메뉴 건너뛰기




Volumn 38, Issue 3, 2011, Pages 424-446

Inference on 3D Procrustes Means: Tree Bole Growth, Rank Deficient Diffusion Tensors and Perturbation Models

Author keywords

Bootstrap confidence intervals; Central limit theorem; Forest biometry; Kendall's shape spaces; Non parametric inference; Strong consistency; Tree stem ellipticality; Ziezold means

Indexed keywords


EID: 80051862101     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2010.00724.x     Document Type: Article
Times cited : (39)

References (40)
  • 2
    • 76849086044 scopus 로고    scopus 로고
    • Statistical analysis on manifolds: a nonparametric approach for inference on shape spaces
    • Bhattacharya, A. (2008). Statistical analysis on manifolds: a nonparametric approach for inference on shape spaces. Sankhya, Ser. A. 70, 223-266.
    • (2008) Sankhya, Ser. A , vol.70 , pp. 223-266
    • Bhattacharya, A.1
  • 3
    • 21144443869 scopus 로고    scopus 로고
    • Large sample theory of intrinsic and extrinsic sample means on manifolds I
    • Bhattacharya, R. N. & Patrangenaru, V. (2003). Large sample theory of intrinsic and extrinsic sample means on manifolds I. Ann. Statist. 31, 1-29.
    • (2003) Ann. Statist. , vol.31 , pp. 1-29
    • Bhattacharya, R.N.1    Patrangenaru, V.2
  • 4
    • 23744472179 scopus 로고    scopus 로고
    • Large sample theory of intrinsic and extrinsic sample means on manifolds II
    • Bhattacharya, R. N. & Patrangenaru, V. (2005). Large sample theory of intrinsic and extrinsic sample means on manifolds II. Ann. Statist. 33, 1225-1259.
    • (2005) Ann. Statist. , vol.33 , pp. 1225-1259
    • Bhattacharya, R.N.1    Patrangenaru, V.2
  • 5
    • 33845547774 scopus 로고    scopus 로고
    • Diffeomorphic matching of diffusion tensor images. In: Computer Vision and Pattern Recognition Workshop, 2006 Conference on
    • Cao, Y., Miller, M. I., Mori, S., Winslow, R. L. & Younes, L. (2006). Diffeomorphic matching of diffusion tensor images. In: Computer Vision and Pattern Recognition Workshop, 2006 Conference on. p. 67.
    • (2006) , pp. 67
    • Cao, Y.1    Miller, M.I.2    Mori, S.3    Winslow, R.L.4    Younes, L.5
  • 6
    • 0028095671 scopus 로고
    • A simple mathematical model of growth pattern in tree stems
    • Chiba, Y. & Shinozaki, K. (1994). A simple mathematical model of growth pattern in tree stems. Ann. Bot. 73, 91-98.
    • (1994) Ann. Bot. , vol.73 , pp. 91-98
    • Chiba, Y.1    Shinozaki, K.2
  • 7
    • 77952417601 scopus 로고    scopus 로고
    • Non-euclidean statistics for covariance matrices, with applications to diffusion tensor imaging
    • Dryden, I., Koloydenko, A. & Zhou, D. (2009a). Non-euclidean statistics for covariance matrices, with applications to diffusion tensor imaging. Ann. Appl. Stat. 3, 1102-1123.
    • (2009) Ann. Appl. Stat. , vol.3 , pp. 1102-1123
    • Dryden, I.1    Koloydenko, A.2    Zhou, D.3
  • 8
    • 80051888731 scopus 로고    scopus 로고
    • Non-euclidean statistical analysis of covariance matrices and diffusion tensors. Proc. of the ISI2009.
    • Dryden, I., Koloydenko, A., Zhou, D. & Li, B. (2009b). Non-euclidean statistical analysis of covariance matrices and diffusion tensors. Proc. of the ISI2009.
    • (2009)
    • Dryden, I.1    Koloydenko, A.2    Zhou, D.3    Li, B.4
  • 9
    • 80051889606 scopus 로고    scopus 로고
    • R-package for the statistical analysis of shapes. Available on
    • Dryden, I. L. (2009). R-package for the statistical analysis of shapes. Available on .
    • (2009)
    • Dryden, I.L.1
  • 11
    • 35048879816 scopus 로고    scopus 로고
    • Principal geodesic analysis on symmetric spaces: statistics of diffusion tensors. ECCV Workshops CVAMIA and MMBIA
    • Fletcher, P. T. & Joshi, S. C. (2004). Principal geodesic analysis on symmetric spaces: statistics of diffusion tensors. ECCV Workshops CVAMIA and MMBIA, 87-98.
    • (2004) , pp. 87-98
    • Fletcher, P.T.1    Joshi, S.C.2
  • 12
    • 80051869791 scopus 로고    scopus 로고
    • Computer Vision and Pattern Recognition, 2008. CVPR 2008. IEEE Conference on Issue Date: 23-28 June 2008 on pages(s): Anchorage, AK.
    • Fletcher, P. T., Venkatausbramanian, S. & Joshi, S. C. (2008). Computer Vision and Pattern Recognition, 2008. CVPR 2008. IEEE Conference on Issue Date: 23-28 June 2008 on pages(s): 1-8. Anchorage, AK.
    • (2008) , pp. 1-8
    • Fletcher, P.T.1    Venkatausbramanian, S.2    Joshi, S.C.3
  • 13
    • 0000315591 scopus 로고
    • Les éléments aléatoires de nature quelconque dans un espace distancié
    • Fréchet, M. (1948). Les éléments aléatoires de nature quelconque dans un espace distancié. Ann. Inst. H. Poincaré 10, 215-310.
    • (1948) Ann. Inst. H. Poincaré , vol.10 , pp. 215-310
    • Fréchet, M.1
  • 14
    • 0035381869 scopus 로고    scopus 로고
    • Tree mechanics, hydraulics and needle-mass distribution as a possible basis for explaining the dynamics of stem morphology
    • Gaffrey, D. & Sloboda, B. (2001). Tree mechanics, hydraulics and needle-mass distribution as a possible basis for explaining the dynamics of stem morphology. J. For. Sci. 47, 241-254.
    • (2001) J. For. Sci. , vol.47 , pp. 241-254
    • Gaffrey, D.1    Sloboda, B.2
  • 15
    • 2642556390 scopus 로고    scopus 로고
    • Modifying the elastomechanics of the stem and the crown needle mass distribution to affect the diameter increment distribution: A field experiment on 20-year old abies grandis trees
    • Gaffrey, D. & Sloboda, B. (2004). Modifying the elastomechanics of the stem and the crown needle mass distribution to affect the diameter increment distribution: A field experiment on 20-year old abies grandis trees. J. For. Sci. 50, 199-210.
    • (2004) J. For. Sci. , vol.50 , pp. 199-210
    • Gaffrey, D.1    Sloboda, B.2
  • 16
    • 11144350062 scopus 로고    scopus 로고
    • Representation of tree stem taper curves and their dynamic, using a linear model and the centroaffine transformation
    • Gaffrey, D., Sloboda, B. & Matsumura, N. (1998). Representation of tree stem taper curves and their dynamic, using a linear model and the centroaffine transformation. J. For. Res. 3, 67-74.
    • (1998) J. For. Res. , vol.3 , pp. 67-74
    • Gaffrey, D.1    Sloboda, B.2    Matsumura, N.3
  • 17
    • 0000142472 scopus 로고
    • Procrustes methods in the statistical analysis of shape (with discussion)
    • Goodall, C. R. (1991). Procrustes methods in the statistical analysis of shape (with discussion). J. Roy. Statist. Soc. Ser. B, 53, 285-339.
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 285-339
    • Goodall, C.R.1
  • 18
    • 0001886818 scopus 로고
    • Generalized Procrustes analysis
    • Gower, J. C. (1975). Generalized Procrustes analysis. Psychometrika 40, 33-51.
    • (1975) Psychometrika , vol.40 , pp. 33-51
    • Gower, J.C.1
  • 20
    • 80051894187 scopus 로고    scopus 로고
    • On the meaning of mean shape. Preprint, arXiv, 1002.0795v1 [stat.ME].
    • Huckemann, S. (2010). On the meaning of mean shape. Preprint, arXiv, 1002.0795v1 [stat.ME].
    • (2010)
    • Huckemann, S.1
  • 21
    • 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. (2010). Intrinsic shape analysis: Geodesic principal component analysis for Riemannian manifolds modulo Lie group actions (with discussion). Statist. Sinica 20, 1-100.
    • (2010) Statist. Sinica , vol.20 , pp. 1-100
    • Huckemann, S.1    Hotz, T.2    Munk, A.3
  • 22
    • 0000291561 scopus 로고
    • The diffusion of shape
    • Kendall, D. G. (1977). The diffusion of shape. Adv. Appl. Prob. 9, 428-430.
    • (1977) Adv. Appl. Prob. , vol.9 , pp. 428-430
    • Kendall, D.G.1
  • 23
    • 0002432238 scopus 로고
    • Shape manifolds, Procrustean metrics and complex projective spaces
    • Kendall, D. G. (1984). Shape manifolds, Procrustean metrics and complex projective spaces. Bull. Lond. Math. Soc. 16, 81-121.
    • (1984) Bull. Lond. Math. Soc. , vol.16 , pp. 81-121
    • Kendall, D.G.1
  • 26
    • 33744522409 scopus 로고    scopus 로고
    • Evaluation of the section modulus for tree-stem cross sections of irregular shape
    • Koizumi, A. & Hirai, T. (2006). Evaluation of the section modulus for tree-stem cross sections of irregular shape. J. Wood Sci. 52, 213-219.
    • (2006) J. Wood Sci. , vol.52 , pp. 213-219
    • Koizumi, A.1    Hirai, T.2
  • 27
    • 2342520730 scopus 로고    scopus 로고
    • Point distribution form model for spruce stems (picea abies [l.] karst.)
    • Krepela, M. (2002). Point distribution form model for spruce stems (picea abies [l.] karst.). J. For. Sci. 48, 150-155.
    • (2002) J. For. Sci. , vol.48 , pp. 150-155
    • Krepela, M.1
  • 29
    • 0032022125 scopus 로고    scopus 로고
    • On the consistency of Procrustean mean shapes
    • Le, H. (1998). On the consistency of Procrustean mean shapes. Adv. Appl. Prob. (SGSA) 30, 53-63.
    • (1998) Adv. Appl. Prob. (SGSA) , vol.30 , pp. 53-63
    • Le, H.1
  • 30
    • 0035360021 scopus 로고    scopus 로고
    • Locating Fréchet means with an application to shape spaces
    • Le, H. (2001). Locating Fréchet means with an application to shape spaces. Adv. Appl. Prob. (SGSA) 33, 324-338.
    • (2001) Adv. Appl. Prob. (SGSA) , vol.33 , pp. 324-338
    • Le, H.1
  • 31
    • 0027427057 scopus 로고
    • Euclidean distance matrix analysis (EDMA): estimation of mean form and mean form difference
    • Lele, S. (1993). Euclidean distance matrix analysis (EDMA): estimation of mean form and mean form difference. Math. Geol. 25, 573-602.
    • (1993) Math. Geol. , vol.25 , pp. 573-602
    • Lele, S.1
  • 32
    • 77952409064 scopus 로고    scopus 로고
    • Comparison of model forms for estimating stem taper and volume in the primary conifer species of the north american acadian region
    • Li, R. & Weiskittel, A. R. (2010). Comparison of model forms for estimating stem taper and volume in the primary conifer species of the north american acadian region. Ann. For. Sci. 67, 302.
    • (2010) Ann. For. Sci. , vol.67 , pp. 302
    • Li, R.1    Weiskittel, A.R.2
  • 34
    • 0041702764 scopus 로고    scopus 로고
    • Parametric and non-parametric statistical analysis of DT-MRI
    • Pajevic, S. & Basser, P. J. (2003). Parametric and non-parametric statistical analysis of DT-MRI. J. Magn. Reson. 161, 1-14.
    • (2003) J. Magn. Reson , vol.161 , pp. 1-14
    • Pajevic, S.1    Basser, P.J.2
  • 35
    • 34547431083 scopus 로고    scopus 로고
    • Impact of elliptical shaped red oak logs on lumber grade and volume recovery
    • Rappold, P. M., Bond, B. H., Wiedenbeck, J. K. & Etame, R. E. (2007). Impact of elliptical shaped red oak logs on lumber grade and volume recovery. For. Prod. J. 57, 70-73.
    • (2007) For. Prod. J. , vol.57 , pp. 70-73
    • Rappold, P.M.1    Bond, B.H.2    Wiedenbeck, J.K.3    Etame, R.E.4
  • 36
    • 38149009743 scopus 로고    scopus 로고
    • Intrinsic mean for semi-metrical shape retrieval via graph cuts
    • eds F. A. Hamprecht, C. Schnörrr, B. Jähne) Springer, Berlin Heidelberg.
    • Schmidt, F. R., Töppe, E., Cremers, D. & Boykov, Y. (2007). Intrinsic mean for semi-metrical shape retrieval via graph cuts. In DAGM-Symposium, Vol. 4713 of Lecture Notes in Computer Science, (eds F. A. Hamprecht, C. Schnörr r, B. Jähne ), pp. 446-455. Springer, Berlin Heidelberg.
    • (2007) DAGM-Symposium, Vol. 4713 of Lecture Notes in Computer Science , pp. 446-455
    • Schmidt, F.R.1    Töppe, E.2    Cremers, D.3    Boykov, Y.4
  • 37
    • 0000802367 scopus 로고    scopus 로고
    • Cross-sectional shape models of Scots Pine (Pinus silvestris) and Norway Spruce (Picea abies)
    • Skatter, S. & Hoibo, O. A. (1998). Cross-sectional shape models of Scots Pine (Pinus silvestris) and Norway Spruce (Picea abies). Holz als Roh-und Werkst. 56, 187-191.
    • (1998) Holz als Roh-und Werkst. , vol.56 , pp. 187-191
    • Skatter, S.1    Hoibo, O.A.2
  • 38
    • 84866320891 scopus 로고    scopus 로고
    • An introduction to visualization of diffusion tensor imaging and its applications
    • (eds Weickert J. & Hagen, H.) -, Springer-Verlag Berlin Heidelberg, New York, USA.
    • Vilanova, A., Zhang, S., Kindlmann, G. & Laidlaw, D. (2006). An introduction to visualization of diffusion tensor imaging and its applications. In Visualization and Processing of Tensor Fields (eds Weickert J. & Hagen, H.), pp. 121-153, Springer-Verlag Berlin Heidelberg, New York, USA.
    • (2006) Visualization and Processing of Tensor Fields , pp. 121-153
    • Vilanova, A.1    Zhang, S.2    Kindlmann, G.3    Laidlaw, D.4
  • 39
    • 0001913628 scopus 로고
    • Expected figures and a strong law of large numbers for random elements in quasi-metric spaces. Trans. 7th Prague Conf. Inf. Theory, Stat. Dec. Func., Random Processes A
    • Ziezold, H. (1977). Expected figures and a strong law of large numbers for random elements in quasi-metric spaces. Trans. 7th Prague Conf. Inf. Theory, Stat. Dec. Func., Random Processes A, pp. 591-602.
    • (1977) , pp. 591-602
    • Ziezold, H.1
  • 40
    • 84985656305 scopus 로고
    • Mean figures and mean shapes applied to biological figure and shape distributions in the plane
    • Ziezold, H. (1994). Mean figures and mean shapes applied to biological figure and shape distributions in the plane. Biom. J. 36, 491-510.
    • (1994) Biom. J. , vol.36 , pp. 491-510
    • Ziezold, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.