Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254889 | Chaos, Solitons & Fractals | 2015 | 8 Pages |
Abstract
We construct an explicit formula for the fractal interpolation function associated to an IFS with variable parameters. The solution is given in terms of the base p representation of numbers. This construction is a consequence of the formulation of the problem in a general functional equation setting. We introduce compatibility conditions as essential hypotheses to ensure problems in the functional system form are well-defined.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Cristina Serpa, Jorge Buescu,