Physics-Based elastic image registration using splines and including landmark localization uncertainties

Authors:
Stefan Wörz;Karl Rohr
Affiliations:
Dept. Bioinformatics and Functional Genomics, Biomedical Computer Vision Group, University of Heidelberg, IPMB, and DKFZ Heidelberg, Heidelberg, Germany;Dept. Bioinformatics and Functional Genomics, Biomedical Computer Vision Group, University of Heidelberg, IPMB, and DKFZ Heidelberg, Heidelberg, Germany
Venue:
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Year:
2006

Citing 2
Cited 2

A New Class of Elastic Body Splines for Nonrigid Registration of Medical Images

Journal of Mathematical Imaging and Vision
Landmark matching via large deformation diffeomorphisms

IEEE Transactions on Image Processing

Physics-based elastic registration using non-radial basis functions and including landmark localization uncertainties

Computer Vision and Image Understanding
Spline-based elastic image registration with matrix-valued basis functions using landmark and intensity information

Proceedings of the 29th DAGM conference on Pattern recognition

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Abstract

We introduce an elastic registration approach which is based on a physical deformation model and uses Gaussian elastic body splines (GEBS). We formulate an extended energy functional related to the Navier equation under Gaussian forces which also includes landmark localization uncertainties. These uncertainties are characterized by weight matrices representing anisotropic errors. Since the approach is based on a physical deformation model, cross-effects in elastic deformations can be taken into account. Moreover, we have a free parameter to control the locality of the transformation for improved registration of local geometric image differences. We demonstrate the applicability of our scheme based on 3D CT images from the Truth Cube experiment, 2D MR images of the brain, as well as 2D gel electrophoresis images. It turns out that the new scheme achieves more accurate results compared to previous approaches.