-
1
-
-
0003372875
-
Methods of Information Geometry
-
American Mathematical Society New York 0960.62005
-
Amari, S., Nagaoka, H.: Methods of Information Geometry. Transactions of Mathematical Monographs, vol. 191. American Mathematical Society, New York (2000)
-
(2000)
Transactions of Mathematical Monographs
, vol.191
-
-
Amari, S.1
Nagaoka, H.2
-
3
-
-
0031256360
-
Geodesic estimation in elliptical distributions
-
M. Berkane K. Oden P. Bentler 1997 Geodesic estimation in elliptical distributions J. Multivar. Anal. 63 1 35 46 1491565 0897.62052 10.1006/jmva.1997.1690 (Pubitemid 127175631)
-
(1997)
Journal of Multivariate Analysis
, vol.63
, Issue.1
, pp. 35-46
-
-
Berkane, M.1
Oden, K.2
Bentler, P.M.3
-
4
-
-
0032627692
-
A flexible image database system for content-based retrieval
-
10.1006/cviu.1999.0772
-
A. Berman L. Shapiro 1999 A flexible image database system for content-based retrieval Comput. Vis. Image Underst. 75 1-2 175 195 10.1006/cviu.1999.0772
-
(1999)
Comput. Vis. Image Underst.
, vol.75
, Issue.12
, pp. 175-195
-
-
Berman, A.1
Shapiro, L.2
-
5
-
-
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
-
6
-
-
0001445688
-
Entropy differential metric, distance and divergence measures in probability spaces: A unified approach
-
680530 0526.60015 10.1016/0047-259X(82)90065-3
-
J. Burbea C. Rao 1982 Entropy differential metric, distance and divergence measures in probability spaces: a unified approach J. Multivar. Anal. 12 4 575 596 680530 0526.60015 10.1016/0047-259X(82)90065-3
-
(1982)
J. Multivar. Anal.
, vol.12
, Issue.4
, pp. 575-596
-
-
Burbea, J.1
Rao, C.2
-
7
-
-
0015531930
-
Some approaches to best-match file searching
-
0269.68062 10.1145/362003.362025
-
W. Burkhard R. Keller 1973 Some approaches to best-match file searching Commun. ACM 16 4 230 236 0269.68062 10.1145/362003.362025
-
(1973)
Commun. ACM
, vol.16
, Issue.4
, pp. 230-236
-
-
Burkhard, W.1
Keller, R.2
-
8
-
-
0037102475
-
A distance between elliptical distributions based in an embedding into the Siegel group
-
1917273 1021.62041 10.1016/S0377-0427(01)00584-2
-
M. Calvo J. Oller 2002 A distance between elliptical distributions based in an embedding into the Siegel group J. Comput. Appl. Math. 145 2 319 334 1917273 1021.62041 10.1016/S0377-0427(01)00584-2
-
(2002)
J. Comput. Appl. Math.
, vol.145
, Issue.2
, pp. 319-334
-
-
Calvo, M.1
Oller, J.2
-
10
-
-
33750991067
-
A Riemannian approach to anisotropic filtering of tensor fields
-
DOI 10.1016/j.sigpro.2006.02.049, PII S0165168406001708
-
C. Castano-Moraga C. Lenglet R. Deriche J. Ruiz-Alzola 2007 A Riemannian approach to anisotropic filtering of tensor fields Signal Process. 87 2 263 276 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
-
-
0003688767
-
Statistical decision rules and optimal inference
-
American Mathematical Society Providence
-
Čenkov, N.: Statistical Decision Rules and Optimal Inference. Translations of Mathematical Monographs, vol. 53. American Mathematical Society, Providence (1982)
-
(1982)
Translations of Mathematical Monographs
, vol.53
-
-
Čenkov, N.1
-
12
-
-
10644256458
-
Multivariate statistical modeling for image denoising using wavelet transforms
-
D. Cho T. Bui 2005 Multivariate statistical modeling for image denoising using wavelet transforms Signal Process. 20 1 77 89
-
(2005)
Signal Process.
, vol.20
, Issue.1
, pp. 77-89
-
-
Cho, D.1
Bui, T.2
-
13
-
-
84945596172
-
A contribution to the theory of statistical estimation
-
17505
-
H. Cramér 1946 A contribution to the theory of statistical estimation Skand. Aktuarietidskr. 29 85 94 17505
-
(1946)
Skand. Aktuarietidskr.
, vol.29
, pp. 85-94
-
-
Cramér, H.1
-
15
-
-
0036474679
-
Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance
-
DOI 10.1109/83.982822, PII S1057714902008072
-
M. Do M. Vetterli 2002 Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance IEEE Trans. Image Process. 11 2 146 158 1888915 10.1109/83.982822 (Pubitemid 34278451)
-
(2002)
IEEE Transactions on Image Processing
, vol.11
, Issue.2
, pp. 146-158
-
-
Do, M.N.1
Vetterli, M.2
-
19
-
-
0345310674
-
Symmetric multivariate and related distributions
-
Chapman and Hall New York 0699.62048
-
Fang, K.T., Kotz, S., Ng, K.W.: Symmetric Multivariate and Related Distributions. Monographs on Statistics and Applied Probability, vol. 36. Chapman and Hall, New York (1990)
-
(1990)
Monographs on Statistics and Applied Probability
, vol.36
-
-
Fang, K.T.1
Kotz, S.2
Ng, K.W.3
-
21
-
-
47249106068
-
Image texture classification using a manifold-distance-based evolutionary clustering method
-
077,201 10.1117/1.2955785
-
M. Gong L. Jiao L. Bo L. Wang X. Zhang 2008 Image texture classification using a manifold-distance-based evolutionary clustering method Opt. Eng. 47 7 077,201 10.1117/1.2955785
-
(2008)
Opt. Eng.
, vol.47
, Issue.7
-
-
Gong, M.1
Jiao, L.2
Bo, L.3
Wang, L.4
Zhang, X.5
-
22
-
-
54949118709
-
Geodesic distance-weighted shape vector image diffusion
-
10.1109/TVCG.2008.134
-
J. Hua Z. Lai M. Dong H. Qin X. Gu 2008 Geodesic distance-weighted shape vector image diffusion IEEE Trans. Vis. Comput. Graph. 14 6 1643 1650 10.1109/TVCG.2008.134
-
(2008)
IEEE Trans. Vis. Comput. Graph.
, vol.14
, Issue.6
, pp. 1643-1650
-
-
Hua, J.1
Lai, Z.2
Dong, M.3
Qin, H.4
Gu, X.5
-
24
-
-
34447576633
-
Priority pixel queue algorithm for geodesic distance transforms
-
DOI 10.1016/j.imavis.2006.06.016, PII S0262885606003015
-
L. Ikonen 2007 Priority pixel queue algorithm for geodesic distance transforms Image Vis. Comput. 25 10 1520 1529 10.1016/j.imavis.2006.06.016 (Pubitemid 47077831)
-
(2007)
Image and Vision Computing
, vol.25
, Issue.10
, pp. 1520-1529
-
-
Ikonen, L.1
-
25
-
-
0000468150
-
The variance information manifold and the functions on it
-
P. Krishnaiah (eds). Academic Press New York
-
James, A.: The variance information manifold and the functions on it. In: Krishnaiah, P. (ed.) Multivariate Analysis III, pp. 157-169. Academic Press, New York (1973)
-
(1973)
Multivariate Analysis III
, pp. 157-169
-
-
James, A.1
-
27
-
-
0003596421
-
Geometrical foundations of asymptotic inference
-
Wiley-Interscience New York 0880.62005 10.1002/9781118165980
-
Kass, R., Vos, P.: Geometrical Foundations of Asymptotic inference. Wiley Series in Probability and Statistics. Wiley-Interscience, New York (1997)
-
(1997)
Wiley Series in Probability and Statistics
-
-
Kass, R.1
Vos, P.2
-
28
-
-
0000863729
-
Multivariate distributions at a cross road
-
Reidel Dordrecht
-
Kotz, S.: Multivariate distributions at a cross road. In: Statistical Distributions in Scientific Work, pp. 247-270. Reidel, Dordrecht (1968)
-
(1968)
Statistical Distributions in Scientific Work
, pp. 247-270
-
-
Kotz, S.1
-
30
-
-
33746641405
-
DTI segmentation by statistical surface evolution
-
DOI 10.1109/TMI.2006.873299, 1637527
-
C. Lenglet M. Rousson R. Deriche 2006 DTI segmentation by statistical surface evolution IEEE Trans. Med. Imaging 25 6 685 700 2283616 10.1109/TMI.2006.873299 (Pubitemid 44143886)
-
(2006)
IEEE Transactions on Medical Imaging
, vol.25
, Issue.6
, pp. 685-700
-
-
Lenglet, C.1
Rousson, M.2
Deriche, R.3
-
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 3 423 444 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
-
-
44449128532
-
3D face recognition by constructing deformation invariant image
-
10.1016/j.patrec.2008.03.018
-
L. Li C. Xu W. Tang C. Zhong 2008 3D face recognition by constructing deformation invariant image Pattern Recogn. Lett. 29 10 1596 1602 10.1016/j.patrec.2008.03.018
-
(2008)
Pattern Recogn. Lett.
, vol.29
, Issue.10
, pp. 1596-1602
-
-
Li, L.1
Xu, C.2
Tang, W.3
Zhong, C.4
-
33
-
-
0024700097
-
A theory for multiresolution signal decomposition: The wavelet representation
-
0709.94650 10.1109/34.192463
-
S. Mallat 1989 A theory for multiresolution signal decomposition: the wavelet representation IEEE Trans. Pattern Anal. Mach. Intell. 11 7 674 692 0709.94650 10.1109/34.192463
-
(1989)
IEEE Trans. Pattern Anal. Mach. Intell.
, vol.11
, Issue.7
, pp. 674-692
-
-
Mallat, S.1
-
35
-
-
33846263028
-
Application of the fisher-rao metric to ellipse detection
-
DOI 10.1007/s11263-006-9033-z
-
S. Maybank 2007 Application of the Fisher-Rao metric to ellipse detection Int. J. Comput. Vis. 72 3 287 307 10.1007/s11263-006-9033-z (Pubitemid 46094753)
-
(2007)
International Journal of Computer Vision
, vol.72
, Issue.3
, pp. 287-307
-
-
Maybank, S.J.1
-
36
-
-
40849083398
-
Improving geodesic distance estimation based on locally linear assumption
-
10.1016/j.patrec.2008.01.005
-
D. Meng Y. Leung Z. Xu T. Fung Q. Zhang 2008 Improving geodesic distance estimation based on locally linear assumption Pattern Recogn. Lett. 29 7 862 870 10.1016/j.patrec.2008.01.005
-
(2008)
Pattern Recogn. Lett.
, vol.29
, Issue.7
, pp. 862-870
-
-
Meng, D.1
Leung, Y.2
Xu, Z.3
Fung, T.4
Zhang, Q.5
-
37
-
-
36749077726
-
-
MIT Vision and Modeling Group Online at
-
MIT Vision and Modeling Group (2010) Vision texture. Online at http://vismod.media.mit.edu/vismod/imagery/VisionTexture/
-
(2010)
Vision Texture
-
-
-
38
-
-
0000684487
-
The information matrix, skewness tensor and α-connections for the general multivariate elliptic distribution
-
0691.62049 10.1007/BF00049397
-
A. Mitchell 1989 The information matrix, skewness tensor and α-connections for the general multivariate elliptic distribution Ann. Inst. Stat. Math. 41 2 289 304 0691.62049 10.1007/BF00049397
-
(1989)
Ann. Inst. Stat. Math.
, vol.41
, Issue.2
, pp. 289-304
-
-
Mitchell, A.1
-
39
-
-
0003558943
-
-
2 Wiley Series in Probability and Statistics Wiley-Interscience New York Sect. 1.5
-
Muirhead, R.: Aspects of Multivariate Statistical Theory, 2nd edn. Wiley Series in Probability and Statistics. Wiley-Interscience, New York (2005), Sect. 1.5
-
(2005)
Aspects of Multivariate Statistical Theory
-
-
Muirhead, R.1
-
42
-
-
13844320867
-
Segmentation of brain magnetic resonance images through morphological operators and geodesic distance
-
DOI 10.1016/j.dsp.2004.12.002, PII S1051200404001162
-
J. Pastore E. Moler V. Ballarin 2005 Segmentation of brain magnetic resonance images through morphological operators and geodesic distance Digit. Signal Process. 15 2 153 160 10.1016/j.dsp.2004.12.002 (Pubitemid 40259596)
-
(2005)
Digital Signal Processing: A Review Journal
, vol.15
, Issue.2
, pp. 153-160
-
-
Pastore, J.I.1
Moler, E.G.2
Ballarin, V.L.3
-
44
-
-
0001915002
-
Information and accuracy attainable in the estimation of statistical parameters
-
15748 0063.06420
-
C. Rao 1945 Information and accuracy attainable in the estimation of statistical parameters Bull. Calcutta Math. Soc. 37 81 89 15748 0063.06420
-
(1945)
Bull. Calcutta Math. Soc.
, vol.37
, pp. 81-89
-
-
Rao, C.1
-
45
-
-
0010884479
-
-
Tech. rep. 81/3, Statistical Research Unit, Danish Medical Research Council, Danish Social Science Research Council
-
Skovgaard, L.: A Riemannian geometry of the multivariate normal model. Tech. rep. 81/3, Statistical Research Unit, Danish Medical Research Council, Danish Social Science Research Council (1981)
-
(1981)
A Riemannian Geometry of the Multivariate Normal Model
-
-
Skovgaard, L.1
-
46
-
-
0037582222
-
A Riemannian geometry of the multivariate normal model
-
793171 0579.62033
-
L. Skovgaard 1984 A Riemannian geometry of the multivariate normal model Scand. J. Stat. 11 4 211 223 793171 0579.62033
-
(1984)
Scand. J. Stat.
, vol.11
, Issue.4
, pp. 211-223
-
-
Skovgaard, L.1
-
47
-
-
0034704229
-
A global geometric framework for nonlinear dimensionality reduction
-
DOI 10.1126/science.290.5500.2319
-
J. Tenenbaum V. de Silva J. Langford 2000 A global geometric framework for nonlinear dimensionality reduction Science 290 5500 2319 2323 10.1126/science.290.5500.2319 (Pubitemid 32041577)
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 2319-2323
-
-
Tenenbaum, J.B.1
De Silva, V.2
Langford, J.C.3
-
48
-
-
80052743356
-
-
Natick, MA
-
The Mathworks (2008) Natick, MA, www.mathworks.com
-
(2008)
The Mathworks
-
-
-
50
-
-
53449096652
-
Constructing an atlas for the diffeomorphism group of a compact manifold with boundary, with application to the analysis of image registrations
-
2474637 1152.58004 10.1016/j.cam.2007.11.008
-
C. Twining S. Marsland 2008 Constructing an atlas for the diffeomorphism group of a compact manifold with boundary, with application to the analysis of image registrations J. Comput. Appl. Math. 222 2 411 428 2474637 1152.58004 10.1016/j.cam.2007.11.008
-
(2008)
J. Comput. Appl. Math.
, vol.222
, Issue.2
, pp. 411-428
-
-
Twining, C.1
Marsland, S.2
-
51
-
-
80052941674
-
Geodesics on the manifold of multivariate generalized Gaussian distributions with an application to multicomponent texture discrimination
-
Verdoolaege, G., Scheunders, P.: Geodesics on the manifold of multivariate generalized Gaussian distributions with an application to multicomponent texture discrimination. Int. J. Comput. Vis. (2011)
-
(2011)
Int. J. Comput. Vis.
-
-
Verdoolaege, G.1
Scheunders, P.2
-
52
-
-
69949137342
-
Multiscale colour texture retrieval using the geodesic distance between multivariate generalized Gaussian models
-
10.1109/ICIP.2008.4711718
-
Verdoolaege, G., De Backer, S., Scheunders, P.: Multiscale colour texture retrieval using the geodesic distance between multivariate generalized Gaussian models. In: Proceedings of the 15th IEEE International Conference on Image Processing, pp. 169-172 (2008)
-
(2008)
Proceedings of the 15th IEEE International Conference on Image Processing
, pp. 169-172
-
-
Verdoolaege, G.1
De Backer, S.2
Scheunders, P.3
-
53
-
-
14544271152
-
Modified kernel functions by geodesic distance
-
DOI 10.1155/S111086570440314X, Nonlinear Signal and Image Processing-Part II
-
Q. Yong Y. Jie 2004 Modified kernel functions by geodesic distance EURASIP J. Appl. Signal Process. 16 2515 2521 (Pubitemid 40297530)
-
(2004)
Eurasip Journal on Applied Signal Processing
, vol.2004
, Issue.16
, pp. 2515-2521
-
-
Yong, Q.1
Jie, Y.2
|