Curves and Surfaces in Geometric Modeling by Jean Gallier
Curves and Surfaces in Geometric Modeling - Table of Contents
- 1. Introduction
- PART I: BASICS OF AFFINE GEOMETRY
- 2. Basics of Affine Geometry
- PART II: POLYNOMIAL CURVES AND SPLINE CURVES
- 3. Introduction to Polynomial Curves
- 4. Multiaffine Maps and Polar Forms
- 5. Polynomial Curves as Bézier Curves
- 6. B-Spline Curves
- PART III: POLYNOMIAL SURFACES AND SPLINE SURFACES
- 7. Polynomial Surfaces
- 8. Subdivision Algorithms for Polynomial Surfaces
- 9. Polynomial Spline Surfaces and Subdivision Surfaces
- 10. Embedding an Affine Space in a Vector Space
- 11. Tensor Products and Symmetric Tensor Products
- PART IV: APPENDICES
- A. Linear Algebra
- B. Complements of Affine Geometry
- C. Topology for Geometric Modeling
- D. Differential Calculus
What You Will Learn in Curves and Surfaces in Geometric Modeling
Curves and Surfaces in Geometric Modeling by Jean Gallier bridges pure mathematics and computer-aided geometric design (CAGD). Accessing this jean gallier curves and surfaces pdf enables students, software engineers, and graphics researchers to master spline algorithms and surface fitting techniques.
The text extensively covers polar forms (blossoming), de Casteljau and de Boor algorithms, B-spline curves, and triangular Bézier patches. Studying this comprehensive curves and surfaces in geometric modeling book equips readers with necessary mathematical tools for modern 3D CAD software development.
Provided as an open academic resource curves and surfaces in geometric modeling pdf download, this masterwork remains an essential reference for computer graphics specialists, topologists, and computational mathematicians.
Book Details & Specifications
Title:
Curves and Surfaces in Geometric Modeling by Jean Gallier
Publisher:
Morgan Kaufmann
Year:
1999
Pages:
502
Type:
PDF
Language:
English
ISBN-10 #:
1558605991
ISBN-13 #:
978-1558605992
License:
External Educational Resource
Amazon:
Amazon
About the Author: Jean H. Gallier
The author Jean H. Gallier
is a renowned Professor of Computer and Information Science at the University of Pennsylvania.
Distinguished for his contributions to logic, computational geometry, differential geometry, and computer vision, his landmark volume Curves and Surfaces in Geometric Modeling by Jean Gallier serves as a standard textbook in geometric modeling and CAD theory.
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