Dimensionality reduction is an important issue in data mining and machine learning. Traina[1] proposed a feature selection algorithm to select the most important attributes for a given set of n-dimensional vectors based on correlation fractal dimension. The author used a kind of multi-dimensional “quad-tree” structure to compute the fractal dimension. Inspired by his work, we propose a new and ...

PURPOSE The visual evoked potential (VEP) provides a time series signal response to an external visual stimulus at the location of the visual cortex. The major VEP signal components, peak latency and amplitude, may be affected by disease processes. Additionally, the VEP contains fine detailed and non-periodic structure, of presently unclear relevance to normal function, which may be quantified ...

PURPOSE To assess bony trabecular changes potentially caused by loading stress around dental implants using fractal dimension analysis. METHODS Fractal dimensions were measured in 48 subjects by comparing radiographs taken immediately after prosthesis delivery with those taken 1 year after functional loading. Regions of interest were isolated, and fractal analysis was performed using the box-...

This paper reports the results obtained in a speaker identification system based in Bhattacharrya distance, which combines LPderived cepstral coefficients, with a nonlinear dynamic feature namely fractal dimension. The nonlinear dynamic analysis starts with the phase espace reconstruction, and the fractal dimension of the correspondent attractor trajectory is estimated. This analysis is perform...

Shape is one of the most important visual attributes used to characterize objects, playing a important role in pattern recognition. There are various approaches to extract relevant information of a shape. An approach widely used in shape analysis is the complexity, and Fractal Dimension and Multi-Scale Fractal Dimension are both well-known methodologies to estimate it. This papers presents a co...

To process the vibration signal fault diagnosis automatically and effectively, a method to calculate the generalized fractal dimension (Dq) based on the traditional G-P correlation dimension algorithm is presented. First, the vibration signal, a kind of random fractal that meets the statistical self-similarity, is reconstructed according to the phase space reconstruction theory. Second, for var...

Together with rapid development in GI science recent decades, the fractal geometry represents a powerful tool for various geographic analyses and studies. This study points the land-cover areas with extreme values of fractal dimension in Olomouc region. This leads, together with consequent statistical analyses, to result that according to fractal dimension it is possible to distinguish (or at l...

Since the end of the Seventies, following work of the French mathematician Mandelbrot, We are witnessing the true exploitation of the interest expressed by the scientific community for the fractals objects. The aim of this paper is to introduce the fractal theory by the calculation of the fractal dimension in the radiographic images. We implement for that, the box counting method for the segmen...