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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 22. Splines and Subdivision Curves

22.1. Introduction

In this chapter and the next, we turn very briefly to the topics of splines and subdivision, which are closely related. Both are used in geometric modeling (representing geometric shapes of the sort that we want to animate and render). Splines are also used in image processing, animation, data fitting, and a host of other applications. The web materials for these chapters provide a far more thorough treatment of splines. In this chapter, we provide only the briefest outline of some of the most common splines and subdivision curves; in the next, we will discuss surfaces.

22.2. Basic Polynomial Curves

We begin with two widely used ways to specify a curve. You can think of these as analogous ...

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