Abstract
In this paper 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1698-1702 |
| Number of pages | 5 |
| Journal | Conference Record of the Asilomar Conference on Signals, Systems and Computers |
| Volume | 2 |
| State | Published - 1998 |
| Event | Proceedings of the 1998 32nd Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) - Pacific Grove, CA, USA Duration: Nov 1 1998 → Nov 4 1998 |