Correction To "rotation And Gray-scale Transform-invariant Texture Classification Using Spiral Resampling, Subband Decomposition, And Hidden Markov Model"

This paper proposes a new texture classification algorithm that is invariant to rotation and gray-scale transformation. First, we convert two-dimensional (2-D) texture images to one-dimensional (1-D) signals by spiral resampling. Then, we use a quadrature mirror filter (QMF) bank to decompose sampled signals into subbands. In each band, we take high-order autocorrelation functions as features. Features in different bands, which form a vector sequence, are then modeled as a hidden Markov model (BMM). During classification, the unknown texture is matched against all the models and the best match is taken as the classification result. Simulations showed that the highest correct classification rate for 16 kinds of texture was 95.14%.

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

[2]  Phil Brodatz,et al.  Textures: A Photographic Album for Artists and Designers , 1966 .

[3]  Prabhakar S. Naidu,et al.  Modern spectrum analysis of time series , 1995 .

[4]  A. Kundu,et al.  Rotation and Gray Scale Transform Invariant Texture Identification using Wavelet Decomposition and Hidden Markov Model , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  K. Arun,et al.  State-space and singular-value decomposition-based approximation methods for the harmonic retrieval problem , 1983 .

[6]  Fang-Hsuan Cheng,et al.  Parallel algorithm for corner finding on digital curves , 1988, Pattern Recognit. Lett..

[7]  Azriel Rosenfeld,et al.  Gray-level corner detection , 1982, Pattern Recognit. Lett..

[8]  Chin-Hsing Chen,et al.  Wavelet based corner detection , 1993, Pattern Recognit..

[9]  R. Kumaresan,et al.  Singular value decomposition and improved frequency estimation using linear prediction , 1982 .

[10]  Rama Chellappa,et al.  Classification of textures using Gaussian Markov random fields , 1985, IEEE Trans. Acoust. Speech Signal Process..

[11]  Wilson S. Geisler,et al.  Multichannel Texture Analysis Using Localized Spatial Filters , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Peyman Milanfar,et al.  Reconstructing polygons from moments with connections to array processing , 1995, IEEE Trans. Signal Process..

[13]  Peter de Souza,et al.  Texture recognition via autoregression , 1982, Pattern Recognit..

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

[15]  James W. Modestino,et al.  A Maximum Likelihood Approach to Texture Classification , 1982, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  Michael Unser,et al.  Sum and Difference Histograms for Texture Classification , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[17]  Béla Julesz,et al.  Visual Pattern Discrimination , 1962, IRE Trans. Inf. Theory.

[18]  Michael Unser,et al.  Multiresolution Feature Extraction and Selection for Texture Segmentation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[19]  G. Medioni,et al.  Corner detection and curve representation using cubic B-splines , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[20]  P. Vaidyanathan Quadrature mirror filter banks, M-band extensions and perfect-reconstruction techniques , 1987, IEEE ASSP Magazine.

[21]  Biing-Hwang Juang,et al.  The segmental K-means algorithm for estimating parameters of hidden Markov models , 1990, IEEE Trans. Acoust. Speech Signal Process..

[22]  Larry S. Davis,et al.  Texture Analysis Using Generalized Co-Occurrence Matrices , 1979, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[23]  Theodosios Pavlidis,et al.  Segmentation by Texture Using Correlation , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.

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

[25]  F. S. Cohen,et al.  Classification of Rotated and Scaled Textured Images Using Gaussian Markov Random Field Models , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[26]  Jia-Lin Chen,et al.  Texture classification using QMF bank-based subband decomposition , 1992, CVGIP Graph. Model. Image Process..

[27]  C.-C. Jay Kuo,et al.  Texture analysis and classification with tree-structured wavelet transform , 1993, IEEE Trans. Image Process..

[28]  Olivier D. Faugeras,et al.  Decorrelation Methods of Texture Feature Extraction , 1980, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[29]  P. Cohen,et al.  Classification of natural textures by means of two-dimensional orthogonal masks , 1989, IEEE Trans. Acoust. Speech Signal Process..

[30]  William E. Higgins,et al.  Texture Segmentation using 2-D Gabor Elementary Functions , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[31]  Mehrdad Soumekh Reconstruction and sampling constraints for spiral data [image processing] , 1989, IEEE Trans. Acoust. Speech Signal Process..

[32]  Mubarak Shah,et al.  Optimal Corner Detector , 1988, [1988 Proceedings] Second International Conference on Computer Vision.

[33]  Rangasami L. Kashyap,et al.  A Model-Based Method for Rotation Invariant Texture Classification , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

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

[35]  M. Unser Local linear transforms for texture measurements , 1986 .

[36]  Anil K. Jain,et al.  Markov Random Field Texture Models , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[37]  L. Rabiner,et al.  An introduction to hidden Markov models , 1986, IEEE ASSP Magazine.

[38]  Peyman Milanfar,et al.  Reconstructing Binary Polygonal Objects from Projections: A Statistical View , 1994, CVGIP Graph. Model. Image Process..

[39]  Haluk Derin,et al.  Modeling and Segmentation of Noisy and Textured Images Using Gibbs Random Fields , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[40]  Kenneth I. Laws,et al.  Rapid Texture Identification , 1980, Optics & Photonics.

[41]  Alexander A. Sawchuk,et al.  Supervised Textured Image Segmentation Using Feature Smoothing and Probabilistic Relaxation Techniques , 1989, IEEE Trans. Pattern Anal. Mach. Intell..