Towards realistic modeling and rendering of 3-D escape-time deterministic fractal shapes

Author

Karam, Hussein ; Nakajima, Masayuki

Author_Institution

Fac. of Sci., Ain Shams Univ., Cairo, Egypt

fYear

2001

fDate

2001

Firstpage

565

Lastpage

574

Abstract

An escape-time method was introduced to generate the images of Julia and Mandelbrot sets and has been applied to visualize attractors of iterated function systems (IFS). Rendering deterministic fractal shapes by IFS escape-time methods suffer from some problems: the intersection of a ray with a fractal surface is not easy, surface normals are undefined, and the object aliases at all sampling resolutions. We propose a method called direct continuous escape-time for rendering deterministic fractals and attempt to recover these rendering problems in a reasonable time. The simple representation and the speed of computation of our algorithm makes rendering deterministic fractals reliable for interactive machines

Keywords

antialiasing; fractals; ray tracing; rendering (computer graphics); trees (mathematics); 3D escape-time deterministic fractal shapes; Julia; Mandelbrot sets; direct continuous escape-time; interactive machines; iterated function systems; realistic modeling; rendering; surface normals; Fractals; Multimedia systems; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Virtual Systems and Multimedia, 2001. Proceedings. Seventh International Conference on

Conference_Location

Berkeley, CA

Print_ISBN

0-7695-1402-2

Type

conf

DOI

10.1109/VSMM.2001.969714

Filename

969714