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Published in: International Journal of Computer Assisted Radiology and Surgery 9/2019

12-07-2019 | Original Article

Symmetry prior for epipolar consistency

Authors: Alexander Preuhs, Andreas Maier, Michael Manhart, Markus Kowarschik, Elisabeth Hoppe, Javad Fotouhi, Nassir Navab, Mathias Unberath

Published in: International Journal of Computer Assisted Radiology and Surgery | Issue 9/2019

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Abstract

Purpose

For a perfectly plane symmetric object, we can find two views—mirrored at the plane of symmetry—that will yield the exact same image of that object. In consequence, having one image of a plane symmetric object and a calibrated camera, we automatically have a second, virtual image of that object if the 3-D location of the symmetry plane is known.

Methods

We propose a method for estimating the symmetry plane from a set of projection images as the solution of a consistency maximization based on epipolar consistency. With the known symmetry plane, we can exploit symmetry to estimate in-plane motion by introducing the X-trajectory that can be acquired with a conventional short-scan trajectory by simply tilting the acquisition plane relative to the plane of symmetry.

Results

We inspect the symmetry plane estimation on a real scan of an anthropomorphic human head phantom and show the robustness using a synthetic dataset. Further, we demonstrate the advantage of the proposed method for estimating in-plane motion using the acquired projection data.

Conclusion

Symmetry breakers in the human body are widely used for the detection of tumors or strokes. We provide a fast estimation of the symmetry plane, robust to outliers, by computing it directly from a set of projections. Further, by coupling the symmetry prior with epipolar consistency, we overcome inherent limitations in the estimation of in-plane motion.

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Metadata
Title
Symmetry prior for epipolar consistency
Authors
Alexander Preuhs
Andreas Maier
Michael Manhart
Markus Kowarschik
Elisabeth Hoppe
Javad Fotouhi
Nassir Navab
Mathias Unberath
Publication date
12-07-2019
Publisher
Springer International Publishing
Published in
International Journal of Computer Assisted Radiology and Surgery / Issue 9/2019
Print ISSN: 1861-6410
Electronic ISSN: 1861-6429
DOI
https://doi.org/10.1007/s11548-019-02027-8

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