21 May 1999 Development of a point-based shape representation of arbitrary three-dimensional medical objects suitable for statistical shape modeling
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Abstract
A novel method that allows the development of surface point based 3D statistical shape models is presented. Fourier decomposition and multiple 2D contours have previously been proposed for the development of statistical shape models of 3D medical objects. Unlike Fourier decomposition the presented method can be applied to shapes of arbitrary topology. Furthermore, the method described here results in a true 3D shape model, independent, for example, from slice orientations of contour images. Given a set of medical objects, a statistical shape model can be obtained by Principal Component Analysis. This technique requires that a set of complex shaped objects is represented as a set of vectors that on the one hand uniquely determine the shapes of the objects and on the other hand are suited for a statistical analysis. The correspondence between the vector components and the respective shape features has to be the same for all shape parameter vectors to be considered. We present a novel approach to the correspondence problem for complex 3D objects. The underlying idea is to develop a template shape and to fit this template to all objects to be analyzed. Although we used surface triangulation to represent the shape the method can easily be adapted to work with other representations. The method is successfully applied to obtain a statistical shape model for the lumbar vertebrae.
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Nils Krahnstoever, Cristian Lorenz, "Development of a point-based shape representation of arbitrary three-dimensional medical objects suitable for statistical shape modeling", Proc. SPIE 3661, Medical Imaging 1999: Image Processing, (21 May 1999); doi: 10.1117/12.348618; https://doi.org/10.1117/12.348618
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