A survey of image registration techniques
ACM Computing Surveys (CSUR)
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
Alignment by maximization of mutual information
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Optimal registration of deformed images
Optimal registration of deformed images
3D freehand ultrasound reconstruction based on probe trajectory
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
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In this work we present a new variational approach for image registration where part of the data is only known on a low-dimensional manifold. Our work is motivated by navigated liver surgery. Therefore, we need to register 3D volumetric CT data and tracked 2D ultrasound (US) slices. The particular problem is that the set of all US slices does not assemble a full 3D domain. Other approaches use so-called compounding techniques to interpolate a 3D volume from the scattered slices. Instead of inventing new data by interpolation here we only use the given data. Our variational formulation of the problem is based on a standard approach. We minimize a joint functional made up from a distance term and a regularizer with respect to a 3D spatial deformation field. In contrast to existing methods we evaluate the distance of the images only on the two-dimensional manifold where the data is known. A crucial point here is regularization. To avoid kinks and to achieve a smooth deformation it turns out that at least second order regularization is needed. Our numerical method is based on Newton-type optimization. We present a detailed discretization and give some examples demonstrating the influence of regularization. Finally we show results for clinical data.