Visual tool for estimating the fractal dimension of images

TL;DR

This paper introduces a Visual Basic 6.0 tool that estimates the fractal dimension of images using an optimized box-counting algorithm, aiding in art analysis and capable of processing 3D images and CSV data.

Contribution

It presents a novel visual tool for fractal dimension estimation that incorporates noise filtering and extends functionality to 3D images and CSV data processing.

Findings

Effective in analyzing paintings cracks for art authentication

Supports band-pass filtering to separate real information from noise

Extended to handle 3D images and CSV files

Abstract

This work presents a new Visual Basic 6.0 application for estimating the fractal dimension of images, based on an optimized version of the box-counting algorithm. Following the attempt to separate the real information from noise, we considered also the family of all band-pass filters with the same band-width (specified as parameter). The fractal dimension can be thus represented as a function of the pixel color code. The program was used for the study of paintings cracks, as an additional tool which can help the critic to decide if an artistic work is original or not. In its second version, the application was extended for working also with csv files and three-dimensional images.