1992Journal of Shanghai Normal UniversityRequires access

On Definition of Fractal and Calculation of Fractal Dimension

Ming‐Shiang Wu

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Abstract

In this paper, an unsolved and Important problem in fractals, which is the exact definition of fractal and its measurement-fractal dimension, has been solved, The calculation formalas of discrete fractal and continual fractal have been proposed. Minkowske fractal dimension and its digital algorithms, which have paralled, real time and wide used properties, have been discussed.

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What this paper is about

In this paper, an unsolved and Important problem in fractals, which is the exact definition of fractal and its measurement-fractal dimension, has been solved, The calculation formalas of discrete fractal and continual fractal have been proposed. Minkowske fractal dimension and its digital algorithms, which have paralled, real time and wide used properties, have been discussed.

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Available abstract

In this paper, an unsolved and Important problem in fractals, which is the exact definition of fractal and its measurement-fractal dimension, has been solved, The calculation formalas of discrete fractal and continual fractal have been proposed. Minkowske fractal dimension and its digital algorithms, which have paralled, real time and wide used properties, have been discussed.

Key concepts: Fractal dimension on networks, Fractal, Fractal dimension, Fractal landscape, Fractal derivative, Multifractal system, Fractal analysis, Mathematics

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