Curves and Surfaces in Geometric Modeling. Theory and Algorithms.pdf

Curves and Surfaces in Geometric Modeling. Theory and Algorithms PDF

Jean Gallier

Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner. The focus here 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 more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. Youll learn to use this and other related techniques crown from affine geometry for computing and adjusting control points deriving the continuity conditions for splines, creating subdivision surfaces, and more. The product of groundbreaking research by a noteworthy computer scientist and mathematician, this book is destined to emerge as a classic work on this complex subject. It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality geometric modeling and design, medical imaging, computer vision, and motion planning. Offers a mathematically rigorous and unifying approach to the algorithmic generation and manipulation of curves and surfaces. Covers basic concepts of affine geometry - the ideal framework for dealing with curves and surfaces in terms of control points. Details (in Mathematica) many complete implementations, explaining how they produce highly continuous curves and surfaces. Presents the primary techniques for creating and analyzing the convergence of subdivision surfaces (Doo-Sabin, Catmull-Clark, Loop) Contains appendices on linear algebra, basic topology, and differential calculus.

14 Feb 2018 ... is an important problem in geometric modelling. ... Curves and surfaces designed in a Computer Graphics environment have many applications, ... The underlying mathematical theory, based on the concept of ... idea of the rational Bezier- and B -spline algorithms is to evaluate and manipulate the curves.

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9781558605992 ISBN
Curves and Surfaces in Geometric Modeling. Theory and Algorithms.pdf

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Sofya Voigtuh

Maths - Books about Curves and Surfaces - …

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Mattio Müllers

An introduction to geometric concepts and tools needed for solving problems of a geometric nature with a computer. It offers theoretical understanding of polynomial curves and surfaces. The focus of this book 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. Curves and Surfaces In Geometric Modeling: Theory And ...

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Noels Schulzen

Curves and Surfaces In Geometric Modeling: Theory … This book is primarily an introduction to geometric concepts and tools needed for solving problems of a geometric nature with a computer. Our main goal is to provide an introduction to the mathematical concepts needed in tackling problems arising notably in computer graphics, geometric modeling, computer vision, and motion planning, just to mention some key areas.

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Jason Leghmann

Curves and Surfaces in Geometric Modeling: Theory and Algorithms by Jean Gallier. Publisher: Morgan Kaufmann 1999 ISBN/ASIN: 1558605991 ISBN-13: 9781558605992 Number of pages: 502. Description: 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

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Jessica Kolhmann

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