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Linear and incremental estimation of elastic deformations in medical registration using prescribed displacements

Peckar W., Schnorr C., Rohr K., Stiehl H. S., Spetzger U.

Machine Graphics and Vision

1998

Vol. 7, No. 4

807-829

We propose an approach for estimation of elastic deformations in medical registration. Compared to standard registration methods based on elasticity theory, our estimation scheme does not contain parameters of the deformation model (elastic constants). Rather, the computed elastic deformation is uniquely defined through incorporation of prescribed displacements on boundary structures in the source and target image. Under the assumption of correctness of input data, our estimation scheme provides the exact correspondence of sructures to be registered due to the constrains. Furthermore, to cope with large-magnitude deformation, we propose an incemental model based on successive linearizations of the non-linear elastic equilibrium equation. To illustrate the performance of our approach, we show experimental results for 2-D and 3-D synthetic as well as real medical images and provide timing information for sequential and parallel realizations.