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Titlebook: Calculus for Computer Graphics; John Vince Textbook 2023Latest edition Springer Nature Switzerland AG 2023 Calculus for Computer Animation

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书目名称Calculus for Computer Graphics
编辑John Vince
视频videohttp://file.papertrans.cn/221/220870/220870.mp4
概述Introduces the subject of calculus simply, quickly and accurately.Each chapter reveals topics from the invention of calculus, to the solution of differential equations.The author’s writing style is lu
图书封面Titlebook: Calculus for Computer Graphics;  John Vince Textbook 2023Latest edition Springer Nature Switzerland AG 2023 Calculus for Computer Animation
描述.Students studying different branches of computer graphics need to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces. And as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems..In this 3.rd. edition, the author extends the scope of the original book to include vector differential operators and differential equations and draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples and almost two hundred colour illustrations. .This book complements the aut
出版日期Textbook 2023Latest edition
关键词Calculus for Computer Animation; Calculus for Computer Games; Derivatives and Antiderivatives; Exponent
版次3
doihttps://doi.org/10.1007/978-3-031-28117-4
isbn_softcover978-3-031-28116-7
isbn_ebook978-3-031-28117-4
copyrightSpringer Nature Switzerland AG 2023
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Luis B. Almeida,Christian J. WellekensSo far, all the functions we have differentiated or integrated have been real-valued functions, such as
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https://doi.org/10.1007/3-540-52255-7In this chapter I describe how to calculate tangent and normal vectors on various curves and surfaces. I begin with the notation used to describe vector-valued functions and definitions for a tangent and normal vector.
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Berndt Müller,Joachim ReinhardtIn this chapter I explain how geometric continuity is ensured between segments of B-splines and Bézier curves. To begin the analysis, we return to the definition of uniform B-splines and how polynomials are chosen to provide the geometric continuity between curve segments.
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