A Statistical Approach to Texture Classification from Single Images

We investigate texture classification from single images obtained under unknown viewpoint and illumination. A statistical approach is developed where textures are modelled by the joint probability distribution of filter responses. This distribution is represented by the frequency histogram of filter response cluster centres (textons). Recognition proceeds from single, uncalibrated images and the novelty here is that rotationally invariant filters are used and the filter response space is low dimensional.Classification performance is compared with the filter banks and methods of Leung and Malik [IJCV, 2001], Schmid [CVPR, 2001] and Cula and Dana [IJCV, 2004] and it is demonstrated that superior performance is achieved here. Classification results are presented for all 61 materials in the Columbia-Utrecht texture database.We also discuss the effects of various parameters on our classification algorithm--such as the choice of filter bank and rotational invariance, the size of the texton dictionary as well as the number of training images used. Finally, we present a method of reliably measuring relative orientation co-occurrence statistics in a rotationally invariant manner, and discuss whether incorporating such information can enhance the classifier’s performance.

[1]  G. Gates,et al.  The reduced nearest neighbor rule (Corresp.) , 1972, IEEE Trans. Inf. Theory.

[2]  Ali S. Hadi,et al.  Finding Groups in Data: An Introduction to Chster Analysis , 1991 .

[3]  William H. Press,et al.  Numerical Recipes in C, 2nd Edition , 1992 .

[4]  Pietro Perona Steerable-scalable kernels for edge detection and junction analysis , 1992, Image Vis. Comput..

[5]  Tony Lindeberg,et al.  Shape-Adapted Smoothing in Estimation of 3-D Depth Cues from Affine Distortions of Local 2-D Brightness Structure , 1994, ECCV.

[6]  Shree K. Nayar,et al.  Reflectance and texture of real-world surfaces , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Shree K. Nayar,et al.  Histogram model for 3D textures , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[8]  Alexander J. Smola,et al.  Learning with kernels , 1998 .

[9]  Shree K. Nayar,et al.  Correlation model for 3D texture , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[10]  Nello Cristianini,et al.  An introduction to Support Vector Machines , 2000 .

[11]  Alan L. Yuille,et al.  Statistical cues for domain specific image segmentation with performance analysis , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[12]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[13]  Andrew Zisserman,et al.  Viewpoint invariant texture matching and wide baseline stereo , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[14]  George Eastman House,et al.  Sparse Bayesian Learning and the Relevance Vector Machine , 2001 .

[15]  Cordelia Schmid,et al.  Constructing models for content-based image retrieval , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[16]  Godfried T. Toussaint,et al.  Proximity Graphs for Nearest Neighbor Decision Rules: Recent Progress , 2002 .

[17]  Hang Joon Kim,et al.  Support Vector Machines for Texture Classification , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[18]  Maria Petrou,et al.  Estimating Lighting Direction and Classifying Textures , 2002, BMVC.

[19]  Maria Petrou,et al.  The Effect of Illuminant Rotation on Texture Filters: Lissajous's Ellipses , 2002, ECCV.

[20]  Andrew Zisserman,et al.  Classifying Images of Materials: Achieving Viewpoint and Illumination Independence , 2002, ECCV.

[21]  William H. Press,et al.  Numerical recipes in C , 2002 .

[22]  Maria Petrou,et al.  Illuminant Rotation Invariant Classification of 3D Surface Textures using Lissajou's Ellepses , 2002 .

[23]  Cordelia Schmid,et al.  Affine-invariant local descriptors and neighborhood statistics for texture recognition , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[24]  Cordelia Schmid,et al.  A sparse texture representation using affine-invariant regions , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[25]  Jitendra Malik,et al.  Contour and Texture Analysis for Image Segmentation , 2001, International Journal of Computer Vision.

[26]  Kristin J. Dana,et al.  3D Texture Recognition Using Bidirectional Feature Histograms , 2004, International Journal of Computer Vision.

[27]  Andrew Zisserman,et al.  Unifying statistical texture classification frameworks , 2004, Image Vis. Comput..

[28]  Jitendra Malik,et al.  Representing and Recognizing the Visual Appearance of Materials using Three-dimensional Textons , 2001, International Journal of Computer Vision.

[29]  Mario Fritz,et al.  On the Significance of Real-World Conditions for Material Classification , 2004, ECCV.