Parameter identification of 1D fractal interpolation functions using bounding volumes

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Manousopoulos, Polychronis¹  Drakopoulos, Vassileios¹  Theoharis, Theoharis¹ 

[1] Univ Athens, Dept Informat & Telecommun, Athens 15784, Greece

关键词: Fractal interpolation;    Iterated function system;    Vertical scaling factors;    Symmetric difference metric;    Hausdorff metric;   

DOI  :  10.1016/j.cam.2009.08.115

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free