Multi-edge extraction and image transform base on multiwavelets theory

The problem of many current investigations in mathematical imaging is to find the optimal representation to perform specific enhancements by extracting the relevant information contained in an empirical signal. After a brief review of some classical methods, the edge extraction and image transform is presented using the recent development of multiwavelet theory. The method is based on the ideas involving scale-space filtering in the field of human vision and on more recent developments in the theory of multiwavelets. In the end three descriptive parameters are determined for each pixel in the image from a modulus maxima line. These three edge-parameters make it possible to select edges according to the largest distance at which they are still visible, their strength, and their sharpness. An implementation on images is also discussed