Algorithms for Trigonometric Curves (Simplification, Implicitization, Parameterization)
نویسندگان
چکیده
A trigonometric curve is a real plane curve where each coordinate is given parametri-cally by a truncated Fourier series. The trigonometric curves frequently arise in various areas of mathematics, physics, and engineering. Some trigonometric curves can be also represented implicitly by bivariate polynomial equations. In this paper, we give algorithms for (a) simplifying a given parametric representation, (b) computing an implicit representation from a given parametric representation, and (c) computing a parametric representation from a given implicit representation.
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ورودعنوان ژورنال:
- J. Symb. Comput.
دوره 26 شماره
صفحات -
تاریخ انتشار 1998