Texture analysis using volume-radius fractal dimension

TL;DR

This paper introduces a new texture analysis method based on volume-radius fractal dimension, extending shape analysis techniques to characterize image textures by their complexity, demonstrated on Brodatz album images.

Contribution

It presents a novel application of fractal dimension analysis for texture characterization, expanding existing shape analysis methods to 3D texture data.

Findings

Effective differentiation of texture classes

High accuracy in texture classification

Robustness across different texture types

Abstract

Texture plays an important role in computer vision. It is one of the most important visual attributes used in image analysis, once it provides information about pixel organization at different regions of the image. This paper presents a novel approach for texture characterization, based on complexity analysis. The proposed approach expands the idea of the Mass-radius fractal dimension, a method originally developed for shape analysis, to a set of coordinates in 3D-space that represents the texture under analysis in a signature able to characterize efficiently different texture classes in terms of complexity. An experiment using images from the Brodatz album illustrates the method performance.