BSNS102 Study Guide - Final Guide: Unit Circle, Unit Vector, Univariate

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Chapter 12: geometric primitives is true for all points on the surface of a unit sphere centered at the origin. Implicit form is some- times useful for point inclusion tests and the like. Let us define the following two functions of t: The argument t is known as the parameter and is independent of the coordinate system used. As t varies from 0 1, the point (x(t), y(t)) traces out the outline of the shape we are describing. In this case, it is a unit circle centered at the origin. (see figure 12. 1. ) It is often convenient to restrict the parameter in range 0 1, although we may allow t to assume any range of values we wish. Another common choice is 0 l, where l is the length of the primitive. When our functions are in terms of one parameter, we say that the functions are univariate.

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