Abstract:
A description and analysis of a rational cubic spline curve is made for use in CAGD (Computer Aided Geometric Design). This rational spline provides not only computationally simple alternative to the exponential based spline under tension [Barsky'84, Cline'74, Preuss'76, Schweikert' 66] but also provides an alternative to the well known existing methods like cubic v-spline of Nielson [Nielson '74], y-splines of Boehm [Bohem'85] and weighted v-splines [Foley 87]. The method also recovers the rational spline with tension [Geogory and Sarfraz' 90] and the v-spline of Nielson [Nielson'74] as a special case. Two shape parameters are introduced in each interval which provide a variety of shape controls like point and interval tension. The spline is presented in interpolatory form.
Page(s):
27-40
DOI:
DOI not available
Published:
Journal: Punjab University Journal of Mathematics, Volume: 24, Issue: , Year: 1993