A parallel 3D 12-subiteration thinning algorithm
Graphical Models and Image Processing
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Fast box-counting algorithm on GPU
Computer Methods and Programs in Biomedicine
Box-counting algorithm on GPU and multi-core CPU: an OpenCL cross-platform study
The Journal of Supercomputing
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This work presents a computer program for computing the 3D fractal dimension (3DFD) from magnetic-resonance images of the brain. The program is based on an algorithm that calculates the 3D box counting of the entire volume of the brain, and also of its 3D skeletonization. The validity and accuracy of the software has been confirmed using solids with well-known 3DFD values. The usefulness of the program developed is demonstrated by its successful characterization of several neurodegenerative diseases.