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Joint Segmentation of 3D Femoral Lumen and Outer Wall Surfaces from MR Images
Eranga Ukwatta1, Jing Yuan1, Wu Qiu1, Martin Rajchl1, Bernard Chiu2, Shadi Shavakh1, Jianrong Xu3, and Aaron Fenster1
1Robarts Research Institute, Western University, London, ON, Canada
eukwatta@robarts.ca
jyuan@robarts.ca
wqiu@robarts.ca
mrajchl@robarts.ca
afenster@robarts.ca
2Department of Electronic Engineering, City University of Hong Kong, Hong Kong
bcychiu@cityu.edu.hk
3Renji Hospital, Shanghai Jiao Tong University, Shanghai 200127, China
Abstract. We propose a novel algorithm to jointly delineate the femoral artery lumen and outer wall surfaces from 3D black-blood MR images, while enforcing the spatial consistency of the reoriented MR slices along the medial axis of the femoral artery. We demonstrate that the resulting optimization problem of the proposed segmentation can be solved globally and exactly by means of convex relaxation, for which we introduce a novel coupled continuous max-flow (CCMF) model based on an Ishikawa-type flow configuration and show its duality to the studied convex relaxed optimization problem. Using the proposed CCMF model, the exactness and globalness of its dual convex relaxation problem is proven. Experiment results demonstrate that the proposed method yielded high accuracy (i.e. Dice similarity coefficient > 85%) for both the lumen and outer wall and high reproducibility (intra-class correlation coefficient of 0.95) for generating vessel wall area. The proposed method outperformed the previous method, in terms of computation time, by a factor of ~20.
Keywords: Femoral artery segmentation, convex optimization
LNCS 8149, p. 534 ff.
lncs@springer.com
© Springer-Verlag Berlin Heidelberg 2013