Cover image for Geometric and algorithmic aspects of computer-aided design and manufacturing : DIMACS Workshop Computer Aided Design and Manufacturing, October 7-9, 2003, Piscataway, New Jersey
Title:
Geometric and algorithmic aspects of computer-aided design and manufacturing : DIMACS Workshop Computer Aided Design and Manufacturing, October 7-9, 2003, Piscataway, New Jersey
Series Title:
DIMACS series in discrete mathematics and theoretical computer science ; v. 67
Series:
DIMACS series in discrete mathematics and theoretical computer science ; v. 67
Publication Information:
Providence, RI : American Mathematical Society, 2005
Physical Description:
ix, 345 p. : ill. ; 26 cm.
ISBN:
9780821836286

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Material Type
Item Category 1
Status
PSZ JB 30000010263512 TA174 D498 2003 Open Access Book Book
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Summary

Summary

Computer-Aided Design and Manufacturing (CAD/CAM) is concerned with all aspects of the process of designing, prototyping, manufacturing, inspecting, and maintaining complex geometric objects under computer control. As such, there is a natural synergy between this field and Computational Geometry (CG), which involves the design, analysis, implementation, and testing of efficient algorithms and data representation techniques for geometric entities such as points, polygons, polyhedra, curves, and surfaces. The DIMACS Center (Piscataway, NJ) sponsored a workshop to further promote the interaction between these two fields. Attendees from academia, research laboratories, and industry took part in the invited talks, contributed presentations, and informal discussions. This volume is an outgrowth of that meeting. Topics covered in this volume include geometric modeling, computational topology, computational metrology, geometric constraint solving, part immobilization, geometric aspects of machining, layered manufacturing, and algebraic methods. The book is suitable for graduate students and researchers interested in geometric and algorithmic aspects of computer-aided design and manufacturing.


Table of Contents

A survey of subdivision-based tools for surface modelingI. Boier-Martin and D. Zorin and F. Bernardini
Sample based geometric modelingT. K. Dey
Computational topology and swept volumesD. Blackmore and Y. Mileyko and M. C. Leu and W. C. Regli and W. Sun
Elements of computational metrologyV. Srinivasan
Combinatorial approaches to geometric constraint solving: Problems, progress and directionsM. Sitharam
Immobilization: Analysis, existence, and output-sensitive synthesisA. F. van
der Stappen Geometric algorithms for layered manufacturingR. Janardan and M. Smid
A process planning framework for multi-direction layered depositionP. Singh and D. Dutta
Machinability: Geometric reasoning for cuttingT. Kim and S. E. Sarma
Zig-zag tool path generation for sculptured surface finishingD. Misra and V. Sundararajan and P. K. Wright
Implicitization exploiting sparsenessI. Z. Emiris and I. S. Kotsireas
The exact rational univariate representation for detecting degeneraciesJ. Keyser and K. Ouchi and J. M. Rojas
Mass properties of the union of millions of identical cubesW. R. Franklin