Self-intersection avoidance and integral properties of generalized cylinders. (Q1852881)
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scientific article; zbMATH DE number 1856179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-intersection avoidance and integral properties of generalized cylinders. |
scientific article; zbMATH DE number 1856179 |
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Self-intersection avoidance and integral properties of generalized cylinders. (English)
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21 January 2003
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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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Generalized cylinders
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Generalized cylinder surfaces
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Local and global self-intersections
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Integral properties
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