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A Fractal-Based Approach to Network Characterization Applied to Texture Analysis

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Author(s):
Ribas, Lucas C. ; Manzanera, Antoine ; Bruno, Odemir M. ; Vento, M ; Percannella, G
Total Authors: 5
Document type: Journal article
Source: COMPUTER ANALYSIS OF IMAGES AND PATTERNS, CAIP 2019, PT I; v. 11678, p. 12-pg., 2019-01-01.
Abstract

This work proposes a new method for texture analysis that combines fractal descriptors and complex network modeling. At first, the texture image is modeled as a network. Then, the network is converted into a surface where the Cartesian coordinates and the vertex degree is mapped into a 3D point in the surface. Then, we calculate a description vector of this surface using a method inspired by the Bouligand-Minkowski technique for estimating the fractal dimension of a surface. Specifically, the descriptor corresponds to the evolution of the volume occupied by the dilated surface, when the radius of the spherical structuring element increases. The feature vector is given by the concatenation of the volumes of the dilated surface for different radius values. Our proposal is an enhancement of the classic complex networks descriptors, where only the statistical information was considered. Our method was validated on four texture datasets and the results reveal that our method leads to highly discriminative textural features. (AU)

FAPESP's process: 19/03277-0 - Pattern Recognition in Complex Networks using Distance Transform
Grantee:Lucas Correia Ribas
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 16/18809-9 - Deep learning and complex networks applied to computer vision
Grantee:Odemir Martinez Bruno
Support Opportunities: Research Grants - Research Partnership for Technological Innovation - PITE
FAPESP's process: 16/23763-8 - Modeling and analysis of complex networks for computer vision
Grantee:Lucas Correia Ribas
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 14/08026-1 - Artificial vision and pattern recognition applied to vegetal plasticity
Grantee:Odemir Martinez Bruno
Support Opportunities: Regular Research Grants