Decomposition of arclike convolution operators into 3 x 3 operators

David C. Wilson; Edward A. Geiser; Jun-Hua Li

doi:10.1117/12.60662

1 June 1992 Decomposition of arc-like convolution operators into 3 x 3 operators

David C. Wilson, Edward A. Geiser, Jun-Hua Li

Proceedings Volume 1769, Image Algebra and Morphological Image Processing III; (1992) https://doi.org/10.1117/12.60662
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

While the Fast Fourier Transform (FFT) is frequently used to efficiently implement a shift invariant convolution operator, it is of little use in implementing a variant operator which is to be evaluated at only selected locations in the image. The analysis of efficient implementation of a special class of circular-arc convolution operators found useful in the analysis of echocardiographic images leads to the observation that a much wider class of arc-like operators can also be approximated by the sum of a small number of invariant operators. While the immediate application is analyzed for the 3 X 3 computing environment, the techniques are general.

Citation Download Citation

David C. Wilson, Edward A. Geiser, and Jun-Hua Li "Decomposition of arc-like convolution operators into 3 x 3 operators", Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); https://doi.org/10.1117/12.60662

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