Improved Susceptibility Artifact Correction of Echo-Planar MRI using the Alternating Direction Method of Multipliers
Autor: | Lars Ruthotto, Jan Macdonald |
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Rok vydání: | 2017 |
Předmět: |
Statistics and Probability
Coupling Artifact (error) Optimization problem Smoothness (probability theory) Discretization business.industry Applied Mathematics ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Image registration Condensed Matter Physics 030218 nuclear medicine & medical imaging 03 medical and health sciences 0302 clinical medicine Modeling and Simulation Distortion Convergence (routing) Computer vision Geometry and Topology Computer Vision and Pattern Recognition Artificial intelligence business Algorithm 030217 neurology & neurosurgery Mathematics |
Zdroj: | Journal of Mathematical Imaging and Vision. 60:268-282 |
ISSN: | 1573-7683 0924-9907 |
Popis: | We present an improved technique for susceptibility artifact correction in echo-planar imaging (EPI), a widely used ultra-fast magnetic resonance imaging (MRI) technique. Our method corrects geometric deformations and intensity modulations present in EPI images. We consider a tailored variational image registration problem incorporating a physical distortion model and aiming at minimizing the distance of two oppositely distorted images subject to invertibility constraints. We derive a novel face-staggered discretization of the variational problem that renders the discretized distance function and constraints separable. Motivated by the presence of a smoothness regularizer, which leads to global coupling, we apply the alternating direction method of multipliers (ADMM) to split the problem into simpler subproblems. We prove the convergence of ADMM for this non-convex optimization problem. We show the superiority of our scheme compared to two state-of-the-art methods both in terms of correction quality and time-to-solution for 13 high-resolution 3D imaging datasets. |
Databáze: | OpenAIRE |
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