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Hughes/Computer Graphics, 3/E by Steven K. Feiner, Andries van Dam, John F. Hughes, Morgan McGuire, David F. Sklar, James D. Foley, Kurt Akeley

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Chapter 23. Splines and Subdivision Surfaces

23.1. Introduction

Both spline curves and subdivision curves can be generalized, creating spline and subdivision surfaces. In this chapter, we show how to make a Bézier patch: a small piece of surface, parameterized by [0, 1] × [0, 1], for which u Image S(u, v0) is a Bézier curve for each value of v0 and v Image S(u0, v) is a Bézier curve for each value of u0 (i.e., “it’s Bézier in both directions”). Just as Bézier curves can be joined together into longer curves, Bézier patches can be assembled together into a ...

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