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Hybrid Formulation of the Model-Based Non-Rigid Registration Problem to Improve

Summary: Hybrid Formulation of the Model-Based
Non-Rigid Registration Problem to Improve
Accuracy and Robustness
Abstract. We present a new algorithm to register 3D pre-operative
Magnetic Resonance (MR) images with intra-operative MR images of
the brain. This algorithm relies on a robust estimation of the defor-
mation from a sparse set of measured displacements. We propose a new
framework to compute iteratively the displacement field starting from an
approximation formulation (minimizing the sum of a regularization term
and a data error term) and converging toward an interpolation formula-
tion (least square minimization of the data error term). The robustness
of the algorithm is achieved through the introduction of an outliers rejec-
tion step in this gradual registration process. We ensure the validity of
the deformation by the use of a biomechanical model of the brain specific
to the patient, discretized with the finite element method. The algorithm
has been tested on six cases of brain tumor resection, presenting a brain
shift up to 13 mm.
1 Introduction
1.1 Image-Guided Neurosurgery
The development of intra-operative imaging systems has contributed to improv-


Source: Ayache, Nicholas - INRIA


Collections: Computer Technologies and Information Sciences; Engineering