TY  - BOOK
AU  - Duncan,Marsh
ED  - SpringerLink (Online service)
TI  - Applied Geometry for Computer Graphics and CAD
T2  - Springer Undergraduate Mathematics Series,
SN  - 9781846281099
AV  - QA76.76.A65 
U1  - 004 23
PY  - 2005///
CY  - London
PB  - Springer London
KW  - Computer science
KW  - Computer graphics
KW  - Application software
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Geometry
KW  - Engineering
KW  - Computer Science
KW  - Computer Applications
KW  - Applications of Mathematics
KW  - Computer Graphics
KW  - Engineering, general
KW  - Electronic books
KW  - local
N1  - 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
N2  - 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
UR  - http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/b138823
ER  -