2006.
    • (2006) J. Math. Imaging and Vision , vol.25 , Issue.3 , pp. 423-444
    • Lenglet, C.1    Rousson, M.2    Deriche, R.3    Faugeras, O.4
  • 40
    • 0003960631 scopus 로고    scopus 로고
    • Dept. of Ichthyology, California Academy of Sciences
    • Catalog of Fishes, Dept. of Ichthyology, California Academy of Sciences, http://research.calacademy.org/research/ichthyology/, 2007.
    • (2007) Catalog of Fishes
  • 41
    • 0002432238 scopus 로고
    • Shape-Manifolds, Procrustean Metrics and Complex Projective Spaces
    • D.G. Kendall, "Shape-Manifolds, Procrustean Metrics and Complex Projective Spaces," Bull. of the London Math. Soc., vol. 16, pp. 81-121, 1984.
    • (1984) Bull. of the London Math. Soc , vol.16 , pp. 81-121
    • Kendall, D.G.1
  • 43
    • 0035149435 scopus 로고    scopus 로고
    • Radial Basis Functions with Compact Support for Elastic Registration of Medical Images
    • Jan
    • M. Fornefett, K. Rohr, and H.S. Stiehl, "Radial Basis Functions with Compact Support for Elastic Registration of Medical Images," Image and Vision Computing, vol. 19, no. 1, pp. 87-96, Jan. 2001.
    • (2001) Image and Vision Computing , vol.19 , Issue.1 , pp. 87-96
    • Fornefett, M.1    Rohr, K.2    Stiehl, H.S.3
  • 44
    • 24944472983 scopus 로고    scopus 로고
    • Clustering on the Unit Hypersphere Using Von Mises-Fisher Distributions
    • A. Banerjee, I. Dhillon, J. Ghosh, and S. Sra, "Clustering on the Unit Hypersphere Using Von Mises-Fisher Distributions," J. Machine Learning Research, vol. 6, pp. 1345-1382, 2005.
    • (2005) J. Machine Learning Research , vol.6 , pp. 1345-1382
    • Banerjee, A.1    Dhillon, I.2    Ghosh, J.3    Sra, S.4
  • 45
    • 35748951200 scopus 로고    scopus 로고
    • Riemannian Geometry and Statistical Machine Learning,
    • PhD dissertation, Carnegie Mellon Univ
    • G. Lebanon, "Riemannian Geometry and Statistical Machine Learning," PhD dissertation, Carnegie Mellon Univ., 2005.
    • (2005)
    • Lebanon, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.