Electronic Primer on Geometric Constraint Solving PDF Download
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Author:
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Category :
Languages : en
Pages :
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Book Description
Presents an online resource on geometric constraint solving. Includes information on theoretical foundations for implementation issues. Provides access to a tutorial on using the two-dimensional constraint solver. Contains a bibliography.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Presents an online resource on geometric constraint solving. Includes information on theoretical foundations for implementation issues. Provides access to a tutorial on using the two-dimensional constraint solver. Contains a bibliography.
Author:
Publisher:
ISBN:
Category : Computer-aided design
Languages : en
Pages :
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Book Description
"Geometric constraint solving has applications in many different fields, such as molecular modeling, Computer-Aided Design, tolerance analysis, and geometric theorem proving. In this primer, a solution to the problem of finding a configuration for a set of geometric objects which satisfies a given set of constraints between the geometric elements is detailed."--Home page.
Author: Michael Leyton
Publisher: Springer
ISBN: 3540454888
Category : Computers
Languages : en
Pages : 559
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Book Description
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.
Author: Beat Brüderlin
Publisher: Springer Science & Business Media
ISBN: 3642588980
Category : Computers
Languages : en
Pages : 306
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Book Description
Geometric constraint programming increases flexibility in CAD design specifications and leads to new conceptual design paradigms. This volume features a collection of work by leading researchers developing the various aspects of constraint-based product modeling. In an introductory chapter the role of constraints in CAD systems of the future and their implications for the STEP data exchange format are discussed. The main part of the book deals with the application of constraints to conceptual and collaborative design, as well as state-of-the-art mathematical and algorithmic methods for constraint solving.
Author: Edward J. Jr. Renehan
Publisher: Springer Science & Business Media
ISBN: 1475764804
Category : Computers
Languages : en
Pages : 381
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Book Description
The World Wide Web is loaded with science and science-related material. For everyone who wants to learn more about this amazing resource, Ed Renehan has compiled this fun and informative guide to what's out there, what's interesting, what's new and who's doing it. Whether your interest is in artificial intelligence, Hubble Space Telescope images, or the latest dinosaur findings, the best sources and how to reach them are right here.
Author: Jean-Daniel Boissonnat
Publisher: Springer Science & Business Media
ISBN: 9783540404767
Category : Technology & Engineering
Languages : en
Pages : 600
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Book Description
Selected contributions to the Workshop WAFR 2002, held December 15-17, 2002, Nice, France. This fifth biannual Workshop on Algorithmic Foundations of Robotics focuses on algorithmic issues related to robotics and automation. The design and analysis of robot algorithms raises fundamental questions in computer science, computational geometry, mechanical modeling, operations research, control theory, and associated fields. The highly selective program highlights significant new results such as algorithmic models and complexity bounds. The validation of algorithms, design concepts, or techniques is the common thread running through this focused collection.
Author: Richard G. Mathieu
Publisher: Irwin Professional Publishing
ISBN:
Category : Business & Economics
Languages : en
Pages : 488
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Book Description
Today's rapidly changing marketplace can seem like a jungle for many professionals. Engineering & Management Press offers the books needed to navigate through the wilderness of business techniques and acronyms. EMP's titles provide practical information and proven business methods for most corporate and industrial environments. Our titles cover crucial, timely topics of importance to businesses and managers today -- management, productivity improvement, quality, and related issues.Manufacturing And The Internet is for anyone involved in the study or practice of manufacturing interested in using the Internet as a resource. Readers will learn how to access information on all aspects of manufacturing: computer integrated manufacturing, agile manufacturing, manufacturing strategy, total quality management, statistical quality control, robotics, production scheduling, CAD/CAM, concurrent engineering, and business process engineering.This book provides manufacturing professionals with the information they need for decision-making, as well as tips and suggestions for improving Internet effectiveness. Shortcuts and helpful hints in special sections help both novices and pros alike with enhanced Internet navigation.
Author: Kenneth Steiglitz
Publisher: Courier Dover Publications
ISBN: 0486845834
Category : Computers
Languages : en
Pages : 323
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Book Description
Informal, easy-to-understand introduction covers phasors and tuning forks, wave equation, sampling and quantizing, feedforward and feedback filters, comb and string filters, periodic sounds, transform methods, and filter design. 1996 edition.
Author: Glenn A. Kramer
Publisher:
ISBN:
Category : Artificial intelligence
Languages : en
Pages : 7
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Book Description
This sequence of actions is used metaphorically to solve, in a maximally decoupled form, the equations resulting from an algebraic representation of the problem. Degrees of freedom analysis has significant computational advantages over conventional algebraic approaches. The utility of the technique is demonstrated with a program that assembles and kinematically simulates mechanical linkages."
Author: Marta R. Hidalgo García
Publisher:
ISBN:
Category :
Languages : en
Pages : 184
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Book Description
Geometric constraint solving is a central topic in many fields such as parametric solid modeling, computer-aided design or chemical molecular docking. A geometric constraint problem consists of a set geometric objects on which a set of constraints is defined. Solving the geometric constraint problem means finding a placement for the geometric elements with respect to each other such that the set of constraints holds. Clearly, the primary goal of geometric constraint solving is to define rigid shapes. However an interesting problem arises when we ask whether allowing parameter constraint values to change with time makes sense. The answer is in the positive. Assuming a continuous change in the variant parameters, the result of the geometric constraint solving with variant parameters would result in the generation of families of different shapes built on top of the same geometric elements but governed by a fixed set of constraints. Considering the problem where several parameters change simultaneously would be a great accomplishment. However the potential combinatorial complexity make us to consider problems with just one variant parameter. Elaborating on work from other authors, we develop a new algorithm based on a new tool we have called h-graphs that properly solves the geometric constraint solving problem with one variant parameter. We offer a complete proof for the soundness of the approach which was missing in the original work. Dynamic geometry is a computer-based technology developed to teach geometry at secondary school, which provides the users with tools to define geometric constructions along with interaction tools such as drag-and-drop. The goal of the system is to show in the user's screen how the geometry changes in real time as the user interacts with the system. It is argued that this kind of interaction fosters students interest in experimenting and checking their ideas. The most important drawback of dynamic geometry is that it is the user who must know how the geometric problem is actually solved. Based on the fact that current user-computer interaction technology basically allows the user to drag just one geometric element at a time, we have developed a new dynamic geometry approach based on two ideas: 1) the underlying problem is just a geometric constraint problem with one variant parameter, which can be different for each drag-and-drop operation, and, 2) the burden of solving the geometric problem is left to the geometric constraint solver. Two classic and interesting problems in many computational models are the reachability and the tracing problems. Reachability consists in deciding whether a certain state of the system can be reached from a given initial state following a set of allowed transformations. This problem is paramount in many fields such as robotics, path finding, path planing, Petri Nets, etc. When translated to dynamic geometry two specific problems arise: 1) when intersecting geometric elements were at least one of them has degree two or higher, the solution is not unique and, 2) for given values assigned to constraint parameters, it may well be the case that the geometric problem is not realizable. For example computing the intersection of two parallel lines. Within our geometric constraint-based dynamic geometry system we have developed an specific approach that solves both the reachability and the tracing problems by properly applying tools from dynamic systems theory. Finally we consider Henneberg graphs, Laman graphs and tree-decomposable graphs which are fundamental tools in geometric constraint solving and its applications. We study which relationships can be established between them and show the conditions under which Henneberg constructions preserve graph tree-decomposability. Then we develop an algorithm to automatically generate tree-decomposable Laman graphs of a given order using Henneberg construction steps.
