Brownian Warps: A Least Committed Prior for Non-rigid Registration
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
Visualization in Medicine: Theory, Algorithms, and Applications
Visualization in Medicine: Theory, Algorithms, and Applications
Brownian Warps for Non-Rigid Registration
Journal of Mathematical Imaging and Vision
Maximizing the Predictivity of Smooth Deformable Image Warps through Cross-Validation
Journal of Mathematical Imaging and Vision
Analyzing anatomical structures: leveraging multiple sources of knowledge
CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications
Consistent and elastic registration of histological sections using vector-spline regularization
CVAMIA'06 Proceedings of the Second ECCV international conference on Computer Vision Approaches to Medical Image Analysis
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This paper describes a new bidirectional image registration algorithm that estimates a consistent set of nonlinear forward and reverse transformations between two N-dimensional images. The registration problem is formulated in a N+1-dimensional space where the additional dimension is referred to as the temporal or time dimension. Aperiodic-in-time, nonlinear, N+1-dimensional transformation is estimated that deforms one image into the shape of the other and back again. The registration problem is solved numerically by discretizing the temporal dimension such that there is an incremental image and transformation at each time point. Nonlinear deformations from one image to the other are accommodated by concatenating the linear, small-deformation incremental transformations. An inverseconsistency constraint is placed on the incremental trans-formationsto enforce within a specified tolerance that the forward and reverse transformations between the two images are inverses of each other. Results are presented for 2D image registration problems. These results demonstrate the feasibility of accommodating both linear and nonlinear deformations.