Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
computer graphics
image compression modeling natural objects |
| gptkbp:category |
fractal generation methods
|
| gptkbp:defines |
A finite set of contraction mappings on a complete metric space.
|
| gptkbp:field |
dynamical systems
fractal geometry |
| gptkbp:form |
fixed point theorem applies
produces unique attractor |
| gptkbp:hasComponent |
gptkb:topology
affine transformations probability weights |
| https://www.w3.org/2000/01/rdf-schema#label |
Iterated Function Systems
|
| gptkbp:introduced |
gptkb:John_Hutchinson
|
| gptkbp:introducedIn |
1981
|
| gptkbp:notableExample |
gptkb:Sierpinski_triangle
gptkb:Cantor_set gptkb:Koch_curve gptkb:Barnsley_fern |
| gptkbp:relatedTo |
gptkb:Barnsley_fern
chaos theory self-similarity deterministic algorithm attractors random iteration algorithm |
| gptkbp:usedFor |
generating fractals
|
| gptkbp:bfsParent |
gptkb:Michael_Barnsley
|
| gptkbp:bfsLayer |
8
|