Results 231 to 240 of about 135,666 (260)

Measuring Renyi dimensions by a modified box algorithm

Journal of Physics A: Mathematical and General, 1992
Summary: Two different origins of statistical errors in multifractal analysis by the box algorithm are investigated. We propose a modified box algorithm reducing the statistical errors and allowing a more accurate estimation of the region where power law scaling is present.
Barth, A., Baumann, G., Nonnenmacher, T. F.   +2 more
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Computing the Box Counting Dimension

2020
From roughly the late 1980s to the mid-1990s, a very large number of papers studied computational issues in determining fractal dimensions of geometric objects, or provided variants of algorithms for calculating the fractal dimensions, or applied these techniques to real-world problems.
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A scanner for computing box dimensions in real time

ACM SIGGRAPH 2006 Sketches on - SIGGRAPH '06, 2006
We describe a new method for computing dimensions of boxes from single perspective projection images in real time. We demonstrate the proposed approach by building a scanner and using it to compute dimensions of real boxes. This can be a useful tool for companies that handle boxes in their day-by-day operations, such as carriers, airline companies, and
Leandro A. F. Fernandes, Manuel M. Oliveira   +1 more
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On the box dimension of an invariant set

Nonlinearity, 2000
This paper is devoted to the dimension of a general forward invariant set of a \(C^1\)-diffeomorphism in \(\mathbb{R}^n\) where it is only assumed that the diffeomorphism is volume increasing near the forward invariant set. The author gives a simple proof of upper bound for the box dimension of a forward invariant set of a \(C^1\)-diffeomorphism of ...
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Topological and Box Counting Dimensions

2020
A mind once stretched by a new idea never regains its original dimension. Oliver Wendell Holmes, Jr. (1841–1935), American, U.S. Supreme Court justice from 1902 to 1932.
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Network Box Counting Dimension

2020
In this chapter we begin our detailed study of fractal dimensions of a network \(\mathbb {G}\). There are two approaches to calculating a fractal dimension of \(\mathbb {G}\). One approach, applicable if \(\mathbb {G}\) is a spatially embedded network, is to treat \(\mathbb {G}\) as a geometric object and apply techniques, such as box counting or ...
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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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The Hausdorff and box dimension of fractals with disjoint projections in two dimensions

Glasgow Mathematical Journal, 2002
In this paper, we obtain an exact formula for the Hausdorff and box dimensions of a class of self-affine sets in two dimensions, namely those with disjoint projections. We prove, in particular, that fractals in this class have a Hausdorff and box dimension that is equal to the maximum Hausdorff and box dimension of one of their projections.
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Point-extended box dimension

Chaos, Solitons & Fractals, 2023
Nadir Maaroufi, El Hassan Zerouali
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A new method on Box dimension of Weyl-Marchaud fractional derivative of Weierstrass function

Chaos, Solitons and Fractals, 2021
Kui Yao, Yipeng Wu
exaly