Hierarchical Hybrid Shape Representation for Medical Shapes

Abhishek Kolagunda, Guoyu Lu, Chandra Kambhamettu · 2015

Recently, shape analysis has become of increasing interest in the medical community due to its potential in capturing the morphological variations across a population. The high quality 3D images captured can be used to extract 3D shape of the organs. 3D models of organs can also be used for training personnel, for visualization during image guided interventions and in simulations. A compact shape model that has implicit and explicit forms will aid in some of these medical use-cases. We propose a compact hybrid shape model as a combination of Extended Superquadrics (ESQ) [1] and Radial basis interpolation function (RBF). The hybrid shape model in its parametric form is given as ( f (θ ,φ)= h(θ ,φ)+g(θ ,φ)). h is the extended superquadric function and g is radial basis interpolation function. The points on the surface of the shape are given by

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