约翰·文斯(John Vince)在这本完全修订和扩展的第六版中解释了与计算机游戏、计算机动画、特效、虚拟现实、CAD和其他计算机图形学领域相关的一系列数学技术和问题解决策略。
前五章涵盖了一般介绍、数字集、代数、三角学和坐标系,以下章节将介绍行列式、向量、矩阵代数、复数、几何变换、四元数代数、空间四元数、插值、曲线和面片、解析几何和重心坐标。在此之后,读者将了解相对较新的几何代数主题,接下来是介绍微分和积分的两章。最后,有一章是关于工作实例的。
计算机图形学数学涵盖了该学科的所有关键领域,包括
•数字集
•代数
•三角学
•复数
•坐标系
•决定因素
•向量
•四元数
•矩阵代数
•几何变换
•插值
•曲线和曲面
•解析几何
•重心坐标
•几何代数
•微分学
•积分学
这第六版包含大约150个工作的例子和330多个彩色插图,这是作者的描述写作风格的核心。《计算机图形学》提供了对计算机图形学软件所需数学的良好理解,并为进一步阅读更高级的书籍和技术研究论文奠定了基础
Mathematics for Computer Graphics (Undergraduate Topics in Computer Science), 6th Edition 2022
John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded sixth edition.
The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples.
Mathematics for Computer Graphics covers all of the key areas of the subject, including
• Number sets
• Algebra
• Trigonometry
• Complex numbers
• Coordinate systems
• Determinants
• Vectors
• Quaternions
• Matrix algebra
• Geometric transforms
• Interpolation
• Curves and surfaces
• Analytic geometry
• Barycentric coordinates
• Geometric algebra
• Differential calculus
• Integral calculus
This sixth edition contains approximately 150 worked examples and over 330 colour illustrations, which are central to the author’s descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers
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