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The Asymptotic Optimal Frequency Domain Filter for Edge Detection

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1 Author(s)
Lunscher, W.H.H.J. ; Departrment of Electrical Engineering, University of British Columbia, Vancouver, B.C., Canada V6T 1Z2.

In an earlier paper by Shanmugam, Dickey, and Green, an edge detection filter was derived which maximized the energy within a specified interval about an edge feature. The initial expression of this filter involved a prolate spheroidal wave function. However, a careful analysis of the application of an asymptotic approximation to this function uncovered a major dimensional error. The corrected derivation of the asymptotic optimal filter forms the subject of this paper. To verify the results, the filter found is compared to a similar filter developed independently by Marr and Hildreth.

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:PAMI-5 ,  Issue: 6 )