Measurement of fractal dimension using 3-D technique

Keh-Shih Chuang; Daniel J. Valentino; H. K. Huang

doi:10.1117/12.45231

1 June 1991 Measurement of fractal dimension using 3-D technique

Keh-Shih Chuang, Daniel J. Valentino, H. K. Huang

Proceedings Volume 1445, Medical Imaging V: Image Processing; (1991) https://doi.org/10.1117/12.45231
Event: Medical Imaging '91, 1991, San Jose, CA, United States

Abstract

Fractal dimension is a measure of complexity of a fractal object. Its application in medical image analysis is widely accepted. In this paper we use 3-D surface tracking technique to calculate the fractal dimension of the brain. The fractal dimension in this case is a measure of the convolution of the cerebral surface. Series of MR images of the brain are read and interpolated into a 3-D volume such that each voxel is a cube. Each cube is equivalent to a box in the box-counting method. A surface tracking routine is applied to this 3-D volume. The number of faces (surface area) on the surface as well as volume inside the object can be obtained. Then we can change the voxel size and do the interpolation and surface tracking again. Based on these measurements for various voxel sizes we can calculate the fractal dimension. The fractal dimension measured for a brain specimen using the 3-D box counting technique is equal to 2.207.

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Keh-Shih Chuang, Daniel J. Valentino, and H. K. Huang "Measurement of fractal dimension using 3-D technique", Proc. SPIE 1445, Medical Imaging V: Image Processing, (1 June 1991); https://doi.org/10.1117/12.45231

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