• The Pure and Applied Mathematics
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• v.20 no.3
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• pp.149-158
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• 2013

In this article, we study the Gauss map of generalized slant cylindrical surfaces (GSCS's) in the 3-dimensional Euclidean space $\mathbb{E}^3$. Surfaces of revolution, cylindrical surfaces and tubes along a plane curve are special cases of GSCS's. Our main results state that the only GSCS's with Gauss map G satisfying ${\Delta}G=AG$ for some $3{\times}3$ matrix A are the planes, the spheres and the circular cylinders.

• Journal of Fashion Business
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• v.9 no.4
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• pp.170-177
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• 2005

Velvet fabric has soft touch, subtle luster, and good draping property. Threedimensional simulated models of cylindrical monofilaments constituting the velvet fabric were prepared. Image analysis techniques were used to measure the reflected light from the surface of velvet fabrics and the simulated images of the pile fibers. As the angle of incidence increased, the reflectance from the velvet surface became lower. Most of the reflection came from the tips of the cut piles. Crushed velvet type also was modeled using slant cylinder models on top of a base plate.