Optimal Edge Detection and Digital Picture Processing

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Summary: The All-Time Best Edge Detection Filter & It's Performance
Review: The filter that concentrates the maximum amount of energy in a specified resolution interval around an edge uses a prolate spheroidal wavefunction filter in the frequency domain. This book explores the mathematical theory of this optimum edge detection filter, and derives the discrete analog for use with FFT and DFT transforms from eigenvalue problems, obtaining the discrete prolate functions. The book explores the performance of the filter in the presence of noise and for the case in which the edge is blurred, and compares it's performance to the performance of competetive filters. The first breakthrough in this domain came from Fred Dickey and Sam Shanmugam, who developed the theory for application to continuous-domain spacial filtering problems. The discrete prolate functions and investigations in the digital signal processing domain were obtained by James A. Green.