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Volumn 24, Issue 2, 2015, Pages 539-560

Analysis of Rotational Deformations From Directional Data

Author keywords

Axis of rotation; Directional statistics; Skeletal model; Small circle; Three dimensional object

Indexed keywords


EID: 84931034312     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.2014.914947     Document Type: Article
Times cited : (17)

References (52)
  • 3
    • 0001583228 scopus 로고
    • Spherical Regression
    • T.Chang, (1986), “Spherical Regression,” The Annals of Statistics, 14, 907–924.
    • (1986) The Annals of Statistics , vol.14 , pp. 907-924
    • Chang, T.1
  • 4
    • 84950449502 scopus 로고
    • Estimating the Relative Rotation of Two Tectonic Plates From Boundary Crossings
    • T.Chang, (1988), “Estimating the Relative Rotation of Two Tectonic Plates From Boundary Crossings,” Journal of the American Statistical Association, 83, 1178–1183.
    • (1988) Journal of the American Statistical Association , vol.83 , pp. 1178-1183
    • Chang, T.1
  • 5
    • 0011152889 scopus 로고
    • Spherical Regression With Errors in Variables
    • T.Chang, (1989), “Spherical Regression With Errors in Variables,” The Annals of Statistics, 17, 293–306.
    • (1989) The Annals of Statistics , vol.17 , pp. 293-306
    • Chang, T.1
  • 6
    • 0035539857 scopus 로고    scopus 로고
    • M-Estimation for Location and Regression Parameters in Group Models: A Case Study Using Stiefel Manifolds
    • T.Chang,, and L.-P.Rivest, (2001), “M-Estimation for Location and Regression Parameters in Group Models: A Case Study Using Stiefel Manifolds,” The Annals of Statistics, 29, 784–814.
    • (2001) The Annals of Statistics , vol.29 , pp. 784-814
    • Chang, T.1    Rivest, L.-P.2
  • 7
    • 0040212369 scopus 로고
    • Assessing Geometric Integrity Through Spherical Regression Techniques
    • G.R.Chapman,, G.Chen,, and P.T.Kim, (1995), “Assessing Geometric Integrity Through Spherical Regression Techniques,” Statistica Sinica, 5, 173–220.
    • (1995) Statistica Sinica , vol.5 , pp. 173-220
    • Chapman, G.R.1    Chen, G.2    Kim, P.T.3
  • 12
    • 4043092663 scopus 로고    scopus 로고
    • Principal Geodesic Analysis for the Study of Nonlinear Statistics of Shape
    • P.T.Fletcher,, C.Lu,, S.M.Pizer,, and S.Joshi, (2004), “Principal Geodesic Analysis for the Study of Nonlinear Statistics of Shape,” IEEE Transactions on Medical Imaging, 23, 995–1005.
    • (2004) IEEE Transactions on Medical Imaging , vol.23 , pp. 995-1005
    • Fletcher, P.T.1    Lu, C.2    Pizer, S.M.3    Joshi, S.4
  • 13
    • 0000315591 scopus 로고
    • Les Éléments Aléatoires de Nature Quelconque dans un Espace Distancié
    • M.Fréchet, (1948), “Les Éléments Aléatoires de Nature Quelconque dans un Espace Distancié,” Annales de l’Institut Henri Poincaré, 10, 215–310.
    • (1948) Annales de l’Institut Henri Poincaré , vol.10 , pp. 215-310
    • Fréchet, M.1
  • 14
    • 0036136099 scopus 로고    scopus 로고
    • New Least Squares Solutions for Estimating the Average Centre of Rotation and the Axis of Rotation
    • S.S.Gamage,, and J.Lasenby, (2002), “New Least Squares Solutions for Estimating the Average Centre of Rotation and the Axis of Rotation,” Journal of Biomechanics, 35, 87–93.
    • (2002) Journal of Biomechanics , vol.35 , pp. 87-93
    • Gamage, S.S.1    Lasenby, J.2
  • 15
    • 0000142472 scopus 로고
    • Procrustes Methods in the Statistical Analysis of Shape” (with discussion)
    • C.R.Goodall, (1991), “Procrustes Methods in the Statistical Analysis of Shape” (with discussion), Journal of the Royal Statistical Society, Series B, 53, 285–339.
    • (1991) Journal of the Royal Statistical Society, Series B , vol.53 , pp. 285-339
    • Goodall, C.R.1
  • 16
    • 0004337740 scopus 로고
    • Olinde Rodrigues’ Paper of 1840 on Transformation Groups
    • J.J.Gray, (1980), “Olinde Rodrigues’ Paper of 1840 on Transformation Groups,” Archive for History of Exact Sciences, 21, 375–385.
    • (1980) Archive for History of Exact Sciences , vol.21 , pp. 375-385
    • Gray, J.J.1
  • 17
    • 0020759032 scopus 로고
    • A Joint Coordinate System for the Clinical Description of Three-Dimensional Motions: Application to the Knee
    • E.Grood,, and W.Suntay, (1983), “A Joint Coordinate System for the Clinical Description of Three-Dimensional Motions: Application to the Knee,” Journal of Biomechanical Engineering, 105, 136–144.
    • (1983) Journal of Biomechanical Engineering , vol.105 , pp. 136-144
    • Grood, E.1    Suntay, W.2
  • 18
    • 0032832184 scopus 로고    scopus 로고
    • A New Method for Estimating the Axis of Rotation and the Center of Rotation
    • K.Halvorsen,, M.Lesser,, and A.Lundberg, (1999), “A New Method for Estimating the Axis of Rotation and the Center of Rotation,” Journal of Biomechanics, 32, 1221–1227.
    • (1999) Journal of Biomechanics , vol.32 , pp. 1221-1227
    • Halvorsen, K.1    Lesser, M.2    Lundberg, A.3
  • 19
  • 20
    • 80051862101 scopus 로고    scopus 로고
    • Inference on 3D Procrusted Means: Tree Bole Growth, Rank Deficient Diffusion Tensors and Perturbation Models
    • S.Huckemann, (2011a), “Inference on 3D Procrusted Means: Tree Bole Growth, Rank Deficient Diffusion Tensors and Perturbation Models,” Scandinavian Journal of Statistics, 38, 424–446.
    • (2011) Scandinavian Journal of Statistics , vol.38 , pp. 424-446
    • Huckemann, S.1
  • 21
    • 84859844298 scopus 로고    scopus 로고
    • Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree Discrimination by Leaf Growth
    • S.Huckemann, (2011b), “Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree Discrimination by Leaf Growth,” The Annals of Statistics, 39, 1098–1124.
    • (2011) The Annals of Statistics , vol.39 , pp. 1098-1124
    • Huckemann, S.1
  • 22
    • 84870253371 scopus 로고    scopus 로고
    • On the Meaning of Mean Shape: Manifold Stability, Locus and the Two Sample Test
    • S.Huckemann, (2012), “On the Meaning of Mean Shape: Manifold Stability, Locus and the Two Sample Test,” Annals of the Institute of Statistical Mathematics, 64, 1227–1259.
    • (2012) Annals of the Institute of Statistical Mathematics , vol.64 , pp. 1227-1259
    • Huckemann, S.1
  • 23
    • 77949381107 scopus 로고    scopus 로고
    • Intrinsic Shape Analysis: Geodesic PCA for Riemannian Manifolds Modulo Isometric Lie Group Actions
    • S.Huckemann,, T.Hotz,, and A.Munk, (2010), “Intrinsic Shape Analysis: Geodesic PCA for Riemannian Manifolds Modulo Isometric Lie Group Actions,” Statistica Sinica, 20, 1–58.
    • (2010) Statistica Sinica , vol.20 , pp. 1-58
    • Huckemann, S.1    Hotz, T.2    Munk, A.3
  • 24
    • 43449137276 scopus 로고    scopus 로고
    • Conditional-Mean Initialization Using Neighboring Objects in Deformable Model Segmentation
    • J.-Y.Jeong,, J.V.Stough,, J.S.Marron,, and S.M.Pizer, (2008), “Conditional-Mean Initialization Using Neighboring Objects in Deformable Model Segmentation,” in SPIE Proceedings, Vol. 24.
    • (2008) SPIE Proceedings , vol.24
    • Jeong, J.-Y.1    Stough, J.V.2    Marron, J.S.3    Pizer, S.M.4
  • 26
    • 84865489046 scopus 로고    scopus 로고
    • Analysis of Principal Nested Spheres
    • S.Jung,, I.L.Dryden,, and J.S.Marron, (2012), “Analysis of Principal Nested Spheres,” Biometrika, 99, 551–568.
    • (2012) Biometrika , vol.99 , pp. 551-568
    • Jung, S.1    Dryden, I.L.2    Marron, J.S.3
  • 27
    • 84857648647 scopus 로고    scopus 로고
    • Principal Arc Analysis on Direct Product Manifolds
    • S.Jung,, M.Foskey,, and J.S.Marron, (2011), “Principal Arc Analysis on Direct Product Manifolds,” Annals of Applied Statistics, 5, 578–603.
    • (2011) Annals of Applied Statistics , vol.5 , pp. 578-603
    • Jung, S.1    Foskey, M.2    Marron, J.S.3
  • 28
  • 30
    • 80052328274 scopus 로고    scopus 로고
    • Parameterization-Invariant Shape Statistics and Probabilistic Classification of Anatomical Surfaces
    • S.Kurtek,, Z.Ding,, E.Klassen,, and A.Srivastava, (2011), “Parameterization-Invariant Shape Statistics and Probabilistic Classification of Anatomical Surfaces,” in Information Processing in Medical Imaging (Vol. 24), pp. 147–158.
    • (2011) Information Processing in Medical Imaging , vol.24 , pp. 147-158
    • Kurtek, S.1    Ding, Z.2    Klassen, E.3    Srivastava, A.4
  • 31
    • 0032022125 scopus 로고    scopus 로고
    • On the Consistency of Procrustean Mean Shapes
    • H.Le, (1998), “On the Consistency of Procrustean Mean Shapes,” Advances in Applied Probability, 30, 53–63.
    • (1998) Advances in Applied Probability , vol.30 , pp. 53-63
    • Le, H.1
  • 32
    • 0035360021 scopus 로고    scopus 로고
    • Locating Fréchet Means With Application to Shape Spaces
    • H.Le, (2001), “Locating Fréchet Means With Application to Shape Spaces,” Advances in Applied Probability, 33, 324–338.
    • (2001) Advances in Applied Probability , vol.33 , pp. 324-338
    • Le, H.1
  • 35
    • 0037281553 scopus 로고    scopus 로고
    • Means and Averaging in the Group of Rotations
    • M.Moakher, (2002), “Means and Averaging in the Group of Rotations,” SIAM Journal on Matrix Analysis and Applications, 24, 1–16 (electronic). Available at http://dx.doi.org/10.1137/S0895479801383877.
    • (2002) SIAM Journal on Matrix Analysis and Applications , vol.24 , pp. 1-16
    • Moakher, M.1
  • 37
    • 84865460055 scopus 로고    scopus 로고
    • On the Estimation of an Average Rigid Body Motion
    • K.Oualkacha,, and L.-P.Rivest, (2012), “On the Estimation of an Average Rigid Body Motion,” Biometrika, 99, 585–598.
    • (2012) Biometrika , vol.99 , pp. 585-598
    • Oualkacha, K.1    Rivest, L.-P.2
  • 38
    • 67649993274 scopus 로고    scopus 로고
    • Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
    • X.Pennec, (2008), “Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy,” Emerging Trends in Visual Computing, 5416, 347–386.
    • (2008) Emerging Trends in Visual Computing , vol.5416 , pp. 347-386
    • Pennec, X.1
  • 39
    • 76349114702 scopus 로고    scopus 로고
    • Patients With Osteoarthritic Knees Have Shorter Orientation and Tangent Indicatrices During Gait
    • M.Pierrynowski,, P.Costigan,, M.Maly,, and P.Kim, (2010), “Patients With Osteoarthritic Knees Have Shorter Orientation and Tangent Indicatrices During Gait,” Clinical Biomechanics, 25, 237–241.
    • (2010) Clinical Biomechanics , vol.25 , pp. 237-241
    • Pierrynowski, M.1    Costigan, P.2    Maly, M.3    Kim, P.4
  • 43
    • 0001515355 scopus 로고
    • Spherical Regression for Concentrated Fisher-Von Mises Distributions
    • L.-P.Rivest, (1989), “Spherical Regression for Concentrated Fisher-Von Mises Distributions,” The Annals of Statistics, 17, 307–317.
    • (1989) The Annals of Statistics , vol.17 , pp. 307-317
    • Rivest, L.-P.1
  • 44
    • 0032366180 scopus 로고    scopus 로고
    • Some Linear Models for Estimating the Motion of Rigid Bodies With Applications to Geometric Quality Assurance
    • L.-P.Rivest, (1998), “Some Linear Models for Estimating the Motion of Rigid Bodies With Applications to Geometric Quality Assurance,” Journal of the American Statistical Association, 93, 632–642.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 632-642
    • Rivest, L.-P.1
  • 45
    • 0033263857 scopus 로고    scopus 로고
    • Some Linear Model Techniques for Analyzing Small-Circle Spherical Data
    • L.-P.Rivest, (1999), “Some Linear Model Techniques for Analyzing Small-Circle Spherical Data,” Canadian Journal of Statistics, 27, 623–638.
    • (1999) Canadian Journal of Statistics , vol.27 , pp. 623-638
    • Rivest, L.-P.1
  • 46
    • 20444490508 scopus 로고    scopus 로고
    • A Directional Model for the Statistical Analysis of Movement in Three Dimensions
    • L.-P.Rivest, (2001), “A Directional Model for the Statistical Analysis of Movement in Three Dimensions,” Biometrika, 88, 779–791.
    • (2001) Biometrika , vol.88 , pp. 779-791
    • Rivest, L.-P.1
  • 47
    • 33748300592 scopus 로고    scopus 로고
    • Regression and Correlation for 3 × 3 Rotation Matrices
    • L.-P.Rivest, (2006), “Regression and Correlation for 3 × 3 Rotation Matrices,” Canadian Journal of Statistics, 34, 1–17.
    • (2006) Canadian Journal of Statistics , vol.34 , pp. 1-17
    • Rivest, L.-P.1
  • 49
    • 42049110309 scopus 로고    scopus 로고
    • Deformation-Based Nuclear Morphometry: Capturing Nuclear Shape Variation in HeLa Cells
    • G.K.Rohde,, A.J.S.Ribeiro,, K.N.Dahl,, and R.F.Murphy, (2008), “Deformation-Based Nuclear Morphometry: Capturing Nuclear Shape Variation in HeLa Cells,” Cytometry A, 73, 341–350.
    • (2008) Cytometry A , vol.73 , pp. 341-350
    • Rohde, G.K.1    Ribeiro, A.J.S.2    Dahl, K.N.3    Murphy, R.F.4
  • 52
    • 33750367461 scopus 로고    scopus 로고
    • Estimation of the Axis of a Screw Motion from Noisy Data—A New Method Based on Plücker Lines
    • K.K.Teu,, and W.Kim, (2006), “Estimation of the Axis of a Screw Motion from Noisy Data—A New Method Based on Plücker Lines,” Journal of Biomechanics, 39, 2857–2862.
    • (2006) Journal of Biomechanics , vol.39 , pp. 2857-2862
    • Teu, K.K.1    Kim, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.