16 September 1994 Digital filtering of images using the discrete sine or cosine transform
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Proceedings Volume 2308, Visual Communications and Image Processing '94; (1994); doi: 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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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); doi: 10.1117/12.185891; https://doi.org/10.1117/12.185891
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KEYWORDS
Convolution

Surface plasmons

Digital filtering

Optical filters

Image filtering

Finite impulse response filters

Image processing

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