Applied geometry for computer graphics and CAD
著者
書誌事項
Applied geometry for computer graphics and CAD
（Springer undergraduate mathematics series）
Springer, c1999
- : pbk
大学図書館所蔵 件 / 全33件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references
内容説明・目次
内容説明
Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). It summarizes the essential mathematical concepts, and covers the representation of points, lines and transformations. A treatment of how transformations can be used to manipulate objects leads into the method of rendering objects on a computer screen by application of the complete viewing pipeline. Subsequently, the main emphasis is on the two principal curve representations used in CAD packages and in computer graphics; Bezier and B-spline curves. Over 260 exercises are included, many of which encourage the reader to implement the techniques and algorithms discussed through use of a computer package with graphing and computer algebra capabilities. Suitable for students of engineering and computer science as well as of mathematics, the book provides a foundation in the extensive applications of geometry in real world situations.
目次
Preliminaries.- Affine Transformations in the Plane.- Homogenous Coordinates in the Plane.- Homogenous Coordinates and Transformations in Space.- Projections and the Complete Viewing Pipeline.- Representations of Curves.- Lines and Conics.- Bezier Curves I.- Bezier Curves II.- B-Spline Curves.- Surfaces.- Curve and Surface Curvatures.
「Nielsen BookData」 より