SOLVING THE 2-DIMENSIONAL INVERSE FRACTAL PROBLEM WITH THE WAVELET TRANSFORM

The methodology of the solution to the inverse fractal problem with th e wavelet transform(1,2) is extended to two-dimensional self-affine fu nctions. Similar to the one-dimensional case, the two-dimensional wave let maxima bifurcation representation used is derived from the continu ous wavelet decomposition. It possesses translational and scale invari ance necessary to, reveal the invariance of the self-affine fractal. A s many fractals are naturally defined on two-dimensions, this extensio n constitutes an important step towards solving the related inverse fr actal problem for a variety of fractal types.