Spline Method Optimization of Bidimensional Functions

Liliana, (2011) Spline Method Optimization of Bidimensional Functions. In: International Conference on Informatics Development 2011, 26-11-2011 - 26-11-2011, Yogyakarta - Indonesia.

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Abstract

A given set of scattered data usually need to be expressed in a function form. It is difficult to do because the scattered data may not similar with any known function, such as polynomial or trigonometric function. Spline function is a piecewise polynomial function which can approximate the scattered data better than usual polynomial function. Not only easy to construct and have good properties in avoiding big error when approximate a set of values, spline function also construct a smooth curve among the scattered data. B-spline is a specific spline with certain smoothness and degree, and domain partition. By using b-spline the approximation will be better and easy to construct. In this paper, it doesn’t use a set of scattered data, but a set of values generated using a certain function. The experimental result shows that the spline can approximate the original function smoothly. As comparison to the set of values generated by a certain function, it is given a set of random value. The result also shows that spline approximates the random value well.

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