APPLYING RAPID NUMERICAL APPROXIMATION OF CONVOLUTIONS WITH FILTERS FOR IMAGE PROCESSING PURPOSES

摘要

IllflhIllhIh2 g0hIhIgfA computer implemented method for A computer implemented method for applying a numerical approximation of a convolution of image as represented by hierarchical signals a of level with filter said method including the steps of: generating a forward transformation by applying a convolution between aand kernel or each level of hierarchy and by down sampling the result of convolved aand ; generating a backward transformation by applying for each level of hierarchy l a convolution between kernel and an up sampled forward transformation and combining the result with a convolution of al with kernel ; and combining the forward transformation with the backward transformation to yield being an approximation of a convolution between a and f wherein kernels and are optimized kernels of filter .