SPACE--FILLING CURVES GENERATED BY FRACTAL INTERPOLATION FUNCTIONS
V. DRAKOPOULOS
Department of Informatics, Theoretical Informatics, University of Athens,
Panepistimioupolis, 157 71, Athens, Greece
L. DALLA
Department of Mathematics, University of Athens, Panepistimioupolis, 157 71,
Athens, Greece
Interpolation formulas are the starting points in the
derivations of many methods in several areas of Numerical Analysis.
The goal is always the same: to represent the data by a classical geometrical
entity.
Fractal interpolation functions provide a new means for fitting experimental
data and their graphs can be used to approximate natural scenes.
We show how one can construct space-filling curves using linear fractal
interpolation functions.
These curves result from the projection of the attractor of an iterated
function system