Both image geometry and morphological filtering are important aspects of electronic image processing. These topics have been combined into one chapter because they both deal with the geometry of an image and of objects within it. Through the use of image geometry, the size and orientation of an image can be changed. For example, an inverted and upside down image can be reoriented so that it can be viewed properly. Morphological filters on the other hand can change the form and structure of objects within an image. For example, the sharp corners of a rectangular object can be rounded, and small circular regions can be removed from an image while preserving the larger circular regions. This chapter begins with the discussion of the spatial interpolation of pixels within an image that is required to implement several of the image geometry operations presented in Section 7.2. The concepts behind binary morphology are then introduced and several binary example images are given, illustrating the benefits of binary morphological filtering. Finally, the concepts of binary morphological filters are expanded to cover grayscale morphological filters.
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