Title
Fast globally optimal segmentation of 3D prostate MRI with axial symmetry prior.
Abstract
We propose a novel global optimization approach to segmenting a given 3D prostate T2w magnetic resonance (MR) image, which enforces the inherent axial symmetry of the prostate shape and simultaneously performs a sequence of 2D axial slice-wise segmentations with a global 3D coherence prior. We show that the proposed challenging combinatorial optimization problem can be solved globally and exactly by means of convex relaxation. With this regard, we introduce a novel coupled continuous max-flow model, which is dual to the studied convex relaxed optimization formulation and leads to an efficient multiplier augmented algorithm based on the modern convex optimization theory. Moreover, the new continuous max-flow based algorithm was implemented on GPUs to achieve a substantial improvement in computation. Experimental results using public and in-house datasets demonstrate great advantages of the proposed method in terms of both accuracy and efficiency.
Year
DOI
Venue
2013
10.1007/978-3-642-40763-5_25
Lecture Notes in Computer Science
Keywords
Field
DocType
Prostate MRI segmentation,axial symmetry,convex optimization
Mathematical optimization,Global optimization,Segmentation,Computer science,Coherence (physics),Regular polygon,Axial symmetry,Multiplier (economics),Convex optimization,Computation
Conference
Volume
Issue
ISSN
8150
Pt 2
0302-9743
Citations 
PageRank 
References 
7
0.49
6
Authors
6
Name
Order
Citations
PageRank
Wu Qiu120318.54
Jing Yuan237223.02
Eranga Ukwatta315418.10
Yue Sun470.49
Martin Rajchl542134.67
Aaron Fenster627067.27