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Efficient and Robust Segmentations Based on Eikonal and Diffusion PDEs

Peny, B., Unal, G. B., Slabaugh, G. G. , Fang, T. & Alvino, C. V. (2006). Efficient and Robust Segmentations Based on Eikonal and Diffusion PDEs. In: Zheng, N, Jiang, X & Lan, X (Eds.), Advances in Machine Vision, Image Processing, and Pattern Analysis. Lecture Notes in Computer Science, 4153. (pp. 339-348). Springer. doi: 10.1007/11821045_36


In this paper, we present efficient and simple image segmentations based on the solution of two separate Eikonal equations, each originating from a different region. Distance functions from the interior and exterior regions are computed, and final segmentation labels are determined by a competition criterion between the distance functions. We also consider applying a diffusion partial differential equation (PDE) based method to propagate information in a manner inspired by the information propagation feature of the Eikonal equation. Experimental results are presented in a particular medical image segmentation application, and demonstrate the proposed methods.

Publication Type: Book Section
Additional Information: The final publication is available at Springer via
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Departments: School of Science & Technology > Computer Science
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