Items related to A Generative Theory of Shape (Lecture Notes in Computer...
Synopsis
The purpose of the book is to develop a generative theory of shape that has two properties regarded as fundamental to intelligence - maximizing transfer of structure and maximizing recoverability of the generative operations. These two properties are particularly important in the representation of complex shape - which is the main concern of the book. The primary goal of the theory is the conversion of complexity into understandability. For this purpose, a mathematical theory is presented of how understandability is created in a structure. This is achieved by developing a group-theoretic approach to formalizing transfer and recoverability. To handle complex shape, a new class of groups is developed, called unfolding groups. These unfold structure from a maximally collapsed version of itself. A principal aspect of the theory is that it develops a group-theoretic formalization of major object-oriented concepts such as inheritance. The result is a mathematical language that brings interoperability into the very foundations of geometry.
The book gives extensive applications of the theory to CAD/CAM, human and machine vision, robotics, software engineering, and physics. In CAD, lengthy chapters are presented on mechanical and architectural design. For example, using the theory of unfolding groups, the book works in detail through the main stages of mechanical CAD/CAM: part-design, assembly and machining. And within part-design, an extensive algebraic analysis is given of sketching, alignment, dimensioning, resolution, editing, sweeping, feature-addition, and intent-management. In robotics, several levels of analysis are developed for manipulator structure and kinematics. In software, a new theory is given of the principal factors such as text and class structure, object creation and modification, as well as inheritance and hierarchy prediction. In physics, a new theory is given of the conservation laws, and motion decomposition theorems in classical and quantum mechanics.
"synopsis" may belong to another edition of this title.
Review
From the reviews:
"This book is intended for a general scientifically interested audience a ] . The author develops a generative theory of shape along two principles fundamental to intelligence a" maximization of transfer and maximization of recoverability. He proceeds by using an algebraically flavoured approach characterizing features as symmetry groups while the addition of features corresponds to group extension. a ] The generative theory is used in several application areas like visual perception, robotics and computer-aided geometric design." (GA1/4nter Landsman, Zentralblatt MATH, Vol. 1012, 2003)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2001
- ISBN 10 3540427171
- ISBN 13 9783540427179
- BindingPaperback
- LanguageEnglish
- Number of pages564
Search results for A Generative Theory of Shape (Lecture Notes in Computer...
Stock Image
A Generative Theory of Shape
Seller: Daedalus Books, Portland, OR, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. Light edge wear. ; Lecture Notes in Computer Science; 1.18 x 9.13 x 6.14 Inches; 554 pages. Seller Inventory # 194321
Quantity: 1 available
Stock Image
A Generative Theory of Shape
Published by
Springer Berlin / Heidelberg, 2001
ISBN 10: 3540427171
ISBN 13: 9783540427179
Used
Softcover
Seller: Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. Used book that is in excellent condition. May show signs of wear or have minor defects. Seller Inventory # 48366242-75
Quantity: 1 available
Seller Image
A Generative Theory of Shape Lecture Notes in Computer Science, 2145
Seller: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Germany
Seller rating 5 out of 5 stars
Broschiert. Condition: Gut. 554 Seiten; Das hier angebotene Buch stammt aus einer teilaufgelösten Bibliothek und kann die entsprechenden Kennzeichnungen aufweisen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 840. Seller Inventory # 2194443
Quantity: 1 available
Stock Image
A Generative Theory of Shape (Lecture Notes in Computer Science, 2145)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar3113020167247
Quantity: Over 20 available
Stock Image
A Generative Theory of Shape (Lecture Notes in Computer Science, 2145)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9783540427179
Quantity: Over 20 available
Stock Image
A Generative Theory of Shape (Lecture Notes in Computer Science, 2145)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783540427179_new
Quantity: Over 20 available
Seller Image
A Generative Theory of Shape
Published by
Springer Berlin Heidelberg Okt 2001, 2001
ISBN 10: 3540427171
ISBN 13: 9783540427179
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence -(1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets. We shall show that, if generativity satis es these two basic criteria of - telligence, then it has a powerful mathematical structure and considerable applicability to the computational disciplines. The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability. The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically. (1) Ma- mization of transfer will be formulated in terms of wreath products. Wreath products are groups in which there is an upper subgroup (which we will call a control group) that transfers a lower subgroup (which we will call a ber group) onto copies of itself. (2) maximization of recoverability is insured when the control group is symmetry-breaking with respect to the ber group. 576 pp. Englisch. Seller Inventory # 9783540427179
Quantity: 2 available
Seller Image
A Generative Theory of Shape
Published by
Springer Berlin Heidelberg, 2001
ISBN 10: 3540427171
ISBN 13: 9783540427179
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence -(1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets. We shall show that, if generativity satis es these two basic criteria of - telligence, then it has a powerful mathematical structure and considerable applicability to the computational disciplines. The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability. The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically. (1) Ma- mization of transfer will be formulated in terms of wreath products. Wreath products are groups in which there is an upper subgroup (which we will call a control group) that transfers a lower subgroup (which we will call a ber group) onto copies of itself. (2) maximization of recoverability is insured when the control group is symmetry-breaking with respect to the ber group. Seller Inventory # 9783540427179
Quantity: 1 available
Seller Image
A Generative Theory of Shape
Published by
Springer Berlin Heidelberg, 2001
ISBN 10: 3540427171
ISBN 13: 9783540427179
New
Softcover
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 4890031
Quantity: Over 20 available
Stock Image
A Generative Theory of Shape (Lecture Notes in Computer Science, 2145)
Seller: BennettBooksLtd, North Las Vegas, NV, U.S.A.
Seller rating 5 out of 5 stars
paperback. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # SL-3540427171
Quantity: 1 available