Overview

Geometry is the cornerstone of computer graphics and computer animation, and provides the framework and tools for solving problems in two and three dimensions. This may be in the form of describing simple shapes such as a circle, ellipse, or parabola, or complex problems such as rotating 3D objects about an arbitrary axis. Geometry for Computer Graphics draws together a wide variety of geometric information that will provide a sourcebook of facts, examples, and proofs for students, academics, researchers, and professional practitioners. The book is divided into 4 sections: the first summarizes hundreds of formulae used to solve 2D and 3D geometric problems. The second section places these formulae in context in the form of worked examples. The third provides the origin and proofs of these formulae, and communicates mathematical strategies for solving geometric problems. The last section is a glossary of terms used in geometry.

Full Product Details

Author:   John Vince
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   Softcover reprint of hardcover 1st ed. 2005
Dimensions:   Width: 17.80cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.699kg
ISBN:  

9781849969338

ISBN 10:   1849969337
Pages:   342
Publication Date:   13 October 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

From the contents: Geometry.- Lines, angles and trigonometry.- Circe.- Triangle.- Quadrilaterals.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and circles.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Examples.- Trigonometry.- Circe.- Triangle.- Quadrilateral.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and a circle.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Proofs.- Glossary.

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