IFS fractal interpolation for 2D and 3D visualization

Author

Wittenbrink, Craig M.

Author_Institution

Baskin Center for Comput. Eng. & Inf. Sci., California Univ., Santa Cruz, CA, USA

fYear

1995

fDate

29 Oct-3 Nov 1995

Firstpage

77

Abstract

Reconstruction is used frequently in visualization of one, two, and three dimensional data. Data uncertainty is typically ignored, and a deficiency of many interpolation schemes is smoothing which may indicate features or characteristics of the data that are not there. The author investigates the use of iterated function systems (IFS´s) for interpolation. He shows new derivations for fractal interpolation in two and three dimensional scalar data, and new point and polytope rendering algorithms with tremendous speed advantages over ray tracing. The interpolations may be used to give an indication of the uncertainty of the data, statistically represent the data at a variety of scales, allow tunability from the data, and may allow more accurate data analysis

Keywords

data visualisation; fractals; interpolation; iterative methods; rendering (computer graphics); 2D visualization; 3D visualization; IFS fractal interpolation; accurate data analysis; data uncertainty; image reconstruction; interpolation schemes; iterated function systems; polytope rendering algorithms; three dimensional data; three dimensional scalar data; tunability; Data engineering; Data visualization; Fractals; Graphics; Interpolation; Ocean temperature; Sea surface; Smoothing methods; Surface reconstruction; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Visualization, 1995. Visualization '95. Proceedings., IEEE Conference on

Conference_Location

Atlanta, GA

ISSN

1070-2385

Print_ISBN

0-8186-7187-4

Type

conf

DOI

10.1109/VISUAL.1995.480798

Filename

480798