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Self-intersection avoidance and integral properties of generalized cylinders

✍ Scribed by I. Gansca; W.F. Bronsvoort; G. Coman; L. Tambulea

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
338 KB
Volume
19
Category
Article
ISSN
0167-8396

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✦ Synopsis

A generalized cylinder is an object bounded by a surface generated by moving a 2D contour curve along a 3D spine curve, possibly scaling the contour along the spine, and two end planes. Several important properties of such objects are presented. In particular, conditions to avoid local and global self-intersection of generalized cylinders are given, and some of their integral properties, such as area and volume, are discussed.

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The exponential integral function (EIF) and the generalized exponential integral function (GEIF) are defined as e Γ€xu u Γ€y Γ°lnuÞ z du, respectively. In this paper, uniform convergences of the EIF and the GEIF are investigated. We also study the continuity differentiability and asymptotic behaviour