An Electronic Primer On Geometric Constraint Solving

"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.

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.

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.

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.

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.

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.

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.

Solving Geometric Constraints records and explains the formal basis for graphical analysis techniques that have been used for decades in engineering disciplines. It describes a novel computer implementation of a 3D graphical analysis method - degrees of freedom analysis - for solving geometric constraint problems of the type encountered in the kinematic analysis of mechanical linkages, providing the best computational bounds yet achieved for this class of problems. The technique allows for the design of algorithms that provide signification speed increases and will foster the development of interactive software tools for the simulation, optimization, and design of complex mechanical devices as well as provide leverage in other geometric domains.