Quasi-Bézier Curves with Shape Parameters
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The universal form of univariate Quasi-Bézier basis functions with multiple shape parameters and a series of corresponding Quasi-Bézier curves were constructed step-by-step in this paper, using the method of undetermined coefficients.
The series of Quasi-Bézier curves had geometric and affine invariability, convex hull property, symmetry, interpolation at the endpoints and tangent edges at the endpoints, and shape adjustability while maintaining the control points.
Various existing Quasi-Bézier curves became special cases in the series.
The obvious geometric significance of shape parameters made the adjustment of the geometrical shape easier for the designer.
The numerical examples indicated that the algorithm was valid and can easily be applied.
American Psychological Association (APA)
Chen, Jun. 2013. Quasi-Bézier Curves with Shape Parameters. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-451567
Modern Language Association (MLA)
Chen, Jun. Quasi-Bézier Curves with Shape Parameters. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-451567
American Medical Association (AMA)
Chen, Jun. Quasi-Bézier Curves with Shape Parameters. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-451567
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451567