Home > Papers

 
 
CAH B-Spline Curves and Its Applications
Xie Jin * #
Department of mathematics and physics, Hefei university, HeFei 230601
*Correspondence author
#Submitted by
Subject:
Funding: the Nature Science Foundation of Hefei University（No.11KY02ZD,12RC07）, the National Nature Science Foundation of China （No.61070227 ）, the Nature Science Foundation of Anhui Province（No.1208085MA15）
Opened online: 4 June 2012
Accepted by: none
Citation: Xie Jin.CAH B-Spline Curves and Its Applications[OL]. [ 4 June 2012] http://en.paper.edu.cn/en_releasepaper/content/4479870
 
 
A kind of quasi-cubic uniform B-spline curves (briefly CAH B-spline curves) unified by algebraic and hyperbolic polynomial using weight method is presented in this paper. Here weight coefficients are called weight parameters. The interval [0, 1] of weight parameter values can be extended to [-62.1748, 12.6061]. The curves can include cubic B-spline curve as special case and reach the both sides of cubic B-spline curve. Not only can the shape of the curve be adjusted totally or locally, but also the type of some segments of a blending curve can be switched by taking different values of the weight parameters. If letting weight parameters be 31.0739, the curve can interpolate certain control points directly without solving system of equations. The defined curves can be used to precisely represent some conics and transcendental curves with the weight parameter and the positions of the control points chosen properly.
Keywords:computer aided geometric design; CAH B-spline; weight method; local interpolation and adjustment; transcendental curve
 
 
 

For this paper
  • ● PDF (0B)
  • ● Revision 0 　　
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags
Add yours

Related Papers

Statistics
PDF Downloaded 334
Bookmarked 0
Recommend 5
Comments Array
Submit your papers