An Operational Approach for Geometric Constraint Satisfaction

An Operational Approach for Geometric Constraint Satisfaction PDF Author: Bin Wang
Publisher:
ISBN:
Category : Constraints (Artificial intelligence)
Languages : en
Pages : 318

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An Operational Approach for Geometric Constraint Satisfaction

An Operational Approach for Geometric Constraint Satisfaction PDF Author: Bin Wang
Publisher:
ISBN:
Category : Constraints (Artificial intelligence)
Languages : en
Pages : 318

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Book Description


Geometric Constraint Solving and Applications

Geometric Constraint Solving and Applications PDF 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.

Interactive Geometric Constraint Satisfaction

Interactive Geometric Constraint Satisfaction PDF Author: Remco Coenraad Veltkamp
Publisher:
ISBN:
Category : Computer-aided design
Languages : en
Pages : 24

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Book Description
Abstract: "This paper presents a new incremental approach to geometric constraint satisfaction that is tailored to interactive applications. Our approach categorizes solutions into geometric primitives representing a range of solutions with uniform geometric characteristics. This scheme keeps intermediate solutions in the geometric domain, providing geometrically meaningful feedback to the user and the ability to interlace the interpretation of previous and new geometric constraints on the same high level of abstraction. This approach preserves the declarative semantics of constraints and leads to a number of advantages, including graceful handling of underconstrained specifications, the natural processing of expressions of both conjunctive and disjunctive constraints, the ability to perform satisfaction locally and incrementally, and support for constraint inference and geometric reasoning."

Solving Geometric Constraint Systems

Solving Geometric Constraint Systems PDF Author: Glenn A. Kramer
Publisher: MIT Press
ISBN: 9780262111645
Category : Computers
Languages : en
Pages : 314

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Book Description
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.

Object-Oriented Programming for Graphics

Object-Oriented Programming for Graphics PDF Author: Chris Laffra
Publisher: Springer Science & Business Media
ISBN: 3642791921
Category : Computers
Languages : en
Pages : 285

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Book Description
Object-oriented concepts are particularly applicable to computer graphics in its broadest sense, including interaction, image synthesis, animation, and computer-aided design. The use of object-oriented techniques in computer graphics is a widely acknowledged way of dealing with the complexities encountered in graphics systems. But the field of object-oriented graphics (OOG) is still young and full of problems. This book reports on latest advances in this field and discusses how the discipline of OOG is being explored and developed. The topics covered include object-oriented constraint programming, object-oriented modeling of graphics applications to handle complexity, object-oriented techniques for developing user interfaces, and 3D modeling and rendering.

Constraint-based Reasoning

Constraint-based Reasoning PDF Author: Eugene C. Freuder
Publisher: MIT Press
ISBN: 9780262560757
Category : Computers
Languages : en
Pages : 420

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Book Description
Constraint-based reasoning is an important area of automated reasoning in artificial intelligence, with many applications. These include configuration and design problems, planning and scheduling, temporal and spatial reasoning, defeasible and causal reasoning, machine vision and language understanding, qualitative and diagnostic reasoning, and expert systems. Constraint-Based Reasoning presents current work in the field at several levels: theory, algorithms, languages, applications, and hardware. Constraint-based reasoning has connections to a wide variety of fields, including formal logic, graph theory, relational databases, combinatorial algorithms, operations research, neural networks, truth maintenance, and logic programming. The ideal of describing a problem domain in natural, declarative terms and then letting general deductive mechanisms synthesize individual solutions has to some extent been realized, and even embodied, in programming languages. Contents Introduction, E. C. Freuder, A. K. Mackworth * The Logic of Constraint Satisfaction, A. K. Mackworth * Partial Constraint Satisfaction, E. C. Freuder, R. J. Wallace * Constraint Reasoning Based on Interval Arithmetic: The Tolerance Propagation Approach, E. Hyvonen * Constraint Satisfaction Using Constraint Logic Programming, P. Van Hentenryck, H. Simonis, M. Dincbas * Minimizing Conflicts: A Heuristic Repair Method for Constraint Satisfaction and Scheduling Problems, S. Minton, M. D. Johnston, A. B. Philips, and P. Laird * Arc Consistency: Parallelism and Domain Dependence, P. R. Cooper, M. J. Swain * Structure Identification in Relational Data, R. Dechter, J. Pearl * Learning to Improve Constraint-Based Scheduling, M. Zweben, E. Davis, B. Daun, E. Drascher, M. Deale, M. Eskey * Reasoning about Qualitative Temporal Information, P. van Beek * A Geometric Constraint Engine, G. A. Kramer * A Theory of Conflict Resolution in Planning, Q. Yang A Bradford Book.

Geometric Constraint Solving in a Dynamic Geometry Framework

Geometric Constraint Solving in a Dynamic Geometry Framework PDF 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.

Geometric Constraint Satisfaction

Geometric Constraint Satisfaction PDF Author: Remco C. Veltkamp
Publisher:
ISBN:
Category : CAD/CAM systems
Languages : en
Pages : 24

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Book Description
This approach leads to a number of advantages, including graceful handling of under-constrained specifications, the ability to perform satisfaction locally and incrementally, support of constraint inference and geometric reasoning, and preserving the declarative semantics of constraints.

Intelligent CAD Systems III

Intelligent CAD Systems III PDF Author: Paul J.W. ten Hagen
Publisher: Springer Science & Business Media
ISBN: 3642843921
Category : Computers
Languages : en
Pages : 268

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Book Description
This book contains a selection of revised versions of papers presented at the Third Eurographics Workshop on Intelligent CAD Systems, which was held at Hotel Opduin on the island of Texel in The Netherlands, April 3-7, 1989. The workshop theme was Practical Experience and Evaluation. It included five paper presentation sessions, each followed by a discussion. The workshop closed with a general discussion. The book is therefore divided into five parts: design process, system architecture, languages, geometric reasoning, and user interface. A report on the discussion session, written by the session's moderator, concludes each part. These reports are not intended to be exact records of the discussion, but rather the moderators' summary of their contents. The aim of the workshop was to share the experience the participants gained by developing intelligent CAD (Computer Aided Design) systems, and to evaluate the developed systems to determine which features were still lacking. The workshop was organized as the last one in a series of three workshops under the same title. The first workshop focused on theoretical and methodological aspects, resulting in a sound theoretical basis for intelligent CAD systems. Implementational issues were discussed at the second workshop, paying attention to systems developed with reference to this basis. The experience and evaluation showed a dual outcome. Firstly, it resulted in the development of a new generation of intelligent CAD systems. Secondly, it led us to the development of new theories for intelligent CAD.

Intelligent CAD

Intelligent CAD PDF Author: Hiroyuki Yoshikawa
Publisher:
ISBN:
Category : Artificial intelligence
Languages : en
Pages : 404

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Book Description