Titlebook: Curves and Surfaces for Computer Graphics; David Salomon Textbook 2006 Springer-Verlag New York 2006 Animation.Interpolation.Mathematica.a

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Subdivision Methods,es that lead to the same result. A third approach to curve and surface design, employing the process of . (also known as . or .), is the topic of this chapter. Refinement is a general approach that can produce Bézier curves, B-spline curves, and other types of curves. Its main advantage is that it c

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Sweep Surfaces,ectors and are con- sequently different from the surfaces described in previous chapters. A reader who wishes a full understanding of this chapter should be familiar with the important three- dimensional transformations (rotation, translation, scaling, reflection, and shearing)and how they are descr

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https://doi.org/10.1007/978-981-99-1685-6he designation „B“ stands for Basis, so the full name of this approach to curve and surface design is the basis spline. This chapter discusses the important types of B-spline curves and surfaces, including the most versatile one, the nonuniform rational B-spline (NURBS, Section 7.14)

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https://doi.org/10.1007/978-981-99-1685-6uld be familiar with the important three- dimensional transformations (rotation, translation, scaling, reflection, and shearing)and how they are described mathematically by a 4 × 4 transformation matrix. This mate- rial is available in most texts on computer graphics, but the next paragraph is a short summary, for those who only need a refresher.

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Textbook 2006s a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics...Key features:..- Good foundational mathematical introduction to curves and surfaces; no advanced math required..- Topics organized by different interpolation/approxima