Application of high-speed numerical approximation convolution by a filter for image processing purposes

摘要

Hierarchical signal a level l with a filter f l A computer-implemented method for applying a numerical approximation of the convolution of the image I has been presented by this method , a for each level of the hierarchy l l The kernel h 1 By applying the convolution between , Con ball - tion has been a l And the kernel h 1 For by the down-sampling results to generate a forward transformation , and the kernel h for each level of the hierarchy l 2 Applying the convolution between the upper sampled forward converted , a l By combining the results by a convolution kernel g, to generate a backward transform , combining the forward transform on the rear conversion is an approximation of the convolution between a and f The resulting allowed to , here in the kernel h 1 , H 1 , And g the method is optimized filter kernel f. [ Selection Figure ] Figure 2