Approximating Shapes using Parameterized Curves

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Abstract
Often in computer-aided engineering the problem arises of finding mathematically simple approximations to given curve shapes. This can be done using parameterized curves and for ease of computation the co-ordinate functions should be polynomials of low degree in the parameter. This paper describes a method for improving the accuracy of a rough approximation of this form. Not only is the change in the co-ordinate functions dealt with, but also the possibility of altering the parameterization itself is investigated.

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