Superquadrics and Free-Form Deformations: A Global Model to Fit and Track 3D Medical Data
Recovery of 3-D data with simple parametric models has been the subject of many studies over the last ten years. Many have used the notion of superquadrics, introduced for graphics in . It appears, however, that although superquadrics can describe a wide variety of forms, they are too simple to recover and describe complex shapes.
This paper describes a method to fit to 3-D points and then track a parametric deformable surface. We suppose that a 3-D image has been segmented to get a set of 3-D points. A first estimate consists of our version of a superquadric fit with global tapering. We then apply the technique of free-form deformations, as introduced by  in computer graphics to refine the estimate. We present experimental results with real 3-D medical images, where the original points are laid on an iso-surface. This is also applied to give efficient tracking of the deformation of the myocardium
KeywordsControl Point Computer Graphic Displacement Field Deformable Model Efficient Tracking
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