Applied Geometry for Computer Graphics and CAD: With Applications to Computer Graphics (Springer Undergraduate Mathematics Series)

Marshall, Duncan L.,Marsh, Duncan

ISBN 10: 1852330805 / ISBN 13: 9781852330804

Verlag: Springer, 1999

Beschreibung

Bestandsnummer des Verkäufers mon0000038867

Bibliografische Details

• Titel: Applied Geometry for Computer Graphics and CAD: With Applications to Computer Graphics (Springer Undergraduate Mathematics Series)
• Verlag: Springer
• Erscheinungsjahr: 1999
• Sprache: Englisch
• ISBN-10: 1852330805
• ISBN-13: 9781852330804
• Einband: Paperback
• Zustand: New

Über diesen Titel

Inhaltsangabe

Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Following a summary of essential mathematical concepts, the book 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, namely, Bézier 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.

Reseña del editor

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.