Edge detection using a complex wavelet

Richard A. Hevenor; Eugene A. Margerum

doi:10.1117/12.170089

15 March 1994 Edge detection using a complex wavelet

Richard A. Hevenor, Eugene A. Margerum

Proceedings Volume 2242, Wavelet Applications; (1994) https://doi.org/10.1117/12.170089
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

A complex wavelet is used in the continuous wavelet transform to obtain edges from a digital image in two orthogonal directions. The square root of the sum of the squares of the real and imaginary parts of the wavelet transform are used to find the edges in an arbitrary direction. Theoretical models are derived for the cases of a step edge and ramp edge. The computer implementation of the wavelet edge detector involves the creation of two masks; one for the real part and one for the imaginary part. An expression is derived for the size of the edge masks using the inflection points of a curve derived from the wavelet. Finally, the edge detector is applied to two synthetic aperture radar images, and the resulting images are shown.

Citation Download Citation

Richard A. Hevenor and Eugene A. Margerum "Edge detection using a complex wavelet", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170089

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