WAVELET FILTER - PURE-INTENSITY SPATIAL FILTERS THAT IMPLEMENT WAVELET TRANSFORMS

Saloma [Opt. Lett. 20, 1943 (1995)] proposed the concept of mirrors wi th point-spread functions that exhibit wavelet-related characteristics , We propose novel filters with wavelet point-spread functions. The mi rrors are suggested to reform not only the phases of optical waves, bu t also the filters for amplitude. The transmittance functions of the f ilters, which are real and positive under some conditions, are given. Optical wavelet transforms can easily be made with these filters, and computer simulations for edge and corner extractions are given. (C) 19 96 Optical Society of America