Paper Info
Title
Normalized B-basis of the space of trigonometric polynomials and curve design.
Abstract
A normalized B-basis of the space of trigonometric polynomials of degree n is presented. Some interesting properties of the basis functions are given. Based on the basis, symmetric trigonometric polynomial curves like Bézier curves are constructed. The trigonometric polynomial curves present the shape of their control polygons well. Thus the theoretics and methods are proposed for curve representation of the trigonometric polynomial space. By adding additional control points, the given graph examples show that the trigonometric polynomial curves are nearer their control polygons than the Bézier curves for the same parametric variable and the same degree.
Year
DOI
Venue
2015
10.1016/j.amc.2014.11.070
Applied Mathematics and Computation
Keywords
Field
DocType
bezier curve
Trigonometric polynomial,Trigonometric tables,Differentiation of trigonometric functions,Mathematical analysis,Trigonometric substitution,Mathematics,Trigonometric integral,Trigonometric interpolation,Pythagorean trigonometric identity,Integration using Euler's formula
Journal
Volume
ISSN
Citations 
251
0096-3003
4
PageRank 
References 
Authors
0.55
16
1
Name
Order
Citations
PageRank
Xuli Han115922.91