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Estimating box-dimension by sign counting

28th International Conference on Information Technology Interfaces, 2006., 2006
In this article we examine the possibility of improving the recursive algorithm for computation of box-dimension of complex sets. The known method of box-counting is simplified down to the simple sign counting operation. Our target set is a "cloud" of amorphous points since many fractal sets are given in this form.
S. Veleva, L. Kocic
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BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID

Fractals, 2009
We prove that the box dimension of the standard clothoid is equal to d = 4/3. Furthermore, this curve is Minkowski measurable, and we compute its d-dimensional Minkowski content. Oscillatory dimensions of component functions of the clothoid are also equal to 4/3.
Županović, Vesna, Žubrinić, Darko, Korkut, Luka   +2 more
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BOX DIMENSION OF A NONLINEAR FRACTAL INTERPOLATION CURVE

Fractals, 2019
In this paper, we present a delightful method to estimate the lower and upper box dimensions of a special nonlinear fractal interpolation curve. We use Rakotch contractibility and monotone property of function in the estimation of upper box dimension, and we use Rakotch contractibility, noncollinearity of interpolation points, nondecreasing property ...
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Box-counting dimension

2010
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The Box‐Counting Dimension

2012
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Typical multifractal box dimensions of measures

Fundamenta Mathematicae, 2011
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I: The Dimensions of the Box

2016
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