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Mapping Fatou-Julia Iterations
- Source :
- Proceedings of the 2018 10th International Conference on Information Management and Engineering.
- Publication Year :
- 2018
- Publisher :
- ACM, 2018.
-
Abstract
- A new method of fractals construction based on Fatou-Julia iteration is proposed. We develop a non-ordinary way to map fractal into a new fractal, where the mapping function is involved in the dynamics of the generated formula such that the modification does not violate the Julia and Fatou recipe for creating fractals. The method is applied for both Mandelbrot and Julia sets, and we follow the same technique of determining the fractal set using in the original iteration. The results of this paper are expected to have beneficial effects on many fields such as computer graphics and 3D printing technologies. Ministry of Education, Libya
- Subjects :
- Mathematics::Dynamical Systems
Mathematics::Complex Variables
Computer science
02 engineering and technology
Function (mathematics)
Mandelbrot set
021001 nanoscience & nanotechnology
Julia set
Computer graphics
Algebra
Fractal
Computer Science, Theory & Methods
Computer Science
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
Fractal set
0210 nano-technology
Beneficial effects
ComputingMethodologies_COMPUTERGRAPHICS
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Proceedings of the 2018 10th International Conference on Information Management and Engineering
- Accession number :
- edsair.doi.dedup.....b01bf8904ac143c8575120068af7830a