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Hardcover ISBN: | 978-0-8218-3628-6 |
Product Code: | DIMACS/67 |
List Price: | $129.00 |
MAA Member Price: | $116.10 |
AMS Member Price: | $103.20 |
eBook ISBN: | 978-1-4704-4024-4 |
Product Code: | DIMACS/67.E |
List Price: | $121.00 |
MAA Member Price: | $108.90 |
AMS Member Price: | $96.80 |
Hardcover ISBN: | 978-0-8218-3628-6 |
eBook: ISBN: | 978-1-4704-4024-4 |
Product Code: | DIMACS/67.B |
List Price: | $250.00 $189.50 |
MAA Member Price: | $225.00 $170.55 |
AMS Member Price: | $200.00 $151.60 |
![Geometric and Algorithmic Aspects of Computer-Aided Design and Manufacturing](https://ebus.ams.org/ProductImages/dimacs-67-e-cov-1.jpg)
![](/images/appliedMath.png)
Hardcover ISBN: | 978-0-8218-3628-6 |
Product Code: | DIMACS/67 |
List Price: | $129.00 |
MAA Member Price: | $116.10 |
AMS Member Price: | $103.20 |
eBook ISBN: | 978-1-4704-4024-4 |
Product Code: | DIMACS/67.E |
List Price: | $121.00 |
MAA Member Price: | $108.90 |
AMS Member Price: | $96.80 |
Hardcover ISBN: | 978-0-8218-3628-6 |
eBook ISBN: | 978-1-4704-4024-4 |
Product Code: | DIMACS/67.B |
List Price: | $250.00 $189.50 |
MAA Member Price: | $225.00 $170.55 |
AMS Member Price: | $200.00 $151.60 |
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Book DetailsDIMACS - Series in Discrete Mathematics and Theoretical Computer ScienceVolume: 67; 2005; 360 ppMSC: Primary 12; 52; 65; 68
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.
Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).
ReadershipGraduate students and researchers interested in geometric and algorithmic aspects of computer-aided design and manufacturing.
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Table of Contents
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Chapters
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A survey of subdivision-based tools for surface modeling
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Sample based geometric modeling
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Computational topology and swept volumes
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Elements of computational metrology
-
Combinatorial approaches to geometric constraint solving: Problems, progress and directions
-
Immobilization: Analysis, existence, and output-sensitive synthesis
-
Geometric algorithms for layered manufacturing
-
A process planning framework for multi-direction layered deposition
-
Machinability: Geometric reasoning for cutting
-
Zig-zag tool path generation for sculptured surface finishing
-
Implicitization exploiting sparseness
-
The exact rational univariate representation for detecting degeneracies
-
Mass properties of the union of millions of identical cubes
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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.
Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).
Graduate students and researchers interested in geometric and algorithmic aspects of computer-aided design and manufacturing.
-
Chapters
-
A survey of subdivision-based tools for surface modeling
-
Sample based geometric modeling
-
Computational topology and swept volumes
-
Elements of computational metrology
-
Combinatorial approaches to geometric constraint solving: Problems, progress and directions
-
Immobilization: Analysis, existence, and output-sensitive synthesis
-
Geometric algorithms for layered manufacturing
-
A process planning framework for multi-direction layered deposition
-
Machinability: Geometric reasoning for cutting
-
Zig-zag tool path generation for sculptured surface finishing
-
Implicitization exploiting sparseness
-
The exact rational univariate representation for detecting degeneracies
-
Mass properties of the union of millions of identical cubes