Boundary Controlled Iterated Function Systems

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TitreBoundary Controlled Iterated Function Systems
Type de publicationConference Paper
Year of Publication2015
AuteursSokolov D, Gouaty G, Gentil C, Mishkinis A
EditorBoissonnat JD, Cohen A, Gibaru O, Gout C, Lyche T, Mazure ML, Schumaker LL
Conference NameCURVES AND SURFACES
PublisherInst Natl Rech Informatique Automatique; Lab Jean Kuntzmann; Lab Sci Informat Syst; Maison Modelisat Simulat Nanosciences Environm
Conference LocationHEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
ISBN Number978-3-319-22804-4; 978-3-319-22803-7
Mots-clésB-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.

DOI10.1007/978-3-319-22804-4_29