FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES

Zhong Dai and Shutang Liu
Additional contact information
Zhong Dai: School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, P. R. China
Shutang Liu: School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 05, 1-14

Abstract: This paper provides a new idea for interpolating complex curves and surfaces by fractal interpolation. A type of bivariate fractal interpolation functions with function vertical scaling factors for the special interpolation data set is presented. The interpolation algorithm is proposed for complex curves by contour lines of two types of fractal interpolation functions which are proposed by this paper and Navascués et al. [Construction of fractal surfaces, Fractals 28(2) (2020) 2050033], respectively. Meanwhile, some properties of the interpolation algorithm are introduced. Then, the two classes of fractal interpolation functions are extended to the cases of trivariate functions. We also introduce the interpolation algorithm for complex surfaces based on iso-surfaces of fractal interpolation functions constructed. Finally, several examples are provided.

Keywords: Fractal Interpolation Function; Contour Line; Iso-Surface (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23500408
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:05:n:s0218348x23500408

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23500408

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().