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- Title
CONSTRUCTION OF A WEIGHTED FRACTAL INTERPOLATION SURFACE BASED ON MATKOWSKI CONTRACTIONS.
- Authors
ZHONG, QIAN-RUI; WANG, HONG-YONG
- Abstract
In this paper, we construct a new kind of weighted recursive iteration function system (IFS) and prove the existence of the unique attractor for the kind of IFS based on the Matkowski fixed point theorem. We confirm that the attractor is a bivariate fractal interpolation surface (FIS), which interpolates a given set of data. In addition, we also provide an upper error estimate of such FISs caused by changes of weights. Finally, we give their box dimension estimates for a specific type of the FISs.
- Subjects
INTERPOLATION; RECURSIVE functions
- Publication
Fractals, 2024, Vol 32, Issue 1, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X24500130