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Volumn 39, Issue 10, 2012, Pages 2199-2207

Exploring the variability of DNA molecules via principal geodesic analysis on the shape space

Author keywords

DNA modeling; nonlinear statistics; principal component analysis; principal geodesic analysis; statistical shape analysis

Indexed keywords


EID: 84865813438     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664763.2012.704353     Document Type: Article
Times cited : (3)

References (27)
  • 2
    • 84865808918 scopus 로고    scopus 로고
    • Statistical analysis of molecular data
    • In: Singh R. K., Singh R., GuoYou Y., Selvi A., Rao G. P., editors Houston: Studium Press LLC
    • Balakrishnan, R. 2010. "Statistical analysis of molecular data". In Molecular Plant Breeding: Principle, Method and Application, Edited by: Singh, R. K., Singh, R., GuoYou, Y., Selvi, A. and Rao, G. P. 209-239. Houston: Studium Press LLC.
    • (2010) Molecular Plant Breeding: Principle, Method and Application , pp. 209-239
    • Balakrishnan, R.1
  • 3
    • 84972512610 scopus 로고
    • Size and shape spaces for landmark data in two dimensions (with discussion)
    • Bookstein, F. L. 1986. Size and shape spaces for landmark data in two dimensions (with discussion). Statist. Sci., 1: 181-242.
    • (1986) Statist. Sci. , vol.1 , pp. 181-242
    • Bookstein, F.L.1
  • 5
    • 84865813791 scopus 로고    scopus 로고
    • Statistical inference for functions of the covariance matrix in the stationary Gaussian time-orthogonal principal components model
    • Dryden, I. L., Kume, A., Le, H. L. and Wood, A. T.A. 2010. Statistical inference for functions of the covariance matrix in the stationary Gaussian time-orthogonal principal components model. Ann. Inst. Stat. Math., 62: 967-994.
    • (2010) Ann. Inst. Stat. Math. , vol.62 , pp. 967-994
    • Dryden, I.L.1    Kume, A.2    Le, H.L.3    Wood, A.T.A.4
  • 10
    • 4043092663 scopus 로고    scopus 로고
    • Principal geodesic analysis for the study of nonlinear statistics of shape
    • Fletcher, P. T., Lu, C. P. and Joshi, S. C. 2004. Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Trans. Med. Imaging, 23: 995-1005.
    • (2004) IEEE Trans. Med. Imaging , vol.23 , pp. 995-1005
    • Fletcher, P.T.1    Lu, C.P.2    Joshi, S.C.3
  • 12
    • 0034993099 scopus 로고    scopus 로고
    • Principal components analysis of protein structure ensembles calculated using NMR data
    • Howe, P. W.A. 2001. Principal components analysis of protein structure ensembles calculated using NMR data. J. Biomol. NMR, 20: 61-70.
    • (2001) J. Biomol. NMR , vol.20 , pp. 61-70
    • Howe, P.W.A.1
  • 13
    • 58749114740 scopus 로고    scopus 로고
    • Principal component geodesics for planar shape spaces
    • Huckemann, S. and Hotz, T. 2009. Principal component geodesics for planar shape spaces. J. Multivariate Anal., 100: 699-714.
    • (2009) J. Multivariate Anal. , vol.100 , pp. 699-714
    • Huckemann, S.1    Hotz, T.2
  • 14
    • 33745954917 scopus 로고    scopus 로고
    • Principal component analysis for Riemannian manifolds with an application to triangular shape spaces
    • Huckemann, S. and Ziezold, H. 2006. Principal component analysis for Riemannian manifolds with an application to triangular shape spaces. Adv. Appl. Probab., 38: 299-319.
    • (2006) Adv. Appl. Probab. , vol.38 , pp. 299-319
    • Huckemann, S.1    Ziezold, H.2
  • 15
    • 84980162923 scopus 로고
    • Riemannian Center of Mass and Mollifier Smoothing
    • Karcher, H. 1977. Riemannian Center of Mass and Mollifier Smoothing. Commun. Pure Appl. Math., 30: 509-541.
    • (1977) Commun. Pure Appl. Math. , vol.30 , pp. 509-541
    • Karcher, H.1
  • 16
    • 0000291561 scopus 로고
    • The diffusion of shape
    • Kendall, D. G. 1977. The diffusion of shape. Adv. Appl. Probab., 9: 428-430.
    • (1977) Adv. Appl. Probab. , vol.9 , pp. 428-430
    • Kendall, D.G.1
  • 17
    • 0002432238 scopus 로고
    • Shape manifolds, procrustean metrics and complex projective spaces
    • Kendall, D. G. 1984. Shape manifolds, procrustean metrics and complex projective spaces. Bull. London Math. Soc., 16: 81-121.
    • (1984) Bull. London Math. Soc. , vol.16 , pp. 81-121
    • Kendall, D.G.1
  • 19
    • 0035360021 scopus 로고    scopus 로고
    • Locating Frechet means with application to shape spaces
    • Le, H. 2001. Locating Frechet means with application to shape spaces. Adv. Appl. Probab., 33: 324-338.
    • (2001) Adv. Appl. Probab. , vol.33 , pp. 324-338
    • Le, H.1
  • 20
    • 17444401469 scopus 로고    scopus 로고
    • Modelling shape distributions and inferences for assessing difference in shapes
    • Micheas, A. C. and Dey, D. K. 2005. Modelling shape distributions and inferences for assessing difference in shapes. J. Multivariate Anal., 92: 257-280.
    • (2005) J. Multivariate Anal. , vol.92 , pp. 257-280
    • Micheas, A.C.1    Dey, D.K.2
  • 23
    • 33745584220 scopus 로고    scopus 로고
    • Structural bioinformatics revisited
    • In: Aykroyd R. G., Mardia K. V., Langdon M. J., editors, LASR2003, Leeds: University of Leeds
    • Mardia, K. V., Taylor, C. C. and D. Westhead, R. Structural bioinformatics revisited. Proceedings of Stochastic Geometry, Biological Structure and Image, LASR2003,. Edited by: Aykroyd, R. G., Mardia, K. V. and Langdon, M. J. pp.11-18. Leeds: University of Leeds.
    • Proceedings of Stochastic Geometry, Biological Structure and Image , pp. 11-18
    • Mardia, K.V.1    Taylor, C.C.2    Westhead, D.R.3
  • 24
    • 33749642835 scopus 로고    scopus 로고
    • Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
    • Pennec, X. 2006. Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements. J. Math. Imaging Vision, 25: 127-154.
    • (2006) J. Math. Imaging Vision , vol.25 , pp. 127-154
    • Pennec, X.1
  • 27
    • 84865805984 scopus 로고    scopus 로고
    • Manifold valued statistics, exact principal geodesic analysis and the effect of linear approximation
    • In: Daniilidis K., Maragos P., Paragios N., editors, Heidelberg: Springer Lecture Notes in Computer Science
    • Sommer, S., Lauze, F., Hauberg, S. and Nielsen, M. Manifold valued statistics, exact principal geodesic analysis and the effect of linear approximation. Eccv 2010: Proceedings of the 1th European Conference on Computer Vision. Edited by: Daniilidis, K., Maragos, P. and Paragios, N. pp.45-56. Heidelberg: Springer. Lecture Notes in Computer Science
    • Eccv 2010: Proceedings of the 1th European Conference on Computer Vision , pp. 45-56
    • Sommer, S.1    Lauze, F.2    Hauberg, S.3    Nielsen, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.