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Volumn 9389, Issue , 2015, Pages 22-29

Dimension reduction on Polyspheres with application to skeletal representations

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INFORMATION SCIENCE;

EID: 84950318100     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-319-25040-3_3     Document Type: Conference Paper
Times cited : (15)

References (14)
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  • 2
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    • In: Larsen, R., Nielsen, M., Sporring, J. (eds.), Springer, Heidelberg
    • Arsigny, V., Commowick, O., Pennec, X., Ayache, N.: A log-Euclidean framework for statistics on diffeomorphisms. In: Larsen, R., Nielsen, M., Sporring, J. (eds.) MICCAI 2006. LNCS, vol. 4190, pp. 924–931. Springer, Heidelberg (2006)
    • (2006) MICCAI 2006. LNCS , vol.4190 , pp. 924-931
    • Arsigny, V.1    Commowick, O.2    Pennec, X.3    Ayache, N.4
  • 3
    • 33746651801 scopus 로고    scopus 로고
    • Principal spine shape deformation modes using Riemannian geometry and articulated models
    • In: Perales, F.J., Fisher, R.B. (eds.), Springer, Heidelberg
    • Boisvert, J., Pennec, X., Labelle, H., Cheriet, F., Ayache, N.: Principal spine shape deformation modes using Riemannian geometry and articulated models. In: Perales, F.J., Fisher, R.B. (eds.) AMDO 2006. LNCS, vol. 4069, pp. 346–355. Springer, Heidelberg (2006)
    • (2006) AMDO 2006. LNCS , vol.4069 , pp. 346-355
    • Boisvert, J.1    Pennec, X.2    Labelle, H.3    Cheriet, F.4    Ayache, N.5
  • 4
    • 1842582527 scopus 로고    scopus 로고
    • Smoothness and geometry of boundaries associated to skeletal structures I: Sufficient conditions for smoothness
    • Damon, J.: Smoothness and geometry of boundaries associated to skeletal structures I: sufficient conditions for smoothness. Ann. Inst. Fourier 53(6), 1941–1985 (2003)
    • (2003) Ann. Inst. Fourier , vol.53 , Issue.6 , pp. 1941-1985
    • Damon, J.1
  • 5
    • 34548569798 scopus 로고    scopus 로고
    • Global geometry of regions and boundaries via skeletal and medial integrals
    • Damon, J.: Global geometry of regions and boundaries via skeletal and medial integrals. Commun. Anal. Geom. 15(2), 307–358 (2007)
    • (2007) Commun. Anal. Geom , vol.15 , Issue.2 , pp. 307-358
    • Damon, J.1
  • 6
    • 4043092663 scopus 로고    scopus 로고
    • Principal geodesic analysis for the study of nonlinear statistics of shape
    • Fletcher, P.T., Lu, C., Pizer, S.M., Joshi, S.C.: Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Trans. Med. Imaging 23(8), 995–1005 (2004)
    • (2004) IEEE Trans. Med. Imaging , vol.23 , Issue.8 , pp. 995-1005
    • Fletcher, P.T.1    Lu, C.2    Pizer, S.M.3    Joshi, S.C.4
  • 7
    • 0001886818 scopus 로고
    • Generalized Procrustes analysis
    • Gower, J.C.: Generalized Procrustes analysis. Psychometrika 40, 33–51 (1975)
    • (1975) Psychometrika , vol.40 , pp. 33-51
    • Gower, J.C.1
  • 8
    • 77949381107 scopus 로고    scopus 로고
    • Intrinsic shape analysis: Geodesic principal component analysis for Riemannian manifolds modulo Lie group actions (with discussion)
    • Huckemann, S., Hotz, T., Munk, A.: Intrinsic shape analysis: geodesic principal component analysis for Riemannian manifolds modulo Lie group actions (with discussion). Stat. Sinica 20(1), 1–100 (2010)
    • (2010) Stat. Sinica , vol.20 , Issue.1 , pp. 1-100
    • Huckemann, S.1    Hotz, T.2    Munk, A.3
  • 9
    • 33745954917 scopus 로고    scopus 로고
    • Principal component analysis for Riemannian manifolds with an application to triangular shape spaces
    • Huckemann, S., Ziezold, H.: Principal component analysis for Riemannian manifolds with an application to triangular shape spaces. Adv. App. Probab. (SGSA) 38(2), 299–319 (2006)
    • (2006) Adv. App. Probab. (SGSA) , vol.38 , Issue.2 , pp. 299-319
    • Huckemann, S.1    Ziezold, H.2
  • 10
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    • Analysis of principal nested spheres
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  • 14
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    • Horizontal dimensionality reduction and iterated frame bundle development
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    • Sommer, S.: Horizontal dimensionality reduction and iterated frame bundle development. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2013. LNCS, vol. 8085, pp. 76–83. Springer, Heidelberg (2013)
    • (2013) GSI 2013. LNCS , vol.8085 , pp. 76-83
    • Sommer, S.1


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