7.10.10 Statistical Image Models

Kretzmer, E.R.,
Statistics of Television Signals,
Bell System Tech.(31), No. 4, July 1952, pp. 7551-763. BibRef 5207

Swerling, P.,
Statistical Properties of the Contours of Random Surfaces,
IT(8), No. 3, July 1962, pp. 315-321. BibRef 6207

Pawula, R.F.,
Comments on 'Statistical Properties of the Contours of Random Surfaces',
IT(9), No. 3, July 1963, pp. 208-209. BibRef 6307

Hunt, B.R., and Cannon, T.M.,
Nonstationary Assumptions for Gaussian Models of Images,
SMC(6), December 1976, pp. 876-881. See also Comments on Nonstationary Assumptions for Gaussian Models of Images. BibRef 7612

Hunt, B.R.,
Nonstationary Statistical Image Models (and Their Application to Image Data compression),
CGIP(12), No. 2, February 1980, pp. 173-186.
WWW Version. BibRef 8002

Trussell, H.J., and Kruger, R.P.,
Comments on Nonstationary Assumptions for Gaussian Models of Images,
SMC(8), 1978, pp. 579-582. See also Nonstationary Assumptions for Gaussian Models of Images. BibRef 7800

Panda, D.P.,
Statistical Properties of Thresholded Images,
CGIP(8), No. 3, December 1978, pp. 334-354.
WWW Version. BibRef 7812

McClure, D.E.[Donald E.],
Image models in pattern theory,
CGIP(12), No. 4, April 1980, pp. 309-325.
WWW Version. 0501
BibRef

Kadota, T.T.,
Piecewise Linear Random Paths on a Plane and a Central Limit Theorem,
IT(1), 1983, pp. 241-245. BibRef 8300

Kadota, T.T., Seery, J.B.,
Probability Distributions of Randomly Moving Objects on a Plane,
IT(1), 1983, pp. 756-761. BibRef 8300

Kashyap, R.L.,
Orientation of Anisotropic Random Fields and Images,
PRL(2), 1984, pp. 249-256. BibRef 8400

Dunn, S.M., Keizer, R.L., Rosenfeld, A.,
Random Field Identification from a Sample: Experimental Results,
PRL(8), 1988, pp. 15-20. BibRef 8800

Jeulin, D.,
Special Section On Random Models In Imaging,
JEI(6), No. 1, January 1997, pp. 6-6. 9807
BibRef

Pikaz, A.[Arie], Averbuch, A.[Amir],
On the Relation between Second-Order Statistics, Connectivity Analysis, and Percolation Models in Digital Textures,
GMIP(60), No. 3, May 1998, pp. 226-232. BibRef 9805

Aykroyd, R.G.[Robert G.],
Bayesian Estimation for Homogeneous and Inhomogeneous Gaussian Random Fields,
PAMI(20), No. 5, May 1998, pp. 533-539.
IEEE Abstract. IEEE Top Reference.
WWW Version. 9806
BibRef

Sun, C.M.[Chang-Ming],
Fast Algorithm for Local Statistics Calculation for N -Dimensional Images,
RealTimeImg(7), No. 6, December 2001, pp. 519-527.
WWW Version. 0202
BibRef

Eom, K.B.,
Long-correlation image models for textures with circular and elliptical correlation structures,
IP(10), No. 7, July 2001, pp. 1047-1055.
IEEE DOI Link 0108
BibRef

Srivastava, A., Lee, A.B., Simoncelli, E.P., Zhu, S.C.,
On Advances in Statistical Modeling of Natural Images,
JMIV(18), No. 1, January 2003, pp. 17-33.
WWW Version. 0301
BibRef

Lee, A.B.[Ann B.], Pedersen, K.S.[Kim S.], Mumford, D.[David],
The Nonlinear Statistics of High-Contrast Patches in Natural Images,
IJCV(54), No. 1-3, August 2003, pp. 83-103.
WWW Version. 0306
BibRef
Earlier:
The Complex statistics of high contrast patches in natural images,
SCTV01(xx-yy). 0106
BibRef

Pedersen, K.S.[Kim Steenstrup], Duits, R.[Remco], Nielsen, M.[Mads],
On a Kernels, Lévy Processes, and Natural Image Statistics,
ScaleSpace05(468-479).
WWW Version. 0505
BibRef

Deléchelle, É.[Éric], Nunes, J.C.[Jean-Claude], Lemoine, J.[Jacques],
Empirical mode decomposition synthesis of fractional processes in 1D- and 2D-space,
IVC(23), No. 9, 1 September 2005, pp. 799-806.
WWW Version. 0508
Gaussian, Brownian texture models. BibRef

Lillholm, M.[Martin], Nielsen, M.[Mads], Griffin, L.D.[Lewis D.],
Feature-Based Image Analysis,
IJCV(52), No. 2-3, May-June 2003, pp. 73-95.
WWW Version. 0301
See also Superficial and deep structure in linear diffusion scale space: isophotes, critical points and separatrices. BibRef

Lillholm, M.[Martin], Griffin, L.D.[Lewis D.],
Statistics and category systems for the shape index descriptor of local 2nd order natural image structure,
IVC(27), No. 6, 4 May 2009, pp. 771-781.
Elsevier DOI Link
WWW Version. 0904
BibRef
Earlier:
Novel image feature alphabets for object recognition,
ICPR08(1-4).
IEEE DOI Link 0812
Local image structure; Image features; Natural image statistics BibRef

Griffin, L.D.[Lewis D.], Lillholm, M.[Martin], Crosier, M.S.[Mike S.], van Sande, J.[Justus],
Basic Image Features (BIFs) Arising from Approximate Symmetry Type,
SSVM09(343-355).
Springer DOI Link 0906
BibRef

Crosier, M.S.[Michael S.], Griffin, L.D.[Lewis D.],
Texture classification with a dictionary of basic image features,
CVPR08(1-7).
IEEE DOI Link 0806
BibRef

Nielsen, M., Lillholm, M.,
What do features tell about images?,
ScaleSpace01(xx-yy). 0106
BibRef

Griffin, L.D.[Lewis D.], Lillholm, M.[Martin],
Hypotheses for Image Features, Icons and Textons,
IJCV(70), No. 3, December 2006, pp. 213-230.
Springer DOI Link 0608
BibRef
Earlier:
Image Features and the 1-D, 2nd Order Gaussian Derivative Jet,
ScaleSpace05(26-37).
WWW Version. 0505
BibRef

Griffin, L.D.[Lewis D.], Lillholm, M.[Martin],
Mode Estimation Using Pessimistic Scale Space Tracking,
ScaleSpace03(266-280).
HTML Version. 0310
BibRef

Tagliati, E., Griffin, L.D.,
Features in scale-space: progress on the 2D 2nd order jet,
ScaleSpace01(xx-yy). 0106
BibRef

Griffin, L.D.[Lewis D.],
The Second Order Local-Image-Structure Solid,
PAMI(29), No. 8, August 2007, pp. 1355-1366.
IEEE DOI Link 0707
BibRef

Lillholm, M.[Martin], Griffin, L.D.[Lewis D.],
Maximum Likelihood Metameres for Local 2nd Order Image Structure of Natural Images,
SSVM07(394-405).
Springer DOI Link 0705
BibRef

Griffin, L.D.[Lewis D.],
Symmetries of 1-D Images,
JMIV(31), No. 2-3, July 2008, pp. 157-164.
WWW Version. 0711
BibRef

Griffin, L.D.[Lewis D.],
Symmetries of 2-D Images: Cases without Periodic Translations,
JMIV(34), No. 3, July 2009, pp. xx-yy.
Springer DOI Link 0906
BibRef

Tappen, M.F.[Marshall F.], Samuel, K.G.G.[Kegan G. G.], Dean, C.V.[Craig V.], Lyle, D.M.[David M.],
The Logistic Random Field: A convenient graphical model for learning parameters for MRF-based labeling,
CVPR08(1-8).
IEEE DOI Link 0806
BibRef

Tappen, M.F.[Marshall F.], Liu, C.[Ce], Adelson, E.H.[Edward H.], Freeman, W.T.[William T.],
Learning Gaussian Conditional Random Fields for Low-Level Vision,
CVPR07(1-8).
IEEE DOI Link 0706
BibRef

Zheng, H.W.[Hong-Wei], Hellwich, O.[Olaf],
Extended Mumford-Shah Regularization in Bayesian Estimation for Blind Image Deconvolution and Segmentation,
IWCIA06(144-158).
Springer DOI Link 0606
See also Optimal Approximations by Piecewise Smooth Functions and Variational Problems. BibRef

Xu, C.L.[Cun Lu], Chen, Y.Q.[Yan Qiu],
Statistical landscape features for texture classification,
ICPR04(I: 676-679).
IEEE DOI Link 0409
BibRef

Sullins, J.R.[John R.],
Distributed learning of texture classification,
ECCV90(347-358).
Springer DOI Link 9004
BibRef

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Dynamic Textures .