Fitting the Discrete Swept Skeletal Representation to Slabular Objects

Abstract Statistical analysis of the skeletal structure of slabular objects like groups of hippocampi is valuable for medical researchers as it can be useful for diagnoses and understanding diseases. This work proposes a novel object representation based on model fitting and analysis of the locally parameterized discrete swept skeletal representation of such entities where the model fitting procedure is based on boundary division and surface flattening. The goodness of the model fitting is demonstrated according to the skeletal symmetry, the volume of the implied boundary, and skeletal perturbation. The power of the method is demonstrated by visual inspection and statistical analysis of a synthetic and an actual data set in comparison with an available skeletal representation.