Hughes/Computer Graphics, 3/E

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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 S(u, v₀) is a Bézier curve for each value of v₀ and v 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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