<電子ブック>
Mutational and Morphological Analysis : Tools for Shape Evolution and Morphogenesis / by Jean-Pierre Aubin
(Systems & Control: Foundations & Applications. ISSN:23249757)
版 | 1st ed. 1999. |
---|---|
出版者 | (Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser) |
出版年 | 1999 |
本文言語 | 英語 |
大きさ | XXXVII, 425 p : online resource |
著者標目 | *Aubin, Jean-Pierre author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Mathematical logic LCSH:Mathematics FREE:Analysis FREE:Mathematical Logic and Foundations FREE:Applications of Mathematics |
一般注記 | I Mutational Analysis in Metric Spaces -- 1 Mutational Equations -- 2 Mutational Analysis -- II Morphological and Set-Valued Analysis -- 3 Morphological Spaces -- 4 Morphological Dynamics -- 5 Set-Valued Analysis -- III Geometrical and Algebraic Morphology -- 6 Morphological Geometry -- 7 Morphological Algebra -- IV Appendix -- 8 Differential Inclusions: A Tool-Box -- Biblographical Comments 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-1576-9 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781461215769 |
|
電子リソース |
|
EB00227611 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000105340 |
ISBN | 9781461215769 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降