Paper Info
Title
Two Kinds of Trigonometric Spline Curves with Shape Parameter
Abstract
Two 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 curve. Meanwhile, they have many better properties than the quadratic B-spline curve. The first kind of curve is continuous with equidistant knot vector, and it is continuous with special shape parameter. The second kind of curve is continuous with equidistant knot vector. The shape parameter can adjust the given curves' 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. In the last, the trigonometric spline surfaces with shape parameter are also constructed and they have most properties of the corresponding trigonometric spline curves.
Year
DOI
Venue
2009
10.1109/ESIAT.2009.22
ESIAT (1)
Keywords
Field
DocType
equidistant knot vector,continuity,computer application,trigonometric spline,curves posse,curve segment,computational geometry,trigonometric spline curve,curve fitting,shape parameter,special shape parameter,quadratic b-spline curve,control polygon,trigonometric spline curves,trigonometric basis,spline curve,corresponding trigonometric spline curve,splines (mathematics),polynomials,spline,application software,data mining,mathematics,computer graphics,shape,surface topography,information science,surface reconstruction
Spline (mathematics),Polygon,Family of curves,Hermite spline,Curve fitting,Mathematical analysis,Smoothing spline,Flat spline,Shape parameter,Mathematics
Conference
Volume
ISBN
Citations 
1
978-0-7695-3682-8
1
PageRank 
References 
Authors
0.35
1
3
Name
Order
Citations
PageRank
Lanlan Yan1172.68
Jiongfeng Liang2172.68
GuoGen Wu311.03