Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes
Joint Authors
Younes, Laurent
Miller, Michael I.
Tward, Daniel J.
Ma, Jun
Source
International Journal of Biomedical Imaging
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper presents recent advances in the use of diffeomorphic active shapes which incorporate the conservation laws of large deformation diffeomorphic metric mapping.
The equations of evolution satisfying the conservation law are geodesics under the diffeomorphism metric and therefore termed geodesically controlled diffeomorphic active shapes (GDAS).
Our principal application in this paper is on robust diffeomorphic mapping methods based on parameterized surface representations of subcortical template structures.
Our parametrization of the GDAS evolution is via the initial momentum representation in the tangent space of the template surface.
The dimension of this representation is constrained using principal component analysis generated from training samples.
In this work, we seek to use template surfaces to generate segmentations of the hippocampus with three data attachment terms: surface matching, landmark matching, and inside-outside modeling from grayscale T1 MR imaging data.
This is formulated as an energy minimization problem, where energy describes shape variability and data attachment accuracy, and we derive a variational solution.
A gradient descent strategy is employed in the numerical optimization.
For the landmark matching case, we demonstrate the robustness of this algorithm as applied to the workflow of a large neuroanatomical study by comparing to an existing diffeomorphic landmark matching algorithm.
American Psychological Association (APA)
Tward, Daniel J.& Ma, Jun& Miller, Michael I.& Younes, Laurent. 2013. Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes. International Journal of Biomedical Imaging،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-454355
Modern Language Association (MLA)
Tward, Daniel J.…[et al.]. Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes. International Journal of Biomedical Imaging No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-454355
American Medical Association (AMA)
Tward, Daniel J.& Ma, Jun& Miller, Michael I.& Younes, Laurent. Robust Diffeomorphic Mapping via Geodesically Controlled Active Shapes. International Journal of Biomedical Imaging. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-454355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454355