Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641068 | Journal of Computational and Applied Mathematics | 2009 | 20 Pages |
Abstract
Fractal interpolation functions are very useful in capturing data that exhibit an irregular (non-smooth) structure. Two new methods to identify the vertical scaling factors of such functions are presented. In particular, they minimize the area of the symmetric difference between the bounding volumes of the data points and their transformed images. Comparative results with existing methods are given that establish the proposed ones as attractive alternatives. In general, they outperform existing methods for both low and high compression ratios. Moreover, lower and upper bounds for the vertical scaling factors that are computed by the first method are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Polychronis Manousopoulos, Vassileios Drakopoulos, Theoharis Theoharis,