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Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
ISBN: 1461215765
Category : Mathematics
Languages : en
Pages : 460
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Book Description
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.
Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
ISBN: 1461215765
Category : Mathematics
Languages : en
Pages : 460
Get Book Here
Book Description
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.
Author: Paul Bourgine
Publisher: Springer Science & Business Media
ISBN: 3642131743
Category : Technology & Engineering
Languages : en
Pages : 353
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Book Description
What are the relations between the shape of a system of cities and that of fish school? Which events should happen in a cell in order that it participates to one of the finger of our hands? How to interpret the shape of a sand dune? This collective book written for the non-specialist addresses these questions and more generally, the fundamental issue of the emergence of forms and patterns in physical and living systems. It is a single book gathering the different aspects of morphogenesis and approaches developed in different disciplines on shape and pattern formation. Relying on the seminal works of D’Arcy Thompson, Alan Turing and René Thom, it confronts major examples like plant growth and shape, intra-cellular organization, evolution of living forms or motifs generated by crystals. A book essential to understand universal principles at work in the shapes and patterns surrounding us but also to avoid spurious analogies.
Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
ISBN: 0817648488
Category : Science
Languages : en
Pages : 474
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Book Description
"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "This book provides a thorough introduction to multivalued or set-valued analysis... The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math
Author: Degif Petros Banksira
Publisher: John Benjamins Publishing
ISBN: 9027298475
Category : Language Arts & Disciplines
Languages : en
Pages : 366
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Book Description
This monograph, which evolved from the first linguistic dissertation to be written on Chaha (an Ethiopian Semitic language), is also the first book to deal exclusively with the phonology and morphology of the language. It is an exhaustive description and analysis, by a native speaker, of the sound patterns of this often misdescribed language and deserves to be the standard reference on the phonology of Chaha. The book presents a vast amount of new data and it unearths some fascinating new generalizations about double linking, geminate devoicing, nasalization of liquid consonants, phonotactic constraints within morphemes, and palatalization and labialization triggered by decomposition of a single back high round vowel. The book also challenges the categorization of Semitic subject affixes into prefix and suffix sets, instead proposing a novel classification in which all prefixes and some suffixes form a set that excludes the remaining suffixes. The generalizations and analyses are significant not only for the study of Chaha and Semitic languages, but also for phonological theory in general.
Author: Jean Serra
Publisher: Springer Science & Business Media
ISBN: 9401110409
Category : Computers
Languages : en
Pages : 391
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Book Description
Mathematical morphology (MM) is a theory for the analysis of spatial structures. It is called morphology since it aims at analysing the shape and form of objects, and it is mathematical in the sense that the analysis is based on set theory, topology, lattice algebra, random functions, etc. MM is not only a theory, but also a powerful image analysis technique. The purpose of the present book is to provide the image analysis community with a snapshot of current theoretical and applied developments of MM. The book consists of forty-five contributions classified by subject. It demonstrates a wide range of topics suited to the morphological approach.
Author:
Publisher: Academic Press
ISBN: 0080586732
Category : Science
Languages : en
Pages : 357
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Book Description
International Review of Cytology
Author: National Institutes of Health (U.S.). Division of Research Grants
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1016
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Book Description
Author: Jose Renato Pinto
Publisher: Frontiers Media SA
ISBN: 2889639215
Category : Science
Languages : en
Pages : 375
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Book Description
Author:
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1350
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Book Description
Author:
Publisher: Academic Press
ISBN: 0080859593
Category : Science
Languages : en
Pages : 507
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Book Description
Mitosis and Meiosis details the wide variety of methods currently used to study how cells divide as yeast and insect spermatocytes, higher plants, and sea urchin zygotes. With chapters covering micromanipulation of chromosomes and making, expressing, and imaging GFP-fusion proteins, this volume contains state-of-the-art "how to" secrets that allow researchers to obtain novel information on the biology of centrosomes and kinetochores and how these organelles interact to form the spindle.Chapters Contain Information On:* How to generate, screen, and study mutants of mitosis in yeast, fungi, and flies* Techniques to best image fluorescent and nonfluorescent tagged dividing cells* The use and action of mitoclastic drugs* How to generate antibodies to mitotic components and inject them into cells* Methods that can also be used to obtain information on cellular processes in nondividing cells
