Edge localization in images by symmetrical wavelet transforms

Mingui Sun; Ching-Chung Li; Robert J. Sclabassi

doi:10.1117/12.162054

1 November 1993 Edge localization in images by symmetrical wavelet transforms

Mingui Sun, Ching-Chung Li, Robert J. Sclabassi

Proceedings Volume 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing; (1993) https://doi.org/10.1117/12.162054
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

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.

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Mingui Sun, Ching-Chung Li, and Robert J. Sclabassi "Edge localization in images by symmetrical wavelet transforms", Proc. SPIE 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing, (1 November 1993); https://doi.org/10.1117/12.162054

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KEYWORDS

Wavelet transforms

Fourier transforms

Wavelets

Sensors

Linear filtering

Digital filtering

Edge detection

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