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Lifting a generic surface in 3-space to an embedded surface in 4-space

✍ Scribed by Shin Satoh

Book ID
104295657
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
429 KB
Volume
106
Category
Article
ISSN
0166-8641

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✦ Synopsis

We define a 'BW orientation' for a double point set of a generic surface in 3-space. Then we show that a given generic surface in 3-space is a projection of some embedded surface in 4-space if and only if its double point set admits a BW orientation. BW here means black/white; the BW orientation is motivated by checkerboard coloring of the complement of the surface.

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✍ Jamshid Samareh-Abolhassani; John E. Stewart πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 462 KB

A robust and efficient technique is discussed for surface-grid generation on a general curvilinear surface. This technique is based on a nonuniform parameter space and allows for the generation of surface grids on highly skewed and nonuniform spaced background surface-grids. This method has been suc