Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Deformations incorporating rigid structures
Computer Vision and Image Understanding
Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise
Point-Based Elastic Registration of Medical Image Data Using Approximating Thin-Plate Splines
VBC '96 Proceedings of the 4th International Conference on Visualization in Biomedical Computing
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Validation of Non-rigid Registration Using Finite Element Methods
IPMI '01 Proceedings of the 17th International Conference on Information Processing in Medical Imaging
Landmark and Intensity-Based, Consistent Thin-Plate Spline Image Registration
IPMI '01 Proceedings of the 17th International Conference on Information Processing in Medical Imaging
The thin plate spline robust point matching (TPS-RPM) algorithm: A revisit
Pattern Recognition Letters
Fake finger detection based on thin-plate spline distortion model
ICB'07 Proceedings of the 2007 international conference on Advances in Biometrics
Feature based image registration using non-degenerate pixels
Signal Processing
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We introduce an approach to elastic registration of tomographic images based on thin-plate splines. Central to this scheme is a well-defined minimizing functional for which the solution can be stated analytically. In this work, we consider the integration of anisotropic landmark errors as well as additional attributes at landmarks. As attributes we use orientations at landmarks and we incorporate the corresponding constraints through scalar products. With our approximation scheme it is thus possible to integrate statistical as well as geometric information as additional knowledge in elastic image registration. On the basis of synthetic as well as real tomographic images we show that this additional knowledge can significantly improve the registration result. In particular, we demonstrate that our scheme incorporating orientation attributes can preserve the shape of rigid structures (such as bone) embedded in an otherwise elastic material. This is achieved without selecting further landmarks and without a full segmentation of the rigid structures.