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2003 Volumetric Harmonic Map
Xianfeng Gu , Yalin Wang , Shing-Tung Yau
Commun. Inf. Syst. 3(3): 191-202 (2003).

Abstract

We develop two different techniques to study volume mapping problem in Computer Graphics and Medical Imaging fields. The first one is to find a harmonic map from a 3 manifold to a 3D solid sphere and the second is a sphere carving algorithm which calculates the simplicial decomposition of volume adapted to surfaces. We derive the 3D harmonic energy equation and it can be easily extended to higher dimensions. We use a textrehedral mesh to represent the volume data. We demonstrate our method on various solid 3D models. We suggest that 3D harmonic mapping of volume can provide a canonical coordinate system for feature identification and registration for computer animation and medical imaging.

Citation

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Xianfeng Gu . Yalin Wang . Shing-Tung Yau . "Volumetric Harmonic Map." Commun. Inf. Syst. 3 (3) 191 - 202, 2003.

Information

Published: 2003
First available in Project Euclid: 1 July 2004

zbMATH: 1112.68488
MathSciNet: MR2131881

Rights: Copyright © 2003 International Press of Boston

Vol.3 • No. 3 • 2003
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