Vector Analysis for Computer Graphics by John VinceVector Analysis for Computer Graphics by John Vince

Vector Analysis for Computer Graphics

byJohn Vince

Paperback | October 13, 2010

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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.
Title:Vector Analysis for Computer GraphicsFormat:PaperbackDimensions:259 pagesPublished:October 13, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1849966508

ISBN - 13:9781849966504


Table of Contents

Scalars and Vectors.- Vector Representation.- Straight Lines.- The Plane.- Reflections.- Intersections.- Rotating Vectors.- Vector Differentiation.- Projections.- Rendering.- Motion.

Editorial Reviews

From the reviews:"Vince's book applies to more than computer graphics: it is a resource for many areas in applied mathematics. . Students in computer graphics courses would find it very useful if their class discussions moved into the mathematical fundamentals underlying the tools. . Undergraduate students especially lack the mathematics background that this book provides. . It is comprehensive and coherent, and a good addition to the library of any computational scientist." (Anthony J. Duben, ACM Computing Reviews, Vol. 49 (8), August, 2008)