메뉴 건너뛰기




Volumn 97, Issue 459, 2002, Pages 796-806

Invariance, identifiability, and morphometrics

Author keywords

Maximal invariants; Nuisance parameters; Shape analysis

Indexed keywords


EID: 0036746461     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214502388618609     Document Type: Article
Times cited : (23)

References (54)
  • 1
    • 0010741586 scopus 로고
    • On estimating the scale and noncentrality matrices of a wishart distribution
    • Alam, K., and Mitra, A.(1990), "On Estimating the Scale and Noncentrality Matrices of a Wishart Distribution," Sankhya, Ser. B, 52, 133-143.
    • (1990) Sankhya, Ser. B , vol.52 , pp. 133-143
    • Alam, K.1    Mitra, A.2
  • 3
    • 0025825184 scopus 로고
    • A model for development and evolution of complex morphological structures
    • Atchley, W.R., and Hall, B.K. (1991), "A Model for Development and Evolution of Complex Morphological Structures," Biological Reviews, 66, 101-157.
    • (1991) Biological Reviews , vol.66 , pp. 101-157
    • Atchley, W.R.1    Hall, B.K.2
  • 4
    • 84972512610 scopus 로고
    • Size and shape spaces for landmark data in two dimensions
    • with discussion
    • Bookstein, F. (1986), "Size and Shape Spaces for Landmark Data in Two Dimensions," (with discussion), Statistical Science, 1, 181-242.
    • (1986) Statistical Science , vol.1 , pp. 181-242
    • Bookstein, F.1
  • 5
    • 79957563017 scopus 로고
    • Principal warps: Thin plate splines and the decomposition of deformations
    • _ (1989), "Principal Warps: Thin Plate Splines and the Decomposition of Deformations," IEEE Transactions in Pattern Analysis and Machine Intelligence, 11, 567-585.
    • (1989) IEEE Transactions in Pattern Analysis and Machine Intelligence , vol.11 , pp. 567-585
  • 7
    • 0030095282 scopus 로고    scopus 로고
    • Biometrics, biomathematics and the morphometric synthesis
    • _ (1996), "Biometrics, Biomathematics and the Morphometric Synthesis," Bulletin of Mathematical Biology, 58, 313-365.
    • (1996) Bulletin of Mathematical Biology , vol.58 , pp. 313-365
  • 10
    • 0030255792 scopus 로고    scopus 로고
    • Historical note: Early anthropological contributions to geometric morphometrics
    • Cole, T.C. (1996), "Historical Note: Early Anthropological Contributions to Geometric Morphometrics," American Journal of Physical Anthropology, 101, 291-296.
    • (1996) American Journal of Physical Anthropology , vol.101 , pp. 291-296
    • Cole, T.C.1
  • 14
    • 0003375079 scopus 로고
    • Size and shape analysis of landmark data
    • _ (1992), "Size and Shape Analysis of Landmark Data," Biometrika, 79, 57-68.
    • (1992) Biometrika , vol.79 , pp. 57-68
  • 16
    • 0029075907 scopus 로고
    • The interaction of craniofacial dysmorphology, growth and the prediction of surgical outcome
    • Dufresne, C., and Richtsmeier, J.T. (1995), "The Interaction of Craniofacial Dysmorphology, Growth and the Prediction of Surgical Outcome," Journal of Craniofacial Surgery, 4, 234-244.
    • (1995) Journal of Craniofacial Surgery , vol.4 , pp. 234-244
    • Dufresne, C.1    Richtsmeier, J.T.2
  • 17
    • 0006291136 scopus 로고
    • Noncentral distributions of quadratic forms for elliptically contoured distributions
    • eds. K.-T. Fang and T.W. Anderson, New York: Allerton Press
    • Fan, J. (1990), "Noncentral Distributions of Quadratic Forms for Elliptically Contoured Distributions," in Statistical Inference in Elliptically Contoured and Related Distributions, eds. K.-T. Fang and T.W. Anderson, New York: Allerton Press, pp. 177-191.
    • (1990) Statistical Inference in Elliptically Contoured and Related Distributions , pp. 177-191
    • Fan, J.1
  • 19
    • 0010706146 scopus 로고
    • Data transformations and the linear model
    • Fraser, D.A.S. (1967), "Data Transformations and the Linear Model," Annals of Mathematical Statistics, 38, 1456-1465.
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 1456-1465
    • Fraser, D.A.S.1
  • 20
    • 0029982530 scopus 로고    scopus 로고
    • The structural alignment between two proteins: Is there a unique answer?
    • Godzik, A. (1996), "The Structural Alignment Between Two Proteins: Is There a Unique Answer?" Protein Science, 5, 1325-1338.
    • (1996) Protein Science , vol.5 , pp. 1325-1338
    • Godzik, A.1
  • 21
  • 23
    • 0002059674 scopus 로고
    • Quantitative analysis of surface growth
    • Goodall, C.R., and Green, P.B. (1986), "Quantitative Analysis of Surface Growth," Botanical Gazette, 147, 1-15.
    • (1986) Botanical Gazette , vol.147 , pp. 1-15
    • Goodall, C.R.1    Green, P.B.2
  • 27
    • 84972538798 scopus 로고
    • The statistical theory of shape
    • with discussion
    • Kendall, D.G. (1989), "The Statistical Theory of Shape" (with discussion), Statistical Science, 4, 87-120.
    • (1989) Statistical Science , vol.4 , pp. 87-120
    • Kendall, D.G.1
  • 30
    • 0026352899 scopus 로고
    • Some comments on coordinate free and scale invariant methods in morphonretrics
    • Lele, S. (1991), "Some Comments on Coordinate Free and Scale Invariant Methods in Morphonretrics," American Journal of Physical Anthropology, 85, 407-418.
    • (1991) American Journal of Physical Anthropology , vol.85 , pp. 407-418
    • Lele, S.1
  • 31
    • 0027427057 scopus 로고
    • Euclidean distance matrix analysis (EDMA): Estimation of mean form and mean form difference
    • _ (1993), "Euclidean Distance Matrix Analysis (EDMA): Estimation of Mean Form and Mean Form Difference," Mathematical Geology, 25, 573-602.
    • (1993) Mathematical Geology , vol.25 , pp. 573-602
  • 32
    • 0030512838 scopus 로고    scopus 로고
    • A new test for shape difference when variance-covariance matrices are unequal
    • Lele, S., and Cole, T.M. (1996), "A New Test for Shape Difference When Variance-Covariance Matrices are Unequal," Journal of Human Evolution, 31, 193-212.
    • (1996) Journal of Human Evolution , vol.31 , pp. 193-212
    • Lele, S.1    Cole, T.M.2
  • 33
    • 0026050115 scopus 로고
    • Euclidean distance matrix analysis: A coordinate free approach for comparing biological shapes
    • Lele, S., and Richtsmeier, J.T. (1991), "Euclidean Distance Matrix Analysis: A Coordinate Free Approach for Comparing Biological Shapes," American Journal of Physical Anthropology, 86, 415-427.
    • (1991) American Journal of Physical Anthropology , vol.86 , pp. 415-427
    • Lele, S.1    Richtsmeier, J.T.2
  • 34
    • 0026583988 scopus 로고
    • On comparing biological shapes: Detection of influential landmarks
    • _ (1992), "On Comparing Biological Shapes: Detection of Influential Landmarks," American Journal of Physical Anthropology, 87, 49-65.
    • (1992) American Journal of Physical Anthropology , vol.87 , pp. 49-65
  • 35
    • 0029091295 scopus 로고
    • Euclidean distance matrix analysis: Confidence intervals for form and growth differences
    • _ (1995), "Euclidean Distance Matrix Analysis: Confidence Intervals for Form and Growth Differences" American Journal of Physical Anthropology, 98, 73-86.
    • (1995) American Journal of Physical Anthropology , vol.98 , pp. 73-86
  • 37
    • 84972492656 scopus 로고
    • Inference based on estimating functions in the presence of nuisance parameters
    • with discussion
    • Liang, K.Y. and Zeger, S.L. (1995), "Inference Based on Estimating Functions in the Presence of Nuisance Parameters" (with discussion), Statistical Science, 10, 158-173.
    • (1995) Statistical Science , vol.10 , pp. 158-173
    • Liang, K.Y.1    Zeger, S.L.2
  • 38
    • 84950615442 scopus 로고
    • Size allometry: Size and shape variables with characterizations of the lognormal and generalized gamma distributions
    • Mosimann, J.E. (1970), "Size Allometry: Size and Shape Variables With Characterizations of the Lognormal and Generalized Gamma Distributions," Journal of American Statistical Association, 63, 930-978.
    • (1970) Journal of American Statistical Association , vol.63 , pp. 930-978
    • Mosimann, J.E.1
  • 39
    • 0001831031 scopus 로고
    • Consistent estimates based on partially consistent observations
    • Neyman, J., and Scott, E.J. (1948), "Consistent Estimates Based on Partially Consistent Observations," Econometrika, 16, 1-32.
    • (1948) Econometrika , vol.16 , pp. 1-32
    • Neyman, J.1    Scott, E.J.2
  • 40
  • 41
    • 84972517956 scopus 로고
    • The roles of conditioning in inference
    • Reid, N. (1995), "The Roles of Conditioning in Inference," Statistical Science, 10, 138-157.
    • (1995) Statistical Science , vol.10 , pp. 138-157
    • Reid, N.1
  • 42
    • 0023510307 scopus 로고
    • Comparative study of normal, crouzon and apert craniofacial morphology using finite element scaling analysis
    • Richtsmeier, J. T. (1987), "Comparative Study of Normal, Crouzon and Apert Craniofacial Morphology Using Finite Element Scaling Analysis," American Journal of Physical Anthropology, 74, 473-493.
    • (1987) American Journal of Physical Anthropology , vol.74 , pp. 473-493
    • Richtsmeier, J.T.1
  • 43
    • 0010705954 scopus 로고
    • Beyond morphing: Visualization to predict a child's skull growth
    • _ (1993), "Beyond Morphing: Visualization to Predict a Child's Skull Growth," Advance Imaging, 8(7), 24-27.
    • (1993) Advance Imaging , vol.8 , Issue.7 , pp. 24-27
  • 44
    • 0027293063 scopus 로고
    • A coordinate free approach to the analysis of growth patterns: Models and theoretical considerations
    • Richtsmeier, J.T., and Lele, S. (1993), "A Coordinate Free Approach to the Analysis of Growth Patterns: Models and Theoretical Considerations," Biol. Rev., 68, 381-411.
    • (1993) Biol. Rev. , vol.68 , pp. 381-411
    • Richtsmeier, J.T.1    Lele, S.2
  • 45
    • 0029000970 scopus 로고
    • Precision, repeatability and validation of the localization of cranial landmarks using computed tomography scans
    • Richtsmeier, J.T., Paik, C.H., Elfert, P C., Cole, T.M., and Dahlman, H.R. (1995), "Precision, Repeatability and Validation of the Localization of Cranial Landmarks Using Computed Tomography Scans," Cleft Palate-Craniofacial Journal, 32, 217-227.
    • (1995) Cleft Palate-Craniofacial Journal , vol.32 , pp. 217-227
    • Richtsmeier, J.T.1    Paik, C.H.2    Elfert, P.C.3    Cole, T.M.4    Dahlman, H.R.5
  • 46
    • 0002416668 scopus 로고    scopus 로고
    • Morphometric spaces, shape components and the effects of linear transformations
    • Advances in Morphometrics, eds., L.F. Marcus, M. Corti, A. Loy, G. Naylor, and D.E. Slice. Advanced Studies Institute on Morphometrics in II Ciocco, Italy, New York: Plenum
    • Rohlf, F.J. (1996), "Morphometric Spaces, Shape Components and the Effects of Linear Transformations," in Advances in Morphometrics, eds., L.F. Marcus, M. Corti, A. Loy, G. Naylor, and D.E. Slice. Proceedings of the 1993 NATO Advanced Studies Institute on Morphometrics in II Ciocco, Italy, New York: Plenum, pp. 117-129.
    • (1996) Proceedings of the 1993 NATO , pp. 117-129
    • Rohlf, F.J.1
  • 47
    • 84860428591 scopus 로고
    • Extensions of the procrustes method for the optimal superimposition of landmarks
    • Rohlf, F.J., and, Slice, D. (1990), "Extensions of the Procrustes Method for the Optimal Superimposition of Landmarks," Systematic Zoology, 39, 40-59.
    • (1990) Systematic Zoology , vol.39 , pp. 40-59
    • Rohlf, F.J.1    Slice, D.2
  • 48
    • 0001864866 scopus 로고
    • The biological basis of homology
    • ed. C.J. Humphries, New York: Columbia University Press
    • Roth, V.L. (1988), "The Biological Basis of Homology," in Ontogeny and Systematics, ed. C.J. Humphries, New York: Columbia University Press, pp. 1-26.
    • (1988) Ontogeny and Systematics , pp. 1-26
    • Roth, V.L.1
  • 49
    • 0020336322 scopus 로고
    • A robust comparison of biological shapes
    • Siegel, A.F., and Benson, R.H. (1982), "A Robust Comparison of Biological Shapes," Biometrics, 38, 341-350.
    • (1982) Biometrics , vol.38 , pp. 341-350
    • Siegel, A.F.1    Benson, R.H.2
  • 51
    • 84981986782 scopus 로고
    • Estimation of distances and variances in bookstein's landmark model
    • Stoyan, D. (1990), "Estimation of Distances and Variances in Bookstein's Landmark Model," Biometrics Journal, 32, 843-849.
    • (1990) Biometrics Journal , vol.32 , pp. 843-849
    • Stoyan, D.1
  • 52
    • 0003720769 scopus 로고
    • Cambridge, U.K., Cambridge University Press
    • Thompson, D.W. (1917), On Growth and Form, Cambridge, U.K., Cambridge University Press.
    • (1917) On Growth and Form
    • Thompson, D.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.