Linear Operators

Among the most useful tools in the image-processing repertoire are those that generate a new pixel value based on the relationship between the value of a given pixel and the values of those that surround it. This chapter and the next describe image processing with "neighborhood" operations—that is, processes that involve the pixel's immediate (and not-so-immediate) neighbors.

This chapter focuses mainly on convolutions—operations in which new pixel values result from linear combinations (i.e., addition and multiplication) of a pixel with its neighbors. Chapter 15 deals with neighborhood operations in which the new values result from nonlinear operations (such as sorting) on the neighboring pixels.

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