2010•Journal of Hefei University of TechnologyRequires access
Three kinds of quadratic trigonometric spline curves with shape parameter
Yan Lan-lan
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Abstract
Three kinds of trigonometric spline bases are constructed in this paper. Based on these bases,three kinds of trigonometric spline curves are defined. As each piece of these trigonometric spline curves is generated by three consecutive control points,these curves retain many properties of the quadratic B-spline curve,but they have higher order of continuity than the quadratic B-spline curve. For equidistant knots,these curves are C2 continuous,and they are C3 continuous under special conditions. Besides,these curves are closer to the control polygon than the quadratic B-spline curve.