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Titlebook: Mathematics for Computer Graphics; John Vince Textbook 20103rd edition Springer-Verlag London 2010 3D.3D graphics.Interpolation.Partition.

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发表于 2025-3-21 17:49:46 | 显示全部楼层 |阅读模式
书目名称Mathematics for Computer Graphics
编辑John Vince
视频video
概述Includes supplementary material:
丛书名称Undergraduate Topics in Computer Science
图书封面Titlebook: Mathematics for Computer Graphics;  John Vince Textbook 20103rd edition Springer-Verlag London 2010 3D.3D graphics.Interpolation.Partition.
描述.John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics.. .Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed.. .All the key areas are covered including: Numbers, Algebra, Trigonometry, Coordinate geometry, Transforms, Vectors, Curves and surfaces, Barycentric coordinates, Analytic geometry.. .Plus – and unusually in a student textbook – a chapter on geometric algebra is included..
出版日期Textbook 20103rd edition
关键词3D; 3D graphics; Interpolation; Partition; Splines; animation; computer animation; computer graphics; reflec
版次3
doihttps://doi.org/10.1007/978-1-84996-023-6
isbn_ebook978-1-84996-023-6Series ISSN 1863-7310 Series E-ISSN 2197-1781
issn_series 1863-7310
copyrightSpringer-Verlag London 2010
The information of publication is updating

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发表于 2025-3-21 23:46:45 | 显示全部楼层
Trigonometry,.e., triangles. It is a very ancient subject, and one the reader requires to understand for the analysis and solution of problems in computer graphics..Trigonometric functions arise in vectors, transforms, geometry, quaternions and interpolation, and in this chapter we survey some of the basic featu
发表于 2025-3-22 01:40:13 | 显示全部楼层
Cartesian Coordinates,636 Fermat was working on a treatise titled ., which outlined what we now call .. Unfortunately, Fermat never published his treatise, although he shared his ideas with other mathematicians such as Blaise Pascal (1623–1662). At the same time Descartes devised his own system of analytic geometry and i
发表于 2025-3-22 08:05:47 | 显示全部楼层
Vectors,ful techniques for computing angles between lines and the orientation of surfaces. They also provide a coherent framework for computing the behaviour of dynamic objects in computer animation and illumination models in rendering..We often employ a single number to represent quantities that we use in
发表于 2025-3-22 09:03:17 | 显示全部楼层
Transforms,nsformed into .(., .) by manipulating the original coordinates . and . using . Similarly, a 3D point .(., ., .) can be transformed into .(., ., .) using . By choosing different values for ., ., ., . . . . we can translate, shear, scale, reflect or rotate a shape..Although algebra is the basic notati
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Curves and Patches,s to delve too deeply. However, we can explore many of the ideas that are essential to understanding the mathematics behind 2D and 3D curves and how they are developed to produce surface patches. Once you have understood these ideas you will be able to read more advanced texts and develop a wider kn
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Barycentric Coordinates,ative to some origin. Other coordinate systems also exist such as polar, spherical and cylindrical coordinates, and they, too, require an origin. Barycentric coordinates, on the other hand, locate points relative to existing points, rather than to an origin and are known as .. The German mathematici
发表于 2025-3-23 06:13:49 | 显示全部楼层
Geometric Algebra,further should consult the author’s books: . or ...Although geometric algebra introduces some new ideas, the subject should not be regarded as difficult. If you have read and understood the previous chapters, you should be familiar with vectors, vector products, transforms, and the idea that the pro
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