Four Kinds of Trigonometric Spline Curves with Shape Parameter

Four kinds of trigonometric spline curves with shape parameter are presented in this paper. The trigonometric spline curves are constructed with three consecutive control points for each curve segment. The given curves posses many properties of the quadratic B-spline. Meanwhile, they have many bette...

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Bibliographic Details
Published in2009 International Conference on Business Intelligence and Financial Engineering pp. 660 - 663
Main Authors JiongFeng Liang, LanLan Yan
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2009
Subjects
Analytical models
computer application
Computer graphics
continuity
Educational institutions
Information science
Mathematics
Polynomials
Shape control
shape parameter
Spline
spline curve
Surface reconstruction
Surface topography
trigonometric basis
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Summary:Four kinds of trigonometric spline curves with shape parameter are presented in this paper. The trigonometric spline curves are constructed with three consecutive control points for each curve segment. The given curves posses many properties of the quadratic B-spline. Meanwhile, they have many better properties than the quadratic B-spline curve. The given curves have continuity with equidistant knot vector, and they have continuity when choosing special parameters. The shape parameter can adjust the given curvespsila shape with the same control polygon. With the increase of the shape parameter, the trigonometric spline curves approximate to the control polygon. The given curves can be closer to the control polygon than the quadratic B-spline curve.
ISBN:9780769537054
0769537057
DOI:10.1109/BIFE.2009.154