iv Directional wavelets have orientation selectivity and thus are able to efficiently represent highly anisotropic elements such as line segments and edges. Ridgelet transform is a kind of directional multi-resolution transform and has been successful in many image processing and texture analysis applications. The objective of this research is to develop multi-ridgelet transform by applying multiwavelet transform to the Radon transform so as to attain attractive improvements.By adapting the cardinal orthogonal multiwavelets to the ridgelet transform, it is shown that the proposed cardinal multiridgelet transform (CMRT) possesses cardinality, approximate translation invariance, and approximate rotation invariance simultaneously, whereas no single ridgelet transform can hold all these properties at the same time. These properties are beneficial to image texture analysis. This is demonstrated in three studies of texture analysis applications.Firstly a texture database retrieval study taking a portion of the Brodatz texture album as an example has demonstrated that the CMRT-based texture representation for database retrieval performed better than other directional wavelet methods. Secondly the study of the LCD mura defect detection was based upon the classification of simulated abnormalities with a linear support vector machine classifier, the CMRT-based analysis of defects were shown to provide efficient features for superior detection performance than other competitive methods. Lastly and the most importantly, a study on the prostate cancer tissue image classification was conducted.With the CMRT-based texture extraction, Gaussian kernel support vector machines have been The wavelet coefficients of a signal x(n), (a) signal x(n)=δ(n-60), (b) signal x(n)=δ(n-64), (c) real coefficients of (a) using Daubechies-5 discrete wavelet transform, (d) real coefficients of (b) using Daubechies-5 discrete wavelet transform, (e) magnitude of complex coefficients of (a) using the cardinal multiwavelet transform, (f) magnitude of complex coefficients of (
MULTIRIDGELETS FOR TEXTURE ANALYSIS