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The present study concerns the phase information in the complex image resulting from the application of frequency- and-orientation-selective Gabor filters. The image phase is made up of a global linear part and a local phase. A strong variation of the phase occurs in the image when a boundary between two different regions is crossed. Two methods using local phase information for segmenting textures have been recently advanced. In the first one, the local phase is obtained by unwrapping the phase of the filtered image and by computing the global linear component. The second method derives the local phase from the filtered image without a phase unwrapping. Both methods are rapid but cannot be implemented with filters other than horizontal and vertical ones. Another method, which uses the phase-gradient information and allows filtering in any direction, achieves a more accurate segmentation. This new method does not require phase unwrapping since the phase gradient is obtained from the convolution of the input image with the filter gradient. We propose a method, both robust and rapid, which is a combination of the first and the third approaches, allowing use of filters with any orientation.

Texture segmentation using local phase differences in Gabor filtered images