In this paper, a new active contour model called self-affine snake is proposed which integrates the self-affine mapping system (SAMS), wavelet transform, and snake model. It inherits wide capture range from the wavelet transform, both accurate fit to weak edges and effective reconstruction of boundary concavities from SAMS, and topological consistency from the snake model while avoiding their weak points. In self-affine snake, first, a force vector is computed for every pixel in each wavelet LL matrix using SAMS with disk domains. Then the obtained force fields of different wavelet scales are effectively combined to make the self-affine force filed. Finally, the snake is deformed using the resultant forces based on the snake dynamic formulation. Experiment results demonstrate good performance for self-affine snake compared to the balloon for a number of synthetic and biomedical benchmark images.

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