Color texture analysis based on fractal descriptors

Color texture classification is an important step in image segmentation and recognition. The color information is especially important in textures of natural scenes, such as leaves surfaces, terrains models, etc. In this paper, we propose a novel approach based on the fractal dimension for color texture analysis. The proposed approach investigates the complexity in R, G and B color channels to characterize a texture sample. We also propose to study all channels in combination, taking into consideration the correlations between them. Both these approaches use the volumetric version of the Bouligand-Minkowski Fractal Dimension method. The results show a advantage of the proposed method over other color texture analysis methods. (C) 2011 Elsevier Ltd. All rights reserved.

Fractal descriptors based on Fourier spectrum applied to texture analysis

This work proposes the development and study of a novel technique lot the generation of fractal descriptors used in texture analysis. The novel descriptors are obtained from a multiscale transform applied to the Fourier technique of fractal dimension calculus. The power spectrum of the Fourier transform of the image is plotted against the frequency in a log-log scale and a multiscale transform is applied to this curve. The obtained values are taken as the fractal descriptors of the image. The validation of the proposal is performed by the use of the descriptors for the classification of a dataset of texture images whose real classes are previously known. The classification precision is compared to other fractal descriptors known in the literature. The results confirm the efficiency of the proposed method. (C) 2012 Elsevier B.V. All rights reserved.

Shape analysis using fractal dimension: A curvature based approach

The present work shows a novel fractal dimension method for shape analysis. The proposed technique extracts descriptors from a shape by applying a multi-scale approach to the calculus of the fractal dimension. The fractal dimension is estimated by applying the curvature scale-space technique to the original shape. By applying a multi-scale transform to the calculus, we obtain a set of descriptors which is capable of describing the shape under investigation with high precision. We validate the computed descriptors in a classification process. The results demonstrate that the novel technique provides highly reliable descriptors, confirming the efficiency of the proposed method. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4757226]

Probing the anomalous extinction of four young star clusters: the use of colour-excess, main-sequence fitting and fractal analysis

Aims. We studied four young star clusters to characterise their anomalous extinction or variable reddening and asses whether they could be due to contamination by either dense clouds or circumstellar effects. Methods. We evaluated the extinction law (R-V) by adopting two methods: (i) the use of theoretical expressions based on the colour-excess of stars with known spectral type; and (ii) the analysis of two-colour diagrams, where the slope of the observed colour distribution was compared to the normal distribution. An algorithm to reproduce the zero-age main-sequence (ZAMS) reddened colours was developed to derive the average visual extinction (A(V)) that provides the closest fit to the observational data. The structure of the clouds was evaluated by means of a statistical fractal analysis, designed to compare their geometric structure with the spatial distribution of the cluster members. Results. The cluster NGC 6530 is the only object of our sample affected by anomalous extinction. On average, the other clusters suffer normal extinction, but several of their members, mainly in NGC 2264, seem to have high R-V, probably because of circumstellar effects. The ZAMS fitting provides A(V) values that are in good agreement with those found in the literature. The fractal analysis shows that NGC 6530 has a centrally concentrated distribution of stars that differs from the substructures found in the density distribution of the cloud projected in the A(V) map, suggesting that the original cloud was changed by the cluster formation. However, the fractal dimension and statistical parameters of Berkeley 86, NGC 2244, and NGC 2264 indicate that there is a good cloud-cluster correlation, when compared to other works based on an artificial distribution of points.

An estimate on the fractal dimension of attractors of gradient-like dynamical systems

This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach space in terms of the maximum of the dimension of the local unstable manifolds of the isolated invariant sets, Lipschitz properties of the semigroup and the rate of exponential attraction. We also generalize this result for some special evolution processes, introducing a concept of Morse decomposition with pullback attractivity. Under suitable assumptions, if (A, A*) is an attractor-repeller pair for the attractor A of a semigroup {T(t) : t >= 0}, then the fractal dimension of A can be estimated in terms of the fractal dimension of the local unstable manifold of A*, the fractal dimension of A, the Lipschitz properties of the semigroup and the rate of the exponential attraction. The ingredients of the proof are the notion of generalized gradient-like semigroups and their regular attractors, Morse decomposition and a fine analysis of the structure of the attractors. As we said previously, we generalize this result for some evolution processes using the same basic ideas. (C) 2012 Elsevier Ltd. All rights reserved.

A comparative study on multiscale fractal dimension descriptors

Fractal theory presents a large number of applications to image and signal analysis. Although the fractal dimension can be used as an image object descriptor, a multiscale approach, such as multiscale fractal dimension (MFD), increases the amount of information extracted from an object. MFD provides a curve which describes object complexity along the scale. However, this curve presents much redundant information, which could be discarded without loss in performance. Thus, it is necessary the use of a descriptor technique to analyze this curve and also to reduce the dimensionality of these data by selecting its meaningful descriptors. This paper shows a comparative study among different techniques for MFD descriptors generation. It compares the use of well-known and state-of-the-art descriptors, such as Fourier, Wavelet, Polynomial Approximation (PA), Functional Data Analysis (FDA), Principal Component Analysis (PCA), Symbolic Aggregate Approximation (SAX), kernel PCA, Independent Component Analysis (ICA), geometrical and statistical features. The descriptors are evaluated in a classification experiment using Linear Discriminant Analysis over the descriptors computed from MFD curves from two data sets: generic shapes and rotated fish contours. Results indicate that PCA, FDA, PA and Wavelet Approximation provide the best MFD descriptors for recognition and classification tasks. (C) 2012 Elsevier B.V. All rights reserved.

Quantification of fractal dimension and Shannon’s entropy in histological diagnosis of prostate cancer

Background: Prostate cancer is a serious public health problem that affects quality of life and has a significant mortality rate. The aim of the present study was to quantify the fractal dimension and Shannon’s entropy in the histological diagnosis of prostate cancer. Methods: Thirty-four patients with prostate cancer aged 50 to 75 years having been submitted to radical prostatectomy participated in the study. Histological slides of normal (N), hyperplastic (H) and tumor (T) areas of the prostate were digitally photographed with three different magnifications (40x, 100x and 400x) and analyzed. The fractal dimension (FD), Shannon’s entropy (SE) and number of cell nuclei (NCN) in these areas were compared. Results: FD analysis demonstrated the following significant differences between groups: T vs. N and H vs. N groups (p < 0.05) at a magnification of 40x; T vs. N (p < 0.01) at 100x and H vs. N (p < 0.01) at 400x. SE analysis revealed the following significant differences groups: T vs. H and T vs. N (p < 0.05) at 100x; and T vs. H and T vs. N (p < 0.001) at 400x. NCN analysis demonstrated the following significant differences between groups: T vs. H and T vs. N (p < 0.05) at 40x; T vs. H and T vs. N (p < 0.0001) at 100x; and T vs. H and T vs. N (p < 0.01) at 400x. Conclusions: The quantification of the FD and SE, together with the number of cell nuclei, has potential clinical applications in the histological diagnosis of prostate cancer.

Questionário sobre dificuldades comunicativas percebidas por pais de crianças do espectro do autismo

OBJETIVO: Elaborar um questionário para o levantamento de dificuldades comunicativas percebidas por pais e/ou cuidadores de crianças do espectro do autismo em relação a seus filhos. MÉTODOS: Os aspectos específicos abordados no questionário foram identificados a partir da literatura e da experiência clínica das autoras em dois serviços especializados. As questões foram organizadas segundo diferentes domínios e as respostas registradas numa escala tipo Likert. Foi realizado um estudo piloto com 40 pais, 20 pais de crianças do espectro do autismo e 20 pais de crianças sem queixas de linguagem, como forma de verificar a aplicabilidade do questionário construído e sua utilidade na identificação de dificuldades específicas da população alvo. Foi calculado o nível de concordância das questões e os resultados dos grupos foram comparados entre si (teste t Student). RESULTADOS: O questionário foi desenvolvido de maneira a abranger aspectos fundamentais para o relacionamento interpessoal, tanto no âmbito comunicativo quanto social. Foi dividido em 24 questões fechadas que abrangem quatro domínios; e uma questão aberta, com espaço para que os pais relatassem algo relevante e que não tenha sido perguntado. O estudo possibilitou testar a compreensão do instrumento e a análise estatística indicou que 19 questões apresentaram diferença. CONCLUSÃO: O questionário elaborado identificou diferenças na percepção e atitude de pais de crianças do espectro do autismo e de crianças sem queixa de linguagem, em relação às dificuldades de comunicação com seus filhos. Dessa forma, mostrou-se útil para o levantamento dessas dificuldades em um grupo maior de indivíduos.

Functional Communication Profile - Revised: uma proposta de caracterização objetiva de crianças e adolescentes do espectro do autismo

OBJETIVO: Caracterizar objetivamente as alterações de crianças e adolescentes incluídos no espectro do autismo de acordo com o grau de severidade definido a partir das respostas ao Functional Communication Profile - Revised (FCP-R). MÉTODOS: Foram selecionadas 50 crianças (idade média 7 anos e 11 meses) com diagnósticos no espectro do autismo que foram avaliados segundo os critérios do FCP-R. As respostas obtidas foram pontuadas e classificadas de acordo com a severidade e realizada análise estatística pertinente. RESULTADOS: A caracterização dessa população evidenciou dados concordantes com a literatura, mostrando prejuízos nas áreas de linguagem (expressiva e receptiva), comportamento e pragmática, principalmente. Os indivíduos que não possuem habilidades verbais evidenciaram, ainda, alterações referentes aos domínios fala e fluência. CONCLUSÃO: O FCP-R foi sensível para caracterizar a população estudada, mostrando-se ainda mais eficaz para a avaliação individualizada.

Comparação dos instrumentos Childhood Autism Rating Scale e Autism Behavior Checklist na identificação e caracterização de indivíduos com distúrbios do espectro autístico

OBJETIVO: Comparar as respostas dos instrumentos Childhood Autism Rating Scale e Autism Behavior Checklist na identificação e caracterização de indivíduos com Distúrbios do Espectro Autístico. MÉTODOS: Participaram 28 indivíduos que estavam em atendimento fonoaudiológico e possuíam diagnósticos inseridos no Espectro do Autismo. Todos foram avaliados por meio dos instrumentos Autism Behavior Checklist e Childhood Autism Rating Scale a partir de informações obtidas, respectivamente, com pais e terapeutas. Os dados foram analisados estatisticamente em relação à concordância das respostas obtidas. Foram considerados concordantes os resultados de alta ou moderada probabilidade para autismo no Autism Behavior Checklist e com autismo leve-moderado ou grave na Childhood Autism Rating Scale, e respostas de baixa probabilidade no Autism Behavior Checklist e sem autismo na Childhood Autism Rating Scale. RESULTADOS: Houve concordância na maior parte das respostas obtidas. Casos em que houve discordância entre os resultados obtidos a partir dos protocolos corroboram dados da literatura, evidenciando que os instrumentos podem não ser suficientes, quando aplicados isoladamente para a definição do diagnóstico. CONCLUSÃO: Enquanto a Childhood Autism Rating Scale pode não diagnosticar crianças efetivamente autistas, o Autism Behavior Checklist pode incluir como autistas, crianças com outros distúrbios. Portanto, recomenda-se o uso complementar dos dois instrumentos.

Variação do espectro das ondas de Rossby na região da frente Brasil-Malvinas

A média global da variação na quantidade de calor armazenado nos oceanos observada recentemente é positiva (Cabanes et al., 2001; Cazenave & Nerem, 2004), porém, sua distribuição espacial não é homogênea (Polito & Sato, 2008). O calor armazenado está associado, via expansão térmica, à altura da coluna d'água. Portanto, variações espaciais na tendência do calor armazenado tem como consequência mudanças na inclinação da superfície que, por sua vez, implicam em variações nas correntes geostróficas e portanto na energia cinética associada a fenômenos de meso e larga escala. Polito & Sato (2008) observaram tendências predominantemente positivas na amplitude de ondas de Rossby e vórtices de mesoescala nos últimos 13 anos, sugerindo que estes eventos estão, em uma média global, ficando mais energéticos. Estas tendências variam regionalmente e a variabilidade espacial é mais pronunciada próximo da extensão para leste das correntes de contorno oeste (CCO), sugerindo um aumento do cisalhamento da velocidade geostrófica. O afastamento das CCO da costa provoca, na região de sua ocorrência, intensa atividade vortical e meandramento, constituindo, do ponto de vista da anomalia da altura da superfície do mar (AASM), as áreas mais energéticas do planeta. O exemplo no Atlântico Sul é a separação da Corrente do Brasil (CB) em sua região de encontro com a Corrente das Malvinas (CM). A CB flui quase-meridionalmente para sul até aproximadamente 36°S, iniciando seu afastamento da costa até 38°S devido ao encontro de suas águas quentes e salinas com as águas de origem subpolar da CM, conforme Garzoli & Garrafo (1989). Essa região recebe o nome de Confluência Brasil-Malvinas (CBM).

Characterization of nanostructured material images using fractal descriptors

This work presents a methodology to the morphology analysis and characterization of nanostructured material images acquired from FEG-SEM (Field Emission Gun-Scanning Electron Microscopy) technique. The metrics were extracted from the image texture (mathematical surface) by the volumetric fractal descriptors, a methodology based on the Bouligand-Minkowski fractal dimension, which considers the properties of the Minkowski dilation of the surface points. An experiment with galvanostatic anodic titanium oxide samples prepared in oxalyc acid solution using different conditions of applied current, oxalyc acid concentration and solution temperature was performed. The results demonstrate that the approach is capable of characterizing complex morphology characteristics such as those present in the anodic titanium oxide.

Texture analysis by multi-resolution fractal descriptors

This work proposes a novel texture descriptor based on fractal theory. The method is based on the Bouligand- Minkowski descriptors. We decompose the original image recursively into four equal parts. In each recursion step, we estimate the average and the deviation of the Bouligand-Minkowski descriptors computed over each part. Thus, we extract entropy features from both average and deviation. The proposed descriptors are provided by concatenating such measures. The method is tested in a classification experiment under well known datasets, that is, Brodatz and Vistex. The results demonstrate that the novel technique achieves better results than classical and state-of-the-art texture descriptors, such as Local Binary Patterns, Gabor-wavelets and co-occurrence matrix.

Multiscale fractal descriptors applied to nanoscale images

This work proposes the application of fractal descriptors to the analysis of nanoscale materials under different experimental conditions. We obtain descriptors for images from the sample applying a multiscale transform to the calculation of fractal dimension of a surface map of such image. Particularly, we have used the Bouligand-Minkowski fractal dimension. We applied these descriptors to discriminate between two titanium oxide films prepared under different experimental conditions. Results demonstrate the discrimination power of proposed descriptors in such kind of application.