Volumetric harmonic map. (English) Zbl 1112.68488

Wang, Yalin; Gu, Xianfeng; Yau, Shingtung

Commun. Inf. Syst. 3, No. 3, 191-202 (2003).

Summary: 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.

MSC:

68U10	Computing methodologies for image processing
68U05	Computer graphics; computational geometry (digital and algorithmic aspects)
92C55	Biomedical imaging and signal processing

Keywords:

textrehedral mesh; volume data