A discrete curvature-based deformable surface model with application to segmentation of volumetric images

IEEE Transactions on Information Technology in Biomedicine : a Publication of the IEEE Engineering in Medicine and Biology Society
A Ghanei, Hamid Soltanian-Zadeh

Abstract

In this paper, we present a new curvature-based three-dimensional (3-D) deformable surface model. The model deforms under defined force terms. Internal forces are calculated from local model curvature, using a robust method by a least-squares error (LSE) approximation to the Dupin indicatrix. External forces are calculated by applying a step expansion and restoration filter (SEF) to the image data. A solution for one of the most common problems associated with deformable models, self-cutting, has been proposed in this work. We use a principal axis analysis and reslicing of the deformable model, followed by triangulation of the slices, to remedy self-cutting. We use vertex resampling, multiresolution deformation, and refinement of the mesh grid to improve the quality of the model deformation, which leads to better results. Examples of the model application to different cases (simulation, magnetic resonance imaging (MRI), computerized tomography (CT), and ultrasound images) are presented, showing diversity and flexibility of the model.

References

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Citations

Jun 16, 2005·Computer Methods and Programs in Biomedicine·Mohammad-Reza SiadatKost Elisevich
Mar 7, 2007·Computers in Biology and Medicine·Mohammad-Reza SiadatKost V Elisevich
Jul 27, 2007·Cytometry. Part a : the Journal of the International Society for Analytical Cytology·Gang LinBadrinath Roysam
Jun 12, 2004·IEEE Transactions on Medical Imaging·P Abolmaesumi, M R Sirouspour
Aug 26, 2006·Computer Methods and Programs in Biomedicine·Adam C HodgeHanif M Ladak
Nov 16, 2005·Ultrasound in Medicine & Biology·Neculai ArchipHamid Tahmasebpour
Mar 23, 2010·Medical Image Analysis·Benjamin Gilles, Nadia Magnenat-Thalmann

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