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25 Remote Warehouse Mathematics- Applied

Applied Geometry for Computer Graphi 2ND Edition

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Applied Geometry for Computer Graphi 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). An introduction to transformations of the plane and three-dimensional space describes how objects can be constructed from geometric primitives and manipulated. This leads into a treatment of projections and the method of rendering objects on a computer screen by application of the complete viewing operation. Subsequently, the emphasis is on the two principal curve and surface representations, namely, Bézier and B-spline (including NURBS). As in the first edition, applications of the geometric theory are exemplified throughout the book, but new features in this revised and updated edition include: the application of quaternions to computer graphics animation and orientation; discussions of the main geometric CAD surface operations and constructions: extruded, rotated and swept surfaces; offset surfaces; thickening and shelling; and skin and loft surfaces; an introduction to rendering methods in computer graphics and CAD: colour, illumination models, shading algorithms, silhouettes and shadows. Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and links to other useful websites. Designed for students of computer science and engineering as well as of mathematics, the book provides a foundation in the extensive applications of geometry in real world situations.

Synopsis:

Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.

Table of Contents

Preface.- Transformations of the Plane.- Homogeneous Coordinates and Transformations of the Plane.- Homogeneous Coordinates and Transformations of Space.- Projections and the Viewing Pipeline.- Curves.- Bézier Curves I.- Bézier Curves II.- B-splines.- Surfaces.- Curve and Surface Curvatures.- Rendering.- Solutions.- References.- Bibliography.- Index.

Product Details

ISBN:
9781852338015
Author:
Marsh, Duncan
Publisher:
Springer
Location:
London
Subject:
Applied
Subject:
Computer Graphics - General
Subject:
Computer graphics
Subject:
Computer-aided design
Subject:
Geometry - General
Subject:
Geometry
Subject:
Rendering
Subject:
modelling
Subject:
CAD
Subject:
NURBS
Subject:
Bezier and B-spline curves
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Engineering - General
Subject:
Mathematics-Applied
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Engineering
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2005
Series:
Springer Undergraduate Mathematics Series
Publication Date:
20041105
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
365
Dimensions:
235 x 178 mm 1140 gr

Related Subjects

Computers and Internet » Graphics » General
Science and Mathematics » Astronomy » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Applied Geometry for Computer Graphi 2ND Edition New Trade Paper
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$56.95 In Stock
Product details 365 pages Springer-Verlag - English 9781852338015 Reviews:
"Synopsis" by , Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.
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