Generative Modeling for Computer Graphics and Cad
Symbolic Shape Design Using Interval Analysis
- 334 pages
- English
- PDF
- Available on iOS & Android
Generative Modeling for Computer Graphics and Cad
Symbolic Shape Design Using Interval Analysis
About This Book
Generative Modeling for Computer Graphics and Cad: Symbolic Shape Design Using Interval Analysis presents a symbolic approach to shape representation that is useful to the CAD/CAM and computer graphics communities. This book discusses the kinds of operators useful in a geometric modeling system, including arithmetic operators, vector and matrix operators, integration, differentiation, constraint solution, and constrained minimization. Associated with each operator are several methods that compute properties about the parametric functions represented with the operators. This text also elaborates how numerous rendering and analytical operations can be supported with only three methodsâevaluation of the parametric function at a point, symbolic differentiation of the parametric function, and evaluation of an inclusion function for the parametric function. This publication is intended for people working in the area of computational geometry who are interested in a robust class of algorithms for manipulating shapes and those who want to know how human beings can specify and manipulate shape.
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Table of contents
- Front Cover
- Generative Modeling for Computer Graphics and CAD: Symbolic Shape Design Using Interval Analysis
- Copyright Page
- Table of Contents
- Foreword
- Preface
- Acknowledgments
- Index of Figures
- Chapter 1. Introduction
- Chapter 2. Shape Representation
- Chapter 3. Shape Specification Examples
- Chapter 4. Shape Rendering
- Chapter 5. Interval Methods for Shape Synthesis and Analysis
- Chapter 6. Applying Interval Methods to Geometric Modeling
- Chapter 7. Conclusion
- Appendix A: The GENMOD Language
- Appendix Î: GENMOD Code Examples
- Appendix C: Theorems in Interval Analysis
- Bibliography
- Index