-
1
-
-
78650856695
-
-
S. Aja-Fernández R. de Luis García D. Tao X. Li (eds). Springer Berlin
-
Aja-Fernández, S., de Luis García, R., Tao, D., Li, X. (eds.): Tensors in Image Processing and Computer Vision, Advances in Pattern Recognition. Springer, Berlin (2009)
-
(2009)
Tensors in Image Processing and Computer Vision, Advances in Pattern Recognition
-
-
-
2
-
-
77953495496
-
-
PhD thesis, Department for Analysis, Budapest University of Technology and Economics (2003) in Hungarian
-
Andai, A.: Information geometry in quantum mechanics. PhD thesis, Department for Analysis, Budapest University of Technology and Economics (2003) in Hungarian
-
Information Geometry in Quantum Mechanics
-
-
Andai, A.1
-
3
-
-
0024057538
-
Periodic area-minimizing surfaces in block copolymers
-
10.1038/334598a0
-
D. Anderson D. Hoffman C. Henke E.L. Thomas 1988 Periodic area-minimizing surfaces in block copolymers Nature 334 598 601 10.1038/334598a0
-
(1988)
Nature
, vol.334
, pp. 598-601
-
-
Anderson, D.1
Hoffman, D.2
Henke, C.3
Thomas, E.L.4
-
4
-
-
0023829056
-
Minimal surfaces and structures: From inorganic and metal crystals to cell membranes and biopolymers
-
S. Andersson S.T. Hyde K. Larsson S. Lidin 1988 Minimal surfaces and structures: From inorganic and metal crystals to cell membranes and biopolymers Chem. Rev. 88 221 242 10.1021/cr00083a011 (Pubitemid 18632579)
-
(1988)
Chemical Reviews
, vol.88
, Issue.1
, pp. 221-242
-
-
Andersson Sten1
Hyde, S.T.2
Larsson Kare3
Lidin Sven4
-
5
-
-
33645357937
-
Fast and simple calculus on tensors in the log-euclidean framework
-
DOI 10.1007/11566465-15, Medical Image Computing and Computer-Assisted Intervention - MICCAI 2005 - 8th International Conference, Proceedings
-
Arsigny, V., Fillard, P., Pennec, X., Ayache, N.: Fast and simple calculus on tensors in the Log-Euclidean framework. In: Duncan, J., Gerig, G. (eds.) Proc. 8th Int. Conf. on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2005, Part I. Lecture Notes in Computer Science, vol. 3749, pp. 115-122. Springer, Palm (2005) (Pubitemid 43828241)
-
(2005)
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
, vol.3749 LNCS
, pp. 115-122
-
-
Arsigny, V.1
Fillard, P.2
Pennec, X.3
Ayache, N.4
-
6
-
-
0028154030
-
MR diffusion tensor spectroscopy and imaging
-
P.J. Basser J. Matiello D. LeBihan 1994 MR diffusion tensor spectroscopy and imaging Biophys. J. 66 259 267 10.1016/S0006-3495(94)80775-1 (Pubitemid 24016507)
-
(1994)
Biophysical Journal
, vol.66
, Issue.1
, pp. 259-267
-
-
Basser, P.J.1
Mattiello, J.2
LeBihan, D.3
-
7
-
-
31444440896
-
Riemannian geometry and matrix geometric means
-
DOI 10.1016/j.laa.2005.08.025, PII S0024379505004350
-
R. Bhatia J. Holbrook 2006 Riemannian geometry and matrix geometric means Linear Algebra Appl. 413 594 618 2198952 1088.15022 10.1016/j.laa.2005.08.025 (Pubitemid 43152409)
-
(2006)
Linear Algebra and Its Applications
, vol.413
, Issue.2-3 SPEC. ISS.
, pp. 594-618
-
-
Bhatia, R.1
Holbrook, J.2
-
9
-
-
0000367297
-
Informative geometry of probability spaces
-
867963 0604.62006
-
J. Burbea 1986 Informative geometry of probability spaces Expo. Math. 4 347 378 867963 0604.62006
-
(1986)
Expo. Math.
, vol.4
, pp. 347-378
-
-
Burbea, J.1
-
10
-
-
33750991067
-
A Riemannian approach to anisotropic filtering of tensor fields
-
DOI 10.1016/j.sigpro.2006.02.049, PII S0165168406001708
-
C.A. Castaño-Moraga C. Lenglet R. Deriche J. Ruiz-Alzola 2007 A Riemannian approach to anisotropic filtering of tensor fields Signal Process. 87 263 276 1186.94077 10.1016/j.sigpro.2006.02.049 (Pubitemid 44740109)
-
(2007)
Signal Processing
, vol.87
, Issue.2
, pp. 263-276
-
-
Castano-Moraga, C.A.1
Lenglet, C.2
Deriche, R.3
Ruiz-Alzola, J.4
-
11
-
-
0026821645
-
Image selective smoothing and edge detection by nonlinear diffusion
-
1149092 0746.65091 10.1137/0729012
-
F. Catté P.-L. Lions J.-M. Morel T. Coll 1992 Image selective smoothing and edge detection by nonlinear diffusion SIAM J. Numer. Anal. 29 182 193 1149092 0746.65091 10.1137/0729012
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 182-193
-
-
Catté, F.1
Lions, P.-L.2
Morel, J.-M.3
Coll, T.4
-
12
-
-
84944402332
-
Constrained flows of matrix-valued functions: Application to diffusion tensor regularization
-
A. Heyden M.N.G. Sparr P. Johansen (eds). Springer Berlin. 10.1007/3-540-47969-4-17
-
Chefd'Hotel, C., Tschumperlé, D., Deriche, R., Faugeras, O.: Constrained flows of matrix-valued functions: Application to diffusion tensor regularization. In: A.,Heyden, Sparr, M.N.G., Johansen, P. (eds.) Computer Vision, ECCV 2002. Lecture Notes in Computer Science, vol. 2350, pp. 251-265. Springer, Berlin (2002)
-
(2002)
Computer Vision, ECCV 2002, Lecture Notes in Computer Science
, Issue.2350
, pp. 251-265
-
-
Chefd'Hotel, C.1
Tschumperlé, D.2
Deriche, R.3
Faugeras, O.4
-
14
-
-
0002214863
-
Minimum energy configuration for liquid crystals: Computational results
-
J.L. Ericksen D. Kinderlehrer (eds). Springer New York
-
Cohen, R., Hardt, R.M., Kinderlehrer, D., Lin, S.Y., Luskin, M.: Minimum energy configuration for liquid crystals: Computational results. In: Ericksen, J.L., Kinderlehrer, D. (eds.) Theory and Applications of Liquid Crystals. IMA Volumes in Mathematics and its Applications, vol. 5, pp. 99-121. Springer, New York (1987)
-
(1987)
Theory and Applications of Liquid Crystals, IMA Volumes in Mathematics and Its Applications
, Issue.5
, pp. 99-121
-
-
Cohen, R.1
Hardt, R.M.2
Kinderlehrer, D.3
Lin, S.Y.4
Luskin, M.5
-
15
-
-
79953225586
-
Variational approaches to the estimation, regularization and segmentation of diffusion tensor images
-
N. Paragios Y. Chen O. Faugeras (eds). Springer Berlin. 10.1007/0-387-28831-7-32
-
Deriche, R., Tschumperlé, D., Lenglet, C., Rousson, M.: Variational approaches to the estimation, regularization and segmentation of diffusion tensor images. In: Paragios, N., Chen, Y., Faugeras, O. (eds.) Handbook of Mathematical Models in Computer Vision, pp. 517-530. Springer, Berlin (2006)
-
(2006)
Handbook of Mathematical Models in Computer Vision
, pp. 517-530
-
-
Deriche, R.1
Tschumperlé, D.2
Lenglet, C.3
Rousson, M.4
-
17
-
-
0001675252
-
Harmonic mappings of Riemannian manifolds
-
164306 0122.40102 10.2307/2373037
-
J. Eells J.H. Sampson 1964 Harmonic mappings of Riemannian manifolds Am. J. Math. 86 109 160 164306 0122.40102 10.2307/2373037
-
(1964)
Am. J. Math.
, vol.86
, pp. 109-160
-
-
Eells, J.1
Sampson, J.H.2
-
19
-
-
33646872018
-
Curvature-driven PDE methods for matrix-valued images
-
DOI 10.1007/s11263-006-6854-8, Variational Geometric and LS Methods (VLSM 2003)
-
C. Feddern J. Weickert B. Burgeth M. Welk 2006 Curvature-driven PDE methods for matrix-valued images Int. J. Comput. Vis. 69 93 107 10.1007/s11263-006-6854-8 (Pubitemid 43787403)
-
(2006)
International Journal of Computer Vision
, vol.69
, Issue.1
, pp. 93-107
-
-
Feddern, C.1
Weickert, J.2
Burgeth, B.3
Welk, M.4
-
21
-
-
37249093138
-
Coordinate-free diffusion over compact lie-groups
-
Scale Space and Variational Methods in Computer Vision, First International Conference, SSVM 2007, Proceedings
-
Gur, Y., Sochen, N.: Coordinates free diffusion over compact Lie-groups. In: Sgallari, F., Murli, A., Paragios, N. (eds.) Scale Space and Variational Methods in Computer Vision. Lecture Notes in Computer Science, vol. 4485, pp. 580-591. Springer, Berlin (2007) (Pubitemid 350269828)
-
(2007)
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
, vol.4485 LNCS
, pp. 580-591
-
-
Gur, Y.1
Sochen, N.2
-
22
-
-
34648820376
-
Bilateral filtering of diffusion tensor magnetic resonance images
-
DOI 10.1109/TIP.2007.904964
-
G. Hamarneh J. Hradsky 2007 Bilateral filtering of diffusion tensor magnetic resonance images IEEE Trans. Image Process. 16 2463 2475 2467778 10.1109/TIP.2007.904964 (Pubitemid 47456016)
-
(2007)
IEEE Transactions on Image Processing
, vol.16
, Issue.10
, pp. 2463-2475
-
-
Hamarneh, G.1
Hradsky, J.2
-
24
-
-
84984281904
-
Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics
-
549795 0435.15022 10.2307/3315017
-
H.V. Henderson S.R. Searle 1979 Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics Can. J. Stat. 7 65 81 549795 0435.15022 10.2307/3315017
-
(1979)
Can. J. Stat.
, vol.7
, pp. 65-81
-
-
Henderson, H.V.1
Searle, S.R.2
-
25
-
-
0009472042
-
On the cone of positive semidefinite matrices
-
884112 0615.15008 10.1016/0024-3795(87)90307-7
-
R.D. Hill 1987 On the cone of positive semidefinite matrices Linear Algebra Appl. 90 81 88 884112 0615.15008 10.1016/0024-3795(87)90307-7
-
(1987)
Linear Algebra Appl.
, vol.90
, pp. 81-88
-
-
Hill, R.D.1
-
27
-
-
0034266690
-
Images as embedded maps and minimal surfaces: Movies, color, texture, and volumetric medical images
-
1060.68656 10.1023/A:1008171026419
-
R. Kimmel R. Malladi N. Sochen 2000 Images as embedded maps and minimal surfaces: movies, color, texture, and volumetric medical images Int. J. Comput. Vis. 39 111 129 1060.68656 10.1023/A:1008171026419
-
(2000)
Int. J. Comput. Vis.
, vol.39
, pp. 111-129
-
-
Kimmel, R.1
Malladi, R.2
Sochen, N.3
-
30
-
-
0035080580
-
Diffusion tensor imaging: Concepts and applications
-
DOI 10.1002/jmri.1076
-
D. LeBihan J.-F. Mangin C. Poupon C.A. Clark S. Pappata N. Molko H. Chabriat 2001 Diffusion tensor imaging: concepts and applications J. Magn. Reson. Imaging 13 534 546 10.1002/jmri.1076 (Pubitemid 32231507)
-
(2001)
Journal of Magnetic Resonance Imaging
, vol.13
, Issue.4
, pp. 534-546
-
-
Le Bihan, D.1
Mangin, J.-F.2
Poupon, C.3
Clark, C.A.4
Pappata, S.5
Molko, N.6
Chabriat, H.7
-
31
-
-
33746718728
-
Statistics on the manifold of multivariate normal distributions: Theory and application to diffusion tensor MRI processing
-
DOI 10.1007/s10851-006-6897-z, Special Issue on Mathematics and Image Analysis (MIA'04)
-
C. Lenglet M. Rousson R. Deriche O. Faugeras 2006 Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing J. Math. Imaging Vis. 25 423 444 2283616 10.1007/s10851-006-6897-z (Pubitemid 44728466)
-
(2006)
Journal of Mathematical Imaging and Vision
, vol.25
, Issue.3
, pp. 423-444
-
-
Lenglet, C.1
Rousson, M.2
Deriche, R.3
Faugeras, O.4
-
32
-
-
0004237651
-
-
Oxford University Press London 0667.15010
-
Magnus, J.R.: Linear Structures. Oxford University Press, London (1988)
-
(1988)
Linear Structures
-
-
Magnus, J.R.1
-
33
-
-
0011563924
-
The elimination matrix: Some lemmas and applications
-
593853 0497.15014 10.1137/0601049
-
J.R. Magnus H. Neudecker 1980 The elimination matrix: some lemmas and applications SIAM J. Algebr. Discrete Methods 1 422 449 593853 0497.15014 10.1137/0601049
-
(1980)
SIAM J. Algebr. Discrete Methods
, vol.1
, pp. 422-449
-
-
Magnus, J.R.1
Neudecker, H.2
-
34
-
-
22944439423
-
A differential geometric approach to the geometric mean of symmetric positive-definite matrices
-
DOI 10.1137/S0895479803436937
-
M. Moakher 2005 A differential geometric approach to the geometric mean of symmetric positive-definite matrices SIAM J. Matrix Anal. Appl. 26 735 747 2137480 1079.47021 10.1137/S0895479803436937 (Pubitemid 41049842)
-
(2005)
SIAM Journal on Matrix Analysis and Applications
, vol.26
, Issue.3
, pp. 735-747
-
-
Moakher, M.1
-
35
-
-
33645812768
-
On the averaging of symmetric positive-definite tensors
-
2231065 1094.74010 10.1007/s10659-005-9035-z
-
M. Moakher 2006 On the averaging of symmetric positive-definite tensors J. Elast. 82 273 296 2231065 1094.74010 10.1007/s10659-005-9035-z
-
(2006)
J. Elast.
, vol.82
, pp. 273-296
-
-
Moakher, M.1
-
36
-
-
79953205272
-
A Riemannain framework for the averaging, smoothing and interpolation of constrained data
-
Nice, France
-
Moakher, M.: A Riemannain framework for the averaging, smoothing and interpolation of constrained data. In: 3rd Conference on Inverse Problems Control and Shape Optimization, Nice, France, pp. 119-126 (2006)
-
(2006)
3rd Conference on Inverse Problems Control and Shape Optimization
, pp. 119-126
-
-
Moakher, M.1
-
37
-
-
85032187592
-
The symmetric space of positive definite tensors: From geometry to applications and visualization
-
J. Weickert H. Hagen (eds). Springer Berlin. 10.1007/3-540-31272-2-17
-
Moakher, M., Batchelor, P.G.: The symmetric space of positive definite tensors: From geometry to applications and visualization. In: Weickert, J., Hagen, H. (eds.) Visualization and Processing of Tensor Fields. Mathematics and Visualization, pp. 285-298. Springer, Berlin (2006)
-
(2006)
Visualization and Processing of Tensor Fields , Mathematics and Visualization
, pp. 285-298
-
-
Moakher, M.1
Batchelor, P.G.2
-
38
-
-
0033563743
-
Diffusion magnetic resonance imaging: Its principle and applications
-
DOI 10.1002/(SICI)1097-0185(19990615)257:3<102::AID-AR7>3.0.CO;2-6
-
S. Mori P.B. Barker 1999 Diffusion magnetic resonance imaging: its principle and applications Anat. Rec., Part B, New Anat. 257 102 109 10.1002/(SICI)1097-0185(19990615)257:3<102::AID-AR7>3.0.CO;2-6 (Pubitemid 29328295)
-
(1999)
Anatomical Record
, vol.257
, Issue.3
, pp. 102-109
-
-
Mori, S.1
-
39
-
-
0030508084
-
Dualistic differential geometry of positive definite matrices and its applications to related problems
-
DOI 10.1016/0024-3795(94)00348-3
-
A. Ohara N. Suda S. Amari 1996 Dualistic differential geometry of positive definite matrices and its applications to related problems Linear Algebra Appl. 247 31 53 1412739 0863.15009 10.1016/0024-3795(94)00348-3 (Pubitemid 126391650)
-
(1996)
Linear Algebra and Its Applications
, vol.247
, pp. 31-53
-
-
Ohara, A.1
Suda, N.2
Amari, S.-I.3
-
40
-
-
0036295606
-
A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue
-
10.1006/jmre.2001.2452
-
S. Pajevic A. Aldroubi P.J. Basser 2002 A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue J. Magn. Reson. 154 85 100 10.1006/jmre.2001. 2452
-
(2002)
J. Magn. Reson.
, vol.154
, pp. 85-100
-
-
Pajevic, S.1
Aldroubi, A.2
Basser, P.J.3
-
44
-
-
34547871974
-
Means of positive matrices: Geometry and a conjecture
-
2264873 1115.47018
-
D. Petz 2005 Means of positive matrices: geometry and a conjecture Ann. Math. Inform. 32 129 139 2264873 1115.47018
-
(2005)
Ann. Math. Inform.
, vol.32
, pp. 129-139
-
-
Petz, D.1
-
45
-
-
4243226043
-
Quantum geometry of Bosonic strings
-
623209 10.1016/0370-2693(81)90743-7
-
A.M. Polyakov 1981 Quantum geometry of Bosonic strings Phys. Lett. B 103 207 210 623209 10.1016/0370-2693(81)90743-7
-
(1981)
Phys. Lett. B
, vol.103
, pp. 207-210
-
-
Polyakov, A.M.1
-
46
-
-
0039090830
-
Strings and membranes in curved space
-
1014966 0677.53084 10.1088/0264-9381/6/10/006
-
K.M. Short 1989 Strings and membranes in curved space Class. Quantum Gravity 6 1351 1372 1014966 0677.53084 10.1088/0264-9381/6/10/006
-
(1989)
Class. Quantum Gravity
, vol.6
, pp. 1351-1372
-
-
Short, K.M.1
-
48
-
-
0032024514
-
A general framework for low level vision
-
PII S1057714998017497
-
N.A. Sochen R. Kimmel R. Malladi 1998 A general framework for low level vision IEEE Trans. Image Process. 7 310 318 1669540 0973.94502 10.1109/83.661181 (Pubitemid 128745349)
-
(1998)
IEEE Transactions on Image Processing
, vol.7
, Issue.3
, pp. 310-318
-
-
Sochen, N.1
Kimmel, R.2
Malladi, R.3
-
49
-
-
9744276022
-
Stereographic combing a porcupine or studies on direction diffusion in image processing
-
2084198 1058.94504 10.1137/S0036139902415518
-
N.A. Sochen C. Sagiv R. Kimmel 2004 Stereographic combing a porcupine or studies on direction diffusion in image processing SIAM J. Appl. Math. 64 1477 1508 2084198 1058.94504 10.1137/S0036139902415518
-
(2004)
SIAM J. Appl. Math.
, vol.64
, pp. 1477-1508
-
-
Sochen, N.A.1
Sagiv, C.2
Kimmel, R.3
-
50
-
-
0033893218
-
Diffusion of general data on non-flat manifolds via harmonic maps theory: The direction diffusion case
-
DOI 10.1023/A:1008152115986
-
B. Tang G. Sapiro V. Caselles 2000 Diffusion of general data on non-flat manifolds via harmonic maps theory: the direction diffusion case Int. J. Comput. Vis. 36 149 161 10.1023/A:1008152115986 (Pubitemid 30588072)
-
(2000)
International Journal of Computer Vision
, vol.36
, Issue.2
, pp. 149-161
-
-
Tang, B.1
Sapiro, G.2
Caselles, V.3
-
51
-
-
0001069766
-
The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
-
10.2307/1970949
-
J. Taylor 1976 The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces Ann. Math. 103 489 539 10.2307/1970949
-
(1976)
Ann. Math.
, vol.103
, pp. 489-539
-
-
Taylor, J.1
-
52
-
-
0001517245
-
The theory of convex homogeneous cones
-
0138.43301
-
E.B. Vinberg 1963 The theory of convex homogeneous cones Trans. Mosc. Math. Soc. 12 340 403 0138.43301
-
(1963)
Trans. Mosc. Math. Soc.
, vol.12
, pp. 340-403
-
-
Vinberg, E.B.1
-
53
-
-
24644465521
-
Diffusion and regularization of vector- and matrix-valued images
-
N.Z. Nashed O. Scherzer (eds). AMS Providence
-
Weickert, J., Brox, T.: Diffusion and regularization of vector- and matrix-valued images. In: Nashed, N.Z., Scherzer, O. (eds.) Inverse Problems, Image Analysis, and Medical Imaging. Contemporary Mathematics, vol. 313, pp. 251-268. AMS, Providence (2002)
-
(2002)
Inverse Problems, Image Analysis, and Medical Imaging Contemporary Mathematics
, Issue.313
, pp. 251-268
-
-
Weickert, J.1
Brox, T.2
|