Spline Method Optimization of Bidimensional Functions

Main Author: Liliana,
Format: Proceeding PeerReviewed application/pdf
Terbitan: , 2011
Subjects:
Online Access: https://repository.petra.ac.id/15918/1/Publikasi1_03024_184.pdf
http://icid2011.com/
https://repository.petra.ac.id/15918/
Daftar Isi:
  • 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 doesnâ€TMt 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.