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Digital Geometry by Azriel Rosenfeld, Reinhard Klette

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CHAPTER 15

Morphologic Operations

Mathematic morphology deals with operations that replace the value of a pixel p with the max or min of the values of a set of neighbors of p. This chapter introduces dilation and erosion operations as well as combinations of such operations known as hit-and-miss transforms and opening and closing operations. It illustrates how such operations can be used to simplify a picture (e.g., to remove “noise” from it) or to decompose or “segment” it into parts.

The primary subject of this chapter is the study of operations on a picture that replace the value of each pixel p with the maximum (or the minimum) of the values of a set of neighbors of p. (Such operations were briefly introduced in Section 1.2.12 and were ...

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