Quantifying the properties of macromolecules is a prerequisite for understanding their roles in biochemical processes. One of the less-explored geometric features of macromolecules is molecular surface irregularity, or 'roughness', which can be measured in terms of fractal dimension (D). In this study, we demonstrate that surface roughness correlates with ligand binding potential. We quantified...

Context. This work examines the relation between the fractal properties of the photospheric magnetic patterns and those of the coronal magnetic fields in solar active regions. Aims. We investigate whether there is any correlation between the fractal dimensions of the photospheric structures and the magnetic discontinuities formed in the corona. Methods. To investigate the connection between the...

The time series data of 31 wildfires in 2012 in the US were analyzed. The fractal dimensions (FD) of the wildfires during spreading were studied and their geological features were identified. A growth model based on the cellular automata method is proposed here. Numerical study was performed and is shown to give good agreement with the fractal dimensions and scaling behaviors of the correspondi...

Using Monte Carlo simulations, we study the distributions of the 3-block mass N3 in four-, five-, and six-dimensional percolation systems. Because the probability of creating large 3-blocks in these dimensions is very small, we use a "go with the winners" method of statistical enhancement to simulate configurations having probability as small as 10(-30). In earlier work, the fractal dimensions ...

Water samples from the Scheldt estuary were collected in three fractions: (a) unfiltered water, (b) water filtered through a 50 ìm net and (c) water filtered through a 300 ìm net. Particles easily recognisable from the majority of the amorphous particles were isolated and their geometric dimensions measured. From the measurements, shape factors were calculated. Measurement of fractal dimensions...

Signature plays its authorization role in almost every document. Proper care should be taken for the verification of the genuineness of the signature in legal documents. Signature verification scheme can be online or offline based on the acquisition type. A novel method for offline signature verification in bank cheques is proposed. It is found out that using fractal dimensions for verification...

Basic properties of 2D-nonlinear scale-space representations of images are considered. First, local-energy filters are used to estimate the Hausdorff dimension, , of images. A new fractal dimension, , defined as a property of 2D-curvature representations on multiple scales, is introduced as a natural extension of traditional fractal dimensions, and it is shown that the two types of fractal dime...

Lindenmayer Grammars have been applied frequently to represent fractal curves. In this work, the ideas behind Grammar Evolution are used to automatically generate and evolve Lindenmayer Grammars that represent fractal curves with a fractal dimension that approximates a pre-defined required value. For many dimensions, this is a non trivial task to be performed manually. The procedure we are prop...

Among many biometrics approaches, iris recognition is known for its high reliability, but as databases grow ever larger, an approach is needed that can reduce matching time. This can be easily achieved by using iris classification This paper presents fractal dimension box counting method for classifying the iris images into four categories according to texture pattern. Initially eye image is lo...