Cusps of Bishop spherical indicatrixes and their visualizations (Q459650)
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scientific article; zbMATH DE number 6354181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cusps of Bishop spherical indicatrixes and their visualizations |
scientific article; zbMATH DE number 6354181 |
Statements
Cusps of Bishop spherical indicatrixes and their visualizations (English)
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13 October 2014
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Summary: The main result of this paper is using Bishop Frame and ``Type-2 Bishop Frame'' to study the cusps of Bishop spherical images and type-2 Bishop spherical images which are deeply related to a space curve and to make them visualized by computer. We find that the singular points of the Bishop spherical images and type-2 Bishop spherical images correspond to the point where Bishop curvatures and type-2 Bishop curvatures vanished and their derivatives are not equal to zero. As applications and illustration of the main results, two examples are given.
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