Mutational and Morphological Analysis: Tools for Shape Evolution and Morphogenesis (Systems & Control: Foundations and Applications) - Hardcover
Book 10 of 55: Systems & Control: Foundations & Applications
Synopsis
The analysis, regulation and control of shapes has become an important part of the solutions to many problems in mathematics and engineering, and the physical, biological and economic sciences. This text covers such areas as mutatational analysis of metric spaces, and morphological geometry.
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Review
"This monograph collects various tools needed for the analysis of shape evolution, viability problems, image processing, visual control, biological morphogenesis, wave-front propagation, etc. It consists of four parts:1 -- mutational analysis (a sort of calculus in metric spaces); 2 -- morphological and set-valued analysis; 3 -- geometrical and algebraic morphology; 4 -- differential inclusions (an outline only). The large list of references contains 472 items, moreover, exhaustive bibliographical comments are provided. The concept of mutational space explored in the first two chapters is a framework for developing a sort of differential calculus for maps between general metric spaces. The third chapter contains a description of mutational structures in hyperspaces, especially in the space of nonvoid compact subsets of Euclidean spaces... The present monograph offers a structure that embraces and integrates various approaches to shape evolution and may be useful for...scientists working with images arising in engineering, interval analysis, physics, biological morphogenesis, population dynamics and dynamic economic theory." ―Zentralblatt Math
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