-
2
-
-
84860719698
-
A Procedure to Refine Joint Kinematic Assessments: Functional Alignment
-
K.A.Ball,, and T.M.Greiner, (2012), “A Procedure to Refine Joint Kinematic Assessments: Functional Alignment,” Computer Methods in Biomechanics and Biomedical Engineering, 15, 487–500.
-
(2012)
Computer Methods in Biomechanics and Biomedical Engineering
, vol.15
, pp. 487-500
-
-
Ball, K.A.1
Greiner, T.M.2
-
3
-
-
0001583228
-
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
-
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
-
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
-
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
-
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
-
8
-
-
0002702986
-
Training Models of Shape From Sets of Examples
-
Hogg D., Boyle R., (eds), Berlin: Springer-Verlag
-
T.F.Cootes,, C.Taylor,, D.Cooper,, and J.Graham, (1992), “Training Models of Shape From Sets of Examples,” in Proceedings of British Machine Vision Conference, eds. D.Hogg and R.Boyle, Berlin: Springer-Verlag, pp. 9–18.
-
(1992)
Proceedings of British Machine Vision Conference
, pp. 9-18
-
-
Cootes, T.F.1
Taylor, C.2
Cooper, D.3
Graham, J.4
-
10
-
-
85040956613
-
-
Cambridge: Cambridge University Press
-
N.I.Fisher,, T.Lewis,, and B.J.J.Embleton, (1993), Statistical Analysis of Spherical Data, Cambridge: Cambridge University Press.
-
(1993)
Statistical Analysis of Spherical Data
-
-
Fisher, N.I.1
Lewis, T.2
Embleton, B.J.J.3
-
11
-
-
0041438457
-
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
-
P.Fletcher,, C.Lu,, and S.Joshi, (2003), “Statistics of Shape via Principal Geodesic Analysis on Lie Groups,” in Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003, (Vol. 1), pp. I–95–I–101.
-
(2003)
Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003
, vol.1
-
-
Fletcher, P.1
Lu, C.2
Joshi, S.3
-
12
-
-
4043092663
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
0042494542
-
Fitting Smooth Histories to Rotation Data
-
M.S.Hanna,, and T.Chang, (2000), “Fitting Smooth Histories to Rotation Data,” Journal of Multivariate Analysis, 75, 47–61.
-
(2000)
Journal of Multivariate Analysis
, vol.75
, pp. 47-61
-
-
Hanna, M.S.1
Chang, T.2
-
20
-
-
80051862101
-
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
-
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
-
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
-
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
-
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
-
25
-
-
0036557914
-
Multiscale Deformable Model Segmentation and Statistical Shape Analysis Using Medial Descriptions
-
S.Joshi,, S.M.Pizer,, P.Fletcher,, P.Yushkevich,, A.Thall,, and J.S.Marron, (2002), “Multiscale Deformable Model Segmentation and Statistical Shape Analysis Using Medial Descriptions,” IEEE Transactions on Medical Imaging, 21, 538–550.
-
(2002)
IEEE Transactions on Medical Imaging
, vol.21
, pp. 538-550
-
-
Joshi, S.1
Pizer, S.M.2
Fletcher, P.3
Yushkevich, P.4
Thall, A.5
Marron, J.S.6
-
26
-
-
84865489046
-
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
-
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
-
29
-
-
0001012387
-
Consistency of Procrustes Estimators
-
J.T.Kent,, and K.V.Mardia, (1997), “Consistency of Procrustes Estimators,” Journal of the Royal Statistical Society, Series B, 59, 281–290.
-
(1997)
Journal of the Royal Statistical Society, Series B
, vol.59
, pp. 281-290
-
-
Kent, J.T.1
Mardia, K.V.2
-
30
-
-
80052328274
-
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
-
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
-
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
-
33
-
-
0041458783
-
A Circle of Best Fit for Spherical Data and Areas of Vulcanism
-
K.V.Mardia,, and R.J.Gadsden, (1977), “A Circle of Best Fit for Spherical Data and Areas of Vulcanism,” Journal of the Royal Statistical Society, Series C, 26, 238–245.
-
(1977)
Journal of the Royal Statistical Society, Series C
, vol.26
, pp. 238-245
-
-
Mardia, K.V.1
Gadsden, R.J.2
-
35
-
-
0037281553
-
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
-
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
-
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
-
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
-
40
-
-
85030553082
-
Nested Sphere Statistics of Skeletal Models
-
Breuß M., Bruckstein A., Maragos P., (eds), New York: Springer
-
S.M.Pizer,, S.Jung,, D.Goswami,, X.Zhao,, R.Chaudhuri,, J.N.Damon,, S.Huckemann,, and J.S.Marron, (2013), “Nested Sphere Statistics of Skeletal Models,” in Innovations for Shape Analysis: Models and Algorithms, (Lecture Notes in Computer Science), eds. M.Breuß, A.Bruckstein, and P.Maragos, New York: Springer, pp. 93–115.
-
(2013)
Innovations for Shape Analysis: Models and Algorithms, (Lecture Notes in Computer Science)
, pp. 93-115
-
-
Pizer, S.M.1
Jung, S.2
Goswami, D.3
Zhao, X.4
Chaudhuri, R.5
Damon, J.N.6
Huckemann, S.7
Marron, J.S.8
-
41
-
-
1342343876
-
Methodological Concerns Using Intra-Cortical Pins to Measure Tibiofemoral Kinematics
-
D.K.Ramsey,, P.F.Wretenberg,, D.L.Benoit,, M.Lamontagne,, and G.Nemeth, (2003), “Methodological Concerns Using Intra-Cortical Pins to Measure Tibiofemoral Kinematics,” Knee Surgery, Sports Traumatology, Arthroscopy: Official Journal of the ESSKA, 11, 344–349.
-
(2003)
Knee Surgery, Sports Traumatology, Arthroscopy: Official Journal of the ESSKA
, vol.11
, pp. 344-349
-
-
Ramsey, D.K.1
Wretenberg, P.F.2
Benoit, D.L.3
Lamontagne, M.4
Nemeth, G.5
-
42
-
-
0034363473
-
Using Orientation Statistics to Investigate Variations in Human Kinematics
-
D.Rancourt,, L.-P.Rivest,, and J.Asselin, (2000), “Using Orientation Statistics to Investigate Variations in Human Kinematics,” Journal of the Royal Statistical Society, Series C, 49, 81–94.
-
(2000)
Journal of the Royal Statistical Society, Series C
, vol.49
, pp. 81-94
-
-
Rancourt, D.1
Rivest, L.-P.2
Asselin, J.3
-
43
-
-
0001515355
-
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
-
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
-
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
-
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
-
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
-
48
-
-
54949117586
-
A Directional Model for the Estimation of the Rotation Axes of the Ankle Joint
-
L.-P.Rivest,, S.Baillargeon,, and M.Pierrynowski, (2008), “A Directional Model for the Estimation of the Rotation Axes of the Ankle Joint,” Journal of the American Statistical Association, 103, 1060–1069.
-
(2008)
Journal of the American Statistical Association
, vol.103
, pp. 1060-1069
-
-
Rivest, L.-P.1
Baillargeon, S.2
Pierrynowski, M.3
-
49
-
-
42049110309
-
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
-
51
-
-
34248373097
-
-
Dordrecht, Netherlands: Springer
-
K.Siddiqi,, and S.Pizer, (2008), Medial Representations: Mathematics, Algorithms and Applications, Computational Imaging and Vision (1st ed., Vol. 37), Dordrecht, Netherlands: Springer.
-
(2008)
Medial Representations: Mathematics, Algorithms and Applications, Computational Imaging and Vision (1st ed., Vol. 37)
-
-
Siddiqi, K.1
Pizer, S.2
-
52
-
-
33750367461
-
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
|