Mutational and Morphological Analysis

Name: Mutational and Morphological Analysis
Brand: Springer, Basel
SKU: 9780817639358
Price: 582.96 RON
Availability: InStock

Tools for Shape Evolution and Morphogenesis

Autor: Jean-Pierre Aubin

Limbă:

Legare: Copertă tare

Editura: Springer, Basel

Disponibilitate: În depozitul extern în cantități mici

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582.96 lei

The analysis, processing, evolution, optimization and/or regulation, and control of shapes and image...

Informații despre carte

Autor

Jean-Pierre Aubin

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1998

Pagini

425

EAN

9780817639358

ISBN

0817639357

Enbook ID

01399150

Editura

Springer, Basel

Greutate

835

Dimensiuni

156 x 234 x 25

Descriere completă

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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Mutational and Morphological Analysis

Tools for Shape Evolution and Morphogenesis

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