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Surface Harmonics for Shape Modeling
Heng Huang   Li Shen  
Univ. of Texas at Arlington, Arlington;

This paper appears in: Image Processing, 2007. ICIP 2007. IEEE International Conference on
Publication Date: Sept. 16 2007-Oct. 19 2007
Volume: 2,  On page(s): II - 553-II - 556
Location: San Antonio, TX,
ISSN: 1522-4880
ISBN: 978-1-4244-1437-6
INSPEC Accession Number: 9806904
Digital Object Identifier: 10.1109/ICIP.2007.4379215
Current Version Published: 2007-11-12

Abstract
We present an approach for three dimensional (3D) shape modeling using Jacobi polynomials based surface harmonics. Because we construct a set of complete hemispherical harmonic basis functions on a hemisphere domain from the associated Jacobi polynomials, our shape modeling method work efficiently on the open hemisphere-like objects that often exist in medical anatomical structures (e.g., ventricles, atriums, etc.). We demonstrate the effectiveness of our approach through theoretic and experimental exploration of a set of medical image applications.

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