Cusps of Bishop Spherical Indicatrixes and Their Visualizations

Haiming Liu and Donghe Pei

Mathematical Problems in Engineering, 2013, vol. 2013, 1-11

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:215614

DOI: 10.1155/2013/215614

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