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Optical Engineering

Digital filtering of images using the discrete sine or cosine transform
Author(s): Stephen A. Martucci
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Paper Abstract

The discrete sine and cosine transforms (DSTs and DCTs) are powerful tools for image compression. They would be even more useful if they could be used to perform convolution. As we have recently shown, these transforms do possess a convolution-multiplication property and therefore can be used to perform digital filtering. The convolution is a special type, called symmetric convolution. This paper reviews the concepts of symmetric convolution and then elaborates on how to use the operation, and thereby DSTs and DCTs, to implement digital filters for images. An indication of how to compute the transforms and what is the complexity of their use is also given.

Paper Details

Date Published: 1 January 1996
PDF: 9 pages
Opt. Eng. 35(1) doi: 10.1117/1.600882
Published in: Optical Engineering Volume 35, Issue 1
Show Author Affiliations
Stephen A. Martucci, David Sarnoff Research Ctr. (United States)


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