A Generative Theory Of Shape

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A Generative Theory Of Shape
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Author : Michael Leyton
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-10-26
A Generative Theory Of Shape written by Michael Leyton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-26 with Computers categories.
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.
A Generative Theory Of Shape
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Author : Michael Leyton
language : en
Publisher: Springer
Release Date : 2014-03-12
A Generative Theory Of Shape written by Michael Leyton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Computers categories.
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.
Process Grammar The Basis Of Morphology
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Author : Michael Leyton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-02
Process Grammar The Basis Of Morphology written by Michael Leyton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-02 with Technology & Engineering categories.
Leyton's Process Grammar has been applied by scientists and engineers in many disciplines including medical diagnosis, geology, computer-aided design, meteorology, biological anatomy, neuroscience, chemical engineering, etc. This book demonstrates the following: The Process Grammar invents several entirely new concepts in biological morphology and manufacturing design, and shows that these concepts are fundamentally important. The Process Grammar has process-inference rules that give, to morphological transitions, powerful new causal explanations. Remarkably, the book gives a profound unification of biological morphology and vehicle design. The book invents over 30 new CAD operations that realize fundamentally important functions of a product. A crucial fact is that the Process Grammar is an example of the laws in Leyton's Generative Theory of Shape which give the ability to recover the design intents for which the shape features of a CAD model were created. The book demonstrates that the Process Grammar recovers important design intents in biological morphology and manufacturing design. In large-scale manufacturing systems, the recovery of design intents is important for solving the interoperability problem and product lifecycle management. This book is one of a series of books in Springer that elaborates Leyton's Generative Theory of Shape.
Advances In Geometric Modeling And Processing
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Author : Falai Chen
language : en
Publisher: Springer
Release Date : 2008-04-30
Advances In Geometric Modeling And Processing written by Falai Chen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Computers categories.
GeometricModelingandProcessing(GMP)isabiennialinternationalconference on geometric modeling, simulation and computing, which provides researchers and practitioners with a forum for exchanging new ideas, discussing new app- cations, and presenting new solutions. Previous GMP conferences were held in Pittsburgh (2006), Beijing (2004), Tokyo (2002), and Hong Kong (2000). This, the 5th GMP conference, was held in Hangzhou, one of the most beautiful cities in China. GMP 2008 received 113 paper submissions, covering a wide spectrum of - ometric modeling and processing, such as curves and surfaces, digital geometry processing, geometric feature modeling and recognition, geometric constraint solving, geometric optimization, multiresolution modeling, and applications in computer vision, image processing, scienti?c visualization, robotics and reverse engineering. Each paper was reviewed by at least three members of the program committee andexternalreviewers.Basedonthe recommendations ofthe revi- ers, 34 regular papers were selected for oral presentation, and 17 short papers were selected for poster presentation. All selected papers are included in these proceedings. We thank all authors, external reviewers and program committee members for their great e?ort and contributions, which made this conference a success.
Robotics And Cognitive Approaches To Spatial Mapping
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Author : Margaret E. Jefferies
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-10
Robotics And Cognitive Approaches To Spatial Mapping written by Margaret E. Jefferies and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-10 with Technology & Engineering categories.
This important work is an attempt to synthesize two areas that need to be treated in tandem. The book brings together the fields of robot spatial mapping and cognitive spatial mapping, which share some common core problems. One would expect some cross-fertilization of research between the two areas to have occurred, yet this has begun only recently. There are now signs that some synthesis is happening, so this work is a timely one for students and engineers in robotics.
Geometric Modeling And Processing Gmp 2006
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Author : Myung-Soo Kim
language : en
Publisher: Springer
Release Date : 2006-07-18
Geometric Modeling And Processing Gmp 2006 written by Myung-Soo Kim and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-18 with Computers categories.
This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA, July 2006. The book presents 36 revised full papers and 21 revised short papers addressing current issues in geometric modeling and processing are addressed. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, and more.
Design Computing And Cognition 04
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Author : Asko Riitahuhta
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Design Computing And Cognition 04 written by Asko Riitahuhta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Computers categories.
Artificial intelligence provides an environmentally rich paradigm within which design research based on computational constructions can be carried out. This has been one of the foundations for the developing field called "design computing". Recently, there has been a growing interest in what designers do when they design and how they use computational tools. This forms the basis of a newly emergent field called "design cognition" that draws partly on cognitive science. This new conference series aims to provide a bridge between the two fields of "design computing" and "design cognition". The papers in this volume are from the "First International Conference on Design Computing and Cognition" (DCC'04) held at the Massachusetts Institute of Technology, USA. They represent state-of-the art research and development in design computing and cognition. They are of particular interest to researchers, developers and users of advanced computation in design and those who need to gain a better understanding of designing.
The Oxford Handbook Of Perceptual Organization
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Author : Johan Wagemans
language : en
Publisher: Oxford University Press (UK)
Release Date : 2015
The Oxford Handbook Of Perceptual Organization written by Johan Wagemans and has been published by Oxford University Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Philosophy categories.
Perceptual organization comprises a wide range of processes such as perceptual grouping, figure-ground organization, filling-in, completion, and perceptual switching. The Oxford Handbook of Perceptual Organization provides a broad and extensive review of the current literature, written in an accessible form for scholars and students
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Interface Cultures
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Author : Christa Sommerer
language : en
Publisher: transcript Verlag
Release Date : 2015-07-15
Interface Cultures written by Christa Sommerer and has been published by transcript Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Art categories.
From media art archeology to contemporary interaction design – the term interface culture is based on a vivid and ongoing discourse in the fields of interactive art, interaction design, game design, tangible interfaces, auditory interfaces, fashionable technologies, wearable devices, intelligent ambiences, sensor technologies, telecommunication and new experimental forms of human-machine, human-human and machine-machine interactions and the cultural discourse surrounding them. This book's aim is to give an overview of the current state of interactive art and interface technology as well as an outlook on new forms of hybridization in art, media, scientific research and every-day media applications.