Boundary Controlled Iterated Function Systems
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Titre | Boundary Controlled Iterated Function Systems |
Type de publication | Conference Paper |
Year of Publication | 2015 |
Auteurs | Sokolov D, Gouaty G, Gentil C, Mishkinis A |
Editor | Boissonnat JD, Cohen A, Gibaru O, Gout C, Lyche T, Mazure ML, Schumaker LL |
Conference Name | CURVES AND SURFACES |
Publisher | Inst Natl Rech Informatique Automatique; Lab Jean Kuntzmann; Lab Sci Informat Syst; Maison Modelisat Simulat Nanosciences Environm |
Conference Location | HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY |
ISBN Number | 978-3-319-22804-4; 978-3-319-22803-7 |
Mots-clés | B-splines, Fractals, Iterated function system, Subdivision surfaces |
Résumé | Boundary Controlled Iterated Function Systems is a new layer of control over traditional (linear) IFS, allowing creation of a wide variety of shapes. In this work, we demonstrate how subdivision schemes may be generated by means of Boundary Controlled Iterated Function Systems, as well as how we may go beyond the traditional subdivision schemes to create free-form fractal shapes. BC-IFS is a powerful tool allowing creation of an object with a prescribed topology (e.g. surface patch) independent of its geometrical texture. We also show how to impose constraints on the IFS transformations to guarantee the production of smooth shapes. |
DOI | 10.1007/978-3-319-22804-4_29 |