Fractal interpolation functions (FIFs) represent an innovative class of methods for modelling and approximating complex data. Derived from iterated function systems, these functions enable the ...
Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...
Transactions of the American Mathematical Society, Vol. 361, No. 4 (Apr., 2009), pp. 1765-1790 (26 pages) We provide two methods for constructing smooth bump functions and for smoothly cutting off ...
Fractals are a source of endless fascination to me. Life itself relies on many of the concepts of fractals: trees are fractal, as are feathers, coast lines, and many other things in nature. Indeed, it ...
This program will draw fractals with an Iterated Function System or by the Chaos Game. Either method requires that the transformations defining the IFS be given. An IFS is composed of a number of ...
Journal of Computational Mathematics Vol. 20, No. 4, JULY 2002 BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON RECTANGULAR DOMAINS This is the metadata section. Skip to content viewer section. Non-tensor ...
Fractals are geometric objects that are self-similar, i.e., you can break them apart into smaller pieces which are exact (but smaller) replicas of the original object. These smaller pieces in turn, ...