1998•Unpublished venueOpen access

On Approximating Rough Curves with Fractal Functions

Wayne O. Cochran, John C. Hart, Patrick J. Flynn

Abstract

Fractal functions are explored as a representation for rough data in computer graphics. Two new techniques for using fractal interpolation functions to approximate rough functions and curves are introduced. The first is based on a Hough transform of fractal function transformation parameters. The second is based on previous techniques in fractal image compression. These techniques are then demonstrated on the task of recovering the parameters of a fractal function, approximating a rough function and approximating the boundary of a leaf.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Fractal, Fractal compression, Fractal transform, Interpolation (computer graphics), Transformation (genetics), Mathematics, Fractal analysis, Boundary (topology)