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International Journal of Biomedical Imaging
Volume 2006 (2006), Article ID 87419, 7 pages

A Multiresolution PDE-Based Deformable Surface for Medical Imaging Applications

Computer Graphics and Image Understanding Lab, Department of Computer Science, College of Engineering, University of Missouri-Columbia, Columbia 65211-2060, MO, USA

Received 31 July 2005; Revised 19 December 2005; Accepted 20 December 2005

Academic Editor: Guowei Wei

Copyright © 2006 Ye Duan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We recently developed a multiresolution PDE-based deformable surface whose deformation behavior is governed by partial differential equations (PDEs) such as the weighted minimal surface flow. Comparing with the level-set approach, our new model has better control of the mesh quality and model resolution, and is much simpler to implement since all the computations are local. The new deformable model is very useful for a variety of medical imaging applications including boundary reconstruction, surface visualization, data segmentation, and topology discovery. In this paper, we demonstrate both the accuracy and robustness of our model on areas such as medical image segmentation through a number of experiments on both real (MRI/CT) and synthetic volumetric datasets.