Results 11 to 20 of about 3,191,545 (316)

An improved fractal image compression approach by using iterated function system and genetic algorithm

open access: yesComputers and Mathematics With Applications, 2006
This paper presents an improved method of generating a binary image affine IFS (iterated function system) by using genetic algorithm. We adopt a natural variable-length genotype encoding to represent an individual.
Yang Zheng, Guanrong Liu, Xiaoxiao Niu
semanticscholar   +3 more sources

Quantum iterated function systems [PDF]

open access: yesPhysical Review E, 2003
12 pages, 1 figure ...
Łoziński, Artur   +2 more
openaire   +4 more sources

Fractal Interpolation Using Harmonic Functions on the Koch Curve

open access: yesFractal and Fractional, 2021
The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri   +2 more
doaj   +1 more source

Fractal Dimension of Fractal Functions on the Real Projective Plane

open access: yesFractal and Fractional, 2023
In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain   +2 more
doaj   +1 more source

Dimension estimates for $C^1$ iterated function systems and repellers. Part I

open access: yesErgodic Theory and Dynamical Systems, 2022
This is the first paper in a two-part series containing some results on dimension estimates for $C^1$ iterated function systems and repellers. In this part, we prove that the upper box-counting dimension of the attractor of any $C^1$ iterated ...
De-Jun Feng, K. Simon
semanticscholar   +1 more source

Existence of Picard operator and iterated function system

open access: yesApplied General Topology, 2020
In this paper, we define weak θm− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness of attractor for a weak θm− iterated ...
Medha Garg, Sumit Chandok
doaj   +1 more source

Digital Video Compression Using DCT-Based Iterated Function System (IFS)

open access: yesTikrit Journal of Pure Science, 2023
Large video files processing involves a huge volume of data. The codec, storage systems and network needs resource utilization, so it becomes important to minimize the used memory space and time to distribute these videos over the Internet using ...
Nevart A. Minas, Faten H. Al-Qadhee
doaj   +1 more source

Markov Characteristics for IFSP and IIFSP [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
As the research object of modern nonlinear science‎, ‎a fractal theory has been an important research‎ ‎content for scholars since it comes into the world‎. ‎Moreover‎, ‎iterated function system (IFS) is a significant research object of fractal theory‎. ‎
Nan Jiang, Wei Li, Fei Li, Juntao Wang
doaj   +1 more source

Orbital fuzzy iterated function systems

open access: yesFuzzy Sets and Systems, 2023
In this paper we introduce the concept of orbital fuzzy iterated function system and prove that the fuzzy operator associated to such a system is weakly Picard. An example is provided.
Alexandru Mihail, Irina Savu
openaire   +2 more sources

A class of continua that are not attractors of any IFS [PDF]

open access: yes, 2012
This paper presents a sufficient condition for a continuum in $R^n$ to be embeddable in $R^n$ in such a way that its image is not an attractor of any iterated function system.
Kulczycki, Marcin, Nowak, Magdalena
core   +2 more sources

Home - About - Disclaimer - Privacy