Vector Analysis for Computer Graphics Contributor(s): Vince, John (Author) |
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ISBN: 1849966508 ISBN-13: 9781849966504 Publisher: Springer OUR PRICE: $103.55 Product Type: Paperback - Other Formats Published: October 2010 * Not available - Not in print at this time * |
Additional Information |
BISAC Categories: - Computers | Computer Graphics - Computers | Computer Science - Mathematics | Geometry - General |
Dewey: 004.015 |
Physical Information: 0.8" H x 6.9" W x 9.2" (0.95 lbs) 259 pages |
Descriptions, Reviews, Etc. |
Publisher Description: In my last book, Geometry for Computer Graphics, I employed a mixture of algebra and vector analysis to prove many of the equations used in computer graphics. At the time, I did not make any distinction between the two methodologies, but slowly it dawned upon me that I had had to discover, for the first time, how to use vector analysis and associated strategies for solving geometric problems. I suppose that mathematicians are taught this as part of their formal mathematical training, but then, I am not a mathematician After some deliberation, I decided to write a book that would introduce the beginner to the world of vectors and their application to the geometric problems encountered in computer graphics. I accepted the fact that there would be some duplication of formulas between this and my last book; however, this time I would concentrate on explaining how problems are solved. The book contains eleven chapters: The first chapter distinguishes between scalar and vector quantities, which is reasonably straightforward. The second chapter introduces vector repres- tation, starting with Cartesian coordinates and concluding with the role of direction cosines in changes in axial systems. The third chapter explores how the line equation has a natural vector interpretation and how vector analysis is used to resolve a variety of line-related, geometric problems. Chapter 4 repeats Chapter 3 in the context of the plane. |