2005
DOI: 10.1109/vg.2005.194110
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Simplification of unstructured tetrahedral meshes by point sampling

Abstract: Tetrahedral meshes are widely used in scientific computing for representing three-dimensional scalar, vector, and tensor

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Cited by 14 publications
(8 citation statements)
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“…Since it is difficult to remesh volumetric facial tissue according to the intersection with muscle surfaces, we calculated equivalent material property by considering volumetric portion of muscle in each tetrahedron. We adopted the approach proposed by Uesu et al (2005), which employs point sampling in tetrahedron. Then, geometrical test, based on directional comparison of surface normal and closest distance vector as shown in Figure 3, was performed to calculate equivalent material properties.…”
Section: Materials Property Assignmentmentioning
confidence: 99%
“…Since it is difficult to remesh volumetric facial tissue according to the intersection with muscle surfaces, we calculated equivalent material property by considering volumetric portion of muscle in each tetrahedron. We adopted the approach proposed by Uesu et al (2005), which employs point sampling in tetrahedron. Then, geometrical test, based on directional comparison of surface normal and closest distance vector as shown in Figure 3, was performed to calculate equivalent material properties.…”
Section: Materials Property Assignmentmentioning
confidence: 99%
“…In order to assign appropriate material properties, the intersecting portion of muscle in each tetrahedron needs to be determined. We adopted a random point sampling method inside of each tetrahedron [17], and simple geometrical tests on directional vectors to muscle surface.…”
Section: Materials Property Assignmentmentioning
confidence: 99%
“…Van Gelder et al [5] remove vertices based on mass and data error metrics. Uesu et al [6] provide a fast point-based method which works directly on the underlying scalar field. These techniques are more memory efficient than edge collapse methods, but require the addition of Steiner points to handle nonconvex meshes.…”
Section: Related Workmentioning
confidence: 99%