IFS Fractals the attractors of Iterated Function Systems in Euclidean space have motivated plenty of investigation to date, due to their simplicity and applicability in various fields, such as the modeling of plants in computer graphics, and the design of fractal antennas. The statement and resolution of the Fractal-Line Intersection Problem is imperative for a more efficient treatment of appli...

The IFS is a scheme for describing and manipulating complex fractal attractors using simple mathematical models. More precisely, the most popular “fractal –based” algorithms for both representation and compression of computer images have involved some implementation of the method of Iterated Function Systems (IFS) on complete metric spaces. In this paper a new generalized space called Multi-Fuz...

Consider the problem of calculating the fractal dimension of a set X consisting of all infinite sequences S over a finite alphabet Σ that satisfy some given condition P on the asymptotic frequencies with which various symbols from Σ appear in S. Solutions to this problem are known in cases where (i) the fractal dimension is classical (Hausdorff or packing dimension), or (ii) the fractal dimensi...

PURPOSE This study describes how to identify the coincidence of desired planning isodose curves with film experimental results by using a mathematical fractal dimension characteristic method to avoid the errors caused by visual inspection in the intensity modulation radiation therapy (IMRT). METHODS AND MATERIALS The isodose curves of the films delivered by linear accelerator according to Pla...

The high complexity of remotely sensed images and measurements, provided by the last generation of sensors, demands new techniques for scene understanding and analysis. The paper introduces topics in multisensor and synthetic images fusion. The fractal geometry is applied for unknown information modelling. Integrated techniques in computer graphics and computer vision are used. A new method is ...

Abstract: Fractal interpolation is a new interpolation method, the corresponding vertical scale factor determines the shape of fractal interpolation functions and features. Therefore, choosing the appropriate vertical scale factor, can fit the real rough curve precisely. This paper primarily studies the change of the fractal interpolation curve when giving a small perturbation on vertical scale...