Könyv Mutational and Morphological Analysis Jean-Pierre Aubin

Mutational and Morphological Analysis

Tools for Shape Evolution and Morphogenesis

Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer, Basel
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
38 542 Ft
The analysis, processing, evolution, optimization and/or regulation, and control of shapes and image...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1998
oldal
425
EAN
9780817639358
ISBN
0817639357
Enbook ID
01399150
Súly
835
Méretek
156 x 234 x 25

Teljes leírás

The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory.   §These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth.  However, shapes and images are basically sets, most often not smooth.  J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set.  Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets.  Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets.   §"Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology.   §Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.

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