Curves and Surfaces in Geometric Modeling: Theory & Algorithms

• Category: Mathematics
• Author: Jean Gallier
• Pages: 491 pages
• File type: PDF (502 pages, 2.6 MB)

Read and download free eBook intituled Curves and Surfaces in Geometric Modeling: Theory & Algorithms in format PDF (502 pages, 2.6 MB) – 491 pages created by Jean Gallier.

Curves and Surfaces for Geometric Design offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work-whether you’re a graduate student, scientist, or practitioner.

Inside, the focus is on “blossoming”-the process of converting a polynomial to its polar form-as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for far more than its theoretical elegance, for the author proceeds to demonstrate the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You’ll learn to use this and related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more.

This book offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work — whether you are a graduate student, scientist, or practitioner.

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Curves and Surfaces in Geometric Modeling: Theory & Algorithms