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Multiscale 3D image enhancement method based on a diffusion equation

Diffusion process is an important tool for multiscale representation of images, image smoothing, enhancement and edge detection. In this paper, we propose a diffusion equation based method to enhance 3D CT images. The diffusion equation is applied in two ways. The first manner is to run the equation forward (diffusion) in the interior of regions, in hope that severe noise in these regions would be filtered out. The second way is to run the equation backward (antidiffusion) around edges to enhance contrast. The proposed algorithms are simple, and can be easily used in the practical applications. Finally, the algorithms were applied to real 3D CT images to demonstrate its effectiveness.