Texture Element Extraction via Cepstral Filtering in the Radon Domain

Abstract

We present a procedure based on one-dimensional cepstral filters in the Radon domain to extract texture elements or textons from images with (quasi-) periodic or ordered texture. With this approach, no assumption is required on the homogeneity of the texton. By applying the cepstral filter in the Radon domain, the difficulties associated with two-dimensional cepstral analysis and phase unwrapping are obviated. The necessity of a weighting function as a preprocessing step and details of wavelet extraction in the Radon domain are discussed. The method should facilitate structural analysis of ordered texture and the constituent textons.

Indexing terms:

• Texton extraction
• Complex cepstrum
• Cepstral analysis
• Homomorphic filtering
• Texture analysis
• Image processing
• Radon domain analysis