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8 April 1996 Estimation of the left ventricular shape and motion with a limited number of slices
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In this paper, we describe a method for the reconstruction of the surface of the left ventricle from a set of lacunary data (that is an incomplete, unevenly sampled and unstructured data set). Global models, because they compress the properties of a surface into a small set of parameters, have a strong regularizing power and are therefore very well suited to lacunary data. Globally deformable superquadrics are particularly attractive, because of their simplicity. This model can be fitted to the data using the Levenberg-Marquardt algorithm for non-linear optimization. However, the difficulties we experienced to get temporally consistent solutions as well as the intrinsic 4D character of the data led us to generalize the classical 3D superquadric model to 4D. We present results on a 4D sequence from the Dynamic Spatial Reconstructor of the Mayo Clinic, and on a 4D IRM sequence.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Anne Robert, Francis J. M. Schmitt, and Elie Mousseaux "Estimation of the left ventricular shape and motion with a limited number of slices", Proc. SPIE 2709, Medical Imaging 1996: Physiology and Function from Multidimensional Images, (8 April 1996);

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