Titlebook: Calculus for Computer Graphics; John Vince Textbook 20192nd edition Springer Nature Switzerland AG 2019 Calculus for Computer Animation.Ca

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Roderick Murray-Smith,Kenneth HuntSo far, all the functions we have differentiated or integrated have been real-valued functions, such as .where . is a real value.

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Partial Derivatives,In this chapter we investigate derivatives of functions with more than one independent variable, and how such derivatives are annotated. We also explore the second-order form of these derivatives.

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Vector-Valued Functions,So far, all the functions we have differentiated or integrated have been real-valued functions, such as .where . is a real value.

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Continuity,In 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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Curvature,In this chapter I describe the mathematical definition of curvature, and show how to compute the curvature of a circle, helix, parabola, sine curve, Bézier curve, and a graph described by an explicit equation.

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