阿谀奉承 发表于 2025-3-21 17:49:46
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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鸣叫 发表于 2025-3-22 01:40:13
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废除 发表于 2025-3-22 08:05:47
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 inkindred 发表于 2025-3-22 09:03:17
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擦掉 发表于 2025-3-22 16:26:37
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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难解 发表于 2025-3-23 00:14:07
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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爆炸 发表于 2025-3-23 06:13:49
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