Co-occurrence-based texture analysis using irregular tessellations

Grey level co-occurrence features are one of the most powerful feature sets available for texture analysis. However, the moving window commonly employed to define the statistical scale at which the co-occurrence matrix is obtained assumes spatial stationarity of the underlying random field. This assumption is inappropriate in the case of natural images and may result in the mixing of different structures at various positions that can yield misleading features, affecting any subsequent analysis or classification. To minimise this problem, we present a method for obtaining co-occurrence features from the irregular tessellation of an image. Such tessellation is considered to be the result of a filtering or pre-segmentation step guaranteeing a certain degree of homogeneity within each tessellation element, and thus offering a more optimal statistical scale at each location in the image. Experimental results and a comparison between features obtained from various irregular and square tessellation elements in a set of natural texture images are presented. They show that features obtained with our method have a similar behaviour to those generated from a traditional square window.

[1]  Luc Van Gool,et al.  Texture analysis Anno 1983 , 1985, Comput. Vis. Graph. Image Process..

[2]  Anil K. Jain,et al.  Texture Segmentation Using Voronoi Polygons , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Anil K. Jain,et al.  Texture Analysis , 2018, Handbook of Image Processing and Computer Vision.

[4]  Pietro Perona,et al.  Boundary Detection in Piecewise Homogeneous Textured Images , 1992, ECCV.

[5]  B. Julesz Textons, the elements of texture perception, and their interactions , 1981, Nature.

[6]  R.M. Haralick,et al.  Statistical and structural approaches to texture , 1979, Proceedings of the IEEE.

[7]  Robert M. Haralick,et al.  Textural Features for Image Classification , 1973, IEEE Trans. Syst. Man Cybern..

[8]  M. M. Fahmy,et al.  Texture segmentation based on a hierarchical Markov random field model , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[9]  Azriel Rosenfeld,et al.  A Comparative Study of Texture Measures for Terrain Classification , 1975, IEEE Transactions on Systems, Man, and Cybernetics.

[10]  M.,et al.  Statistical and Structural Approaches to Texture , 2022 .

[11]  Richard C. Dubes,et al.  Performance evaluation for four classes of textural features , 1992, Pattern Recognit..

[12]  L. Schad,et al.  MR tissue characterization of intracranial tumors by means of texture analysis. , 1993, Magnetic resonance imaging.

[13]  Anil K. Jain,et al.  Texture Analysis: Representation and Matching , 1995, ICIAP.

[14]  Richard W. Conners,et al.  A Theoretical Comparison of Texture Algorithms , 1980, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[15]  J. Besag Spatial Interaction and the Statistical Analysis of Lattice Systems , 1974 .