Digital filtering of images using the discrete sine or cosine transform

Stephen A. Martucci

doi:10.1117/12.185891

16 September 1994 Digital filtering of images using the discrete sine or cosine transform

Stephen A. Martucci

Proceedings Volume 2308, Visual Communications and Image Processing '94; (1994) https://doi.org/10.1117/12.185891
Event: Visual Communications and Image Processing '94, 1994, Chicago, IL, United States

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 then elaborates on how to use the operation, and therefore 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.

Citation Download Citation

Stephen A. Martucci "Digital filtering of images using the discrete sine or cosine transform", Proc. SPIE 2308, Visual Communications and Image Processing '94, (16 September 1994); https://doi.org/10.1117/12.185891

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