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This paper proposes L 2-and information-theory-based (IT) non-rigid registration algorithms that are exactly symmetric. Such algorithms pair the same points of two images after the images are swapped. Many commonly-used L 2 and IT non-rigid registration algorithms are only approximately symmetric. The asymmetry is due to the objective function as well as… (More)

This paper presents a method for biventricular myocardial deformation recovery from cine MRI. The method is based on a deformable model that is nearly incompressible, a desirable property since the myocardium has been shown to be nearly incompressible. The model uses a matrix-valued radial basis function to represent divergence-free displacement fields,… (More)

This paper presents a method for 3-D deformation recovery of the left ventricular (LV) wall from anatomical cine magnetic resonance imaging (MRI). The method is based on a deformable model that is incompressible, a desired property since the myocardium has been shown to be nearly incompressible. The LV wall needs to be segmented in an initial frame after… (More)

Non-rigid registration of medical images is often posed as an algorithmic problem. While algorithms are important, it is equally critical to investigate non-rigid registration ax-iomatically: what properties should a registration algorithm posses and how do these properties influence the objective functions of the registration algorithms? In this paper, we… (More)

Surgical navigation systems provide the surgeon with a display of preoperative and intraoperative data in the same coordinate system. However, the systems currently in use in neurosurgery are subject to inaccuracy caused by intraoperative brain deformation (brain shift), since they typically assume that the intracranial structures are rigid. Experiments… (More)