![]() ![]() Esteban, Computer Methods and Programs in Biomedicine, 104 Issue 3 (2011) 452-460. The structure of 'native' 4D objects is based on the classic principle of 'property/value' pairs. Felea, Computer Physics Communications, 180 (2009) 1999-2001. 4D Documentation Variables, fields or expressions of the Object type can contain various types of data. Running time: In a first approximation, the algorithm is linear. Hyper-Fractal Analysis-Test on the Sierpinski hypertetrahedron 4D gasket (D f=ln(5)/ln(2)≅2.32). Implementation of χ 2 test as a criterion for deciding whether an object is fractal or not. The algorithm could be extended, with minimum effort, to higher number of dimensions.Įasy integration with other applications by using the very simple comma separated values file format for storing multi-dimensional images. To implement the 4D virtual trackball, the interior of a unit sphere. the Sierpinski hypertetrahedron gasket, D f=ln(5)/ln(2) (Fig. The orientation of the 4D object is internally represented as a 4×4 rotation matrix. The application was tested on 4D objects with known dimension, e.g. ![]() The box-counting algorithm was extended in order to support 4D objects, stored in comma separated values files.Ī new form was added for generating 2D, 3D, and 4D test data. This might be of interest in analyzing the evolution in time of 3D images. On first glance, the sphere just looks like a circle to the square, and the square cant comprehend what the sphere means when he explains 3-D objects. Reasons for new version: Inspired by existing applications of 3D fractals in biomedicine, we extended the optimized version of the box-counting algorithm to the four-dimensional case. ![]() Solution method: Optimized implementation of the 4D box-counting algorithm. Nature of problem: Estimating the fractal dimension of 4D images. 181 (2010) 831-832ĭoes the new version supersede the previous version? Yes Journal reference of previous version: Comput. Programming language: MS Visual Basic 6.0Ĭatalogue identifier of previous version: AEEG_v2_0 of bytes in distributed program, including test data, etc.: 12544491 of lines in distributed program, including test data, etc.: 745761 Licensing provisions: Standard CPC license, Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. The following images link to interactive models of some of the four-dimensional objects weve studied. New version program summaryProgram title: Hyper-Fractal Analysis (Fractal Analysis v03) This might be of interest in biomedicine, for analyzing the evolution in time of three-dimensional images. The program was extended for working with four-dimensional objects stored in comma separated values files. This work presents a new version of a Visual Basic 6.0 application for estimating the fractal dimension of images and 3D objects (Grossu et al. ![]()
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