Affine invariant parameterization to assess local shape in abdominal organs

Jeremy M. Watt; Marius George Linguraru; Ronald M. Summers M.D.

doi:10.1117/12.877589

9 March 2011 Affine invariant parameterization to assess local shape in abdominal organs

Jeremy M. Watt, Marius George Linguraru, Ronald M. Summers M.D.

Proceedings Volume 7965, Medical Imaging 2011: Biomedical Applications in Molecular, Structural, and Functional Imaging; 79650F (2011) https://doi.org/10.1117/12.877589
Event: SPIE Medical Imaging, 2011, Lake Buena Vista (Orlando), Florida, United States

Abstract

We present a novel method for three-dimensional (3D) shape parameterization. The approach is affine invariant and is applied to comparing local shape across abdominal organs. The inherent structure of the abdominal organs is used to generate a regular sampling of the organ's surface. 'Planar-convexity' is defined for a general 3D closed object as the property that there exists a set of parallel planes which cover the 3D space such that every intersection of a plane with the object is a singular closed planar curve. We show that this parameterization, combined with the 3D analogue of a 2D shape descriptor, successfully shown to be invariant under affine transformations and noise, can be effectively used to compare features of two closed 3D surfaces point-to-point. The technique avoids common problems with the parameterization of concave surfaces and shows great potential for analyzing and improving the automatic modeling and segmentation of abdominal organs.

Citation Download Citation

Jeremy M. Watt, Marius George Linguraru, and Ronald M. Summers M.D. "Affine invariant parameterization to assess local shape in abdominal organs", Proc. SPIE 7965, Medical Imaging 2011: Biomedical Applications in Molecular, Structural, and Functional Imaging, 79650F (9 March 2011); https://doi.org/10.1117/12.877589

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