E Book

Applied Geometry for Computer Graphics and CAD

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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.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.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

London : Springer., 2005

Deskripsi Fisik

XV, 350 p.online resource.

Bahasa

English

ISBN/ISSN

9781846281099

Klasifikasi

004

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

2nd ed. 2005.

Subjek

Application software.
Computer Applications.
Computer graphics.
Applied mathematics.
Engineering mathematics.
Engineering.
Engineering, general.
Applications of Mathematics.
Geometry.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Duncan Marsh.

Versi lain/terkait

Lampiran Berkas

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