4 Discrete Transforms
4.1 Introduction and Overview
A transform is simply another term for a mathematical mapping process. Most of the transforms discussed in this chapter are used in image analysis and processing to provide information regarding the rate at which the gray levels change within an image – the spatial frequency or sequency. Additionally, the wavelet and the Haar transforms are unique in that they retain both frequency and spatial information. One transform that is not frequency related, the principal components transform (PCT), is included here and its primary purpose is to decorrelate the data between image bands.
In general, a transform maps image data into a different mathematical space via a ...
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