Two algorithms for volume-preserving approximations of surfaces of revolution (Q1208634)
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scientific article; zbMATH DE number 166652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two algorithms for volume-preserving approximations of surfaces of revolution |
scientific article; zbMATH DE number 166652 |
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Two algorithms for volume-preserving approximations of surfaces of revolution (English)
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16 May 1993
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Given a surface of revolution whose axis is the \(z\)-axis, the author describes the construction of new surfaces of revolution around the same axis such that the solid cut off by two horizontal planes encloses the same volume as that cut off from the original surface and such that the new surfaces are composed a) of cylindrical patches or b) of conical frustra. The construction and mathematics involved are straightforward.
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computer-aided geometric design
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surfaces of revolution
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volume- preserving approximation
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developable surfaces
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0.8719814
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0.86745596
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0.86628056
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0.86122876
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