Fractal interpolation of images and volumes

Author

Price, Jeffery R. ; Hayes, Monson H., III

Author_Institution

Center for Signal & Image Process., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

2

fYear

1998

fDate

1-4 Nov. 1998

Firstpage

1698

Abstract

We present a method for constructing fractal interpolation surfaces and volumes through points sampled on rectangular lattices. Unlike other surface constructions ours uses rectangular rather than triangular tilings, halving the number of required parameters. This method is no more complex than previous constructions and yet does not suffer from their limitations. Additionally, our construction extends easily to volumetric interpolation, for which there were no previous (continuous) constructions. In addition to an example with synthetic data, a real image is interpolated using a fractal surface. Limitations and possible improvements are mentioned.

Keywords

fractals; image reconstruction; image sampling; interpolation; fractal interpolation surfaces; fractal interpolation volumes; image sampling; real image; rectangular lattices; rectangular tilings; surface construction; synthetic data; volumetric interpolation; Data visualization; Fractals; Image processing; Interpolation; Lattices; Rendering (computer graphics); Signal processing; Smoothing methods; Speech; Surface fitting;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems & Computers, 1998. Conference Record of the Thirty-Second Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-7803-5148-7

Type

conf

DOI

10.1109/ACSSC.1998.751615

Filename

751615