Key Concepts and Notions for IPA

Jean‐Charles Pinoli · 2014

The purpose of this chapter is to introduce the key concepts and notions of image processing and analysis (IPA). The main dimensions of a simple geometric object are its length, width, depth or thickness, or its diameter. Indeed, this term represents several concepts of which the important ones for Mathematical Imaging are recalled in this chapter. In Mathematics, discrete space is a space in which points are ‘isolated’︁ from each other. The opposite concept, or more semantically correct the dual concept, to discreteness is that of continuity. The notions of scale and resolution play a significant role in physical and Mathematical Imaging. The term domain is mainly used to denote the set in which the gray-tone images will be either defined or will take their values. The first main domain in gray-tone imaging is the spatial domain. An important preliminary concept in image processing and image analysis is the range.

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