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Function Representation with Circle Inversion Map Systems.
- Source :
- AIP Conference Proceedings; 2017, Vol. 1798 Issue 1, p1-7, 7p, 1 Diagram, 1 Chart, 2 Graphs
- Publication Year :
- 2017
-
Abstract
- The fractals literature develops the now well-known concept of local iterated function systems (using affine maps) with grey-level maps (LIFSM) as an approach to function representation in terms of the associated fixed point of the so-called fractal transform. While originally explored as a method to achieve signal (and 2-D image) compression, more recent work has explored various aspects of signal and image processing using this machinery. In this paper, we develop a similar framework for function representation using circle inversion map systems. Given a circle C with centre õ and radius r, inversion with respect to C transforms the point p to the point p′ such that p and p′ lie on the same radial half-line from õ and d(õ,p)d(õ; p′) = r², where d is Euclidean distance. We demonstrate the results with an example. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1798
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 121024366
- Full Text :
- https://doi.org/10.1063/1.4975641