Information
- Publication Type: Technical Report
- Workgroup(s)/Project(s): not specified
- Date: August 1994
- Number: TR-186-2-94-3
- Keywords: iterated function system (IFS), nonlinear, interactive design, fractals, rendering
Abstract
The basic requirement for the functions of an Iterated Function System (IFS for short) is contractivity. Nevertheless the majority of recent scientific investigations is concentrating on IFSs defined through a set of contractive linear functions. Simpler handling of this kind of functions and a more predictable result is the main reason for this approach. In this work we use distorted grids (representing nonlinear functions) to specify an IFS with a higher degree of flexibility and a higher modelling capability. A program for modeling these grids with so-called high-level operations is presented. Attention is directed to the interactivity of designing the IFS and rendering its limit set. Therefore a z-Buffer for displaying the result of a stochastic algorithm is included. Example images designed with the implemented software system are presented.Additional Files and Images
No additional files or images.
Weblinks
No further information available.BibTeX
@techreport{Groeller-1994-IDN, title = "Interactive Design of Nonlinear Functions for Iterated Function Systems", author = "Eduard Gr\"{o}ller and Rainer Wegenkittl", year = "1994", abstract = "The basic requirement for the functions of an Iterated Function System (IFS for short) is contractivity. Nevertheless the majority of recent scientific investigations is concentrating on IFSs defined through a set of contractive linear functions. Simpler handling of this kind of functions and a more predictable result is the main reason for this approach. In this work we use distorted grids (representing nonlinear functions) to specify an IFS with a higher degree of flexibility and a higher modelling capability. A program for modeling these grids with so-called high-level operations is presented. Attention is directed to the interactivity of designing the IFS and rendering its limit set. Therefore a z-Buffer for displaying the result of a stochastic algorithm is included. Example images designed with the implemented software system are presented.", month = aug, number = "TR-186-2-94-3", address = "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria", institution = "Institute of Computer Graphics and Algorithms, Vienna University of Technology ", note = "human contact: technical-report@cg.tuwien.ac.at", keywords = "iterated function system (IFS), nonlinear, interactive design, fractals, rendering", URL = "https://www.cg.tuwien.ac.at/research/publications/1994/Groeller-1994-IDN/", }