The performance of a wavelet-based edge detector is characterized by a set of digital filters that implement the wavelet transform. In this paper we clarify the issue whether an implementation filter can be made symmetric or antisymmetric with respect to the origin while still maintaining the desired spatial localization. It is shown that, by analyzing the asymptotical convergence of the filter coefficients, these two conditions are not compatible if the filter possesses an antisymmetry. However, when the filter is symmetric with respect to the origin, the optimal spatial localization can be obtained.

Date Published: 1 November 1993
PDF: 12 pages
Proc. SPIE 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing, (1 November 1993); doi: 10.1117/12.162054

Published in SPIE Proceedings Vol. 2034:
Mathematical Imaging: Wavelet Applications in Signal and Image Processing
Andrew F. Laine, Editor(s)