System and method for fast tensor field segmentation

Image analysis – Applications – Biomedical applications

Reexamination Certificate

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Reexamination Certificate

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07630530

ABSTRACT:
Segmenting a digitized image includes providing a diffusion tensor field image, partitioning the image into 2 regions, each point being assigned to one of the regions, associating a level-set function with each region, the level-set function having a negative value in one region and a positive value in the other region, calculating a mean value of the diffusion tensor field over each of 2 regions, initializing an energy defined as a functional of level-set functions and diffusion tensor field, changing the region membership of each point in the image if the energy functional value decreases as a result of region membership change and updating said mean value of said diffusion tensor field over each of 2 regions, and obtaining a segmentation of the image when the magnitude of the change of the energy function value resulting from changing the region membership of a point is less then a predetermined threshold.

REFERENCES:
Zhizhou Wang, et al., “An Affine Invariant Tensor Dissimilarity Measure And ITS Applications To Tensor-valued Image Segmentation,”Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, (CVPR 2004).
Christophe Lenglet, et al., “Segmentation of 3D Probability Density Fields By Surface Evolution Application To Diffusion MRI,”MICCAI, LNCS 3216, 2004, pp. 18-25.
Bing Song, “Topics In Variational PDE Image Segmentation, Inpainting And Denoising,”A dissertation Submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics, 2003.

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