Cusps of Bishop Spherical Indicatrixes and Their Visualizations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Haiming& Pei, Donghe. 2013. Cusps of Bishop Spherical Indicatrixes and Their Visualizations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008728
Modern Language Association (MLA)
Liu, Haiming& Pei, Donghe. Cusps of Bishop Spherical Indicatrixes and Their Visualizations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1008728
American Medical Association (AMA)
Liu, Haiming& Pei, Donghe. Cusps of Bishop Spherical Indicatrixes and Their Visualizations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1008728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008728
