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Three kinds of trigonometric bases are given in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. Analogous to the quadratic B-spline curves, the curves are constructed with three consecutive control points for each curve segment. The curves posses many properties of the quadratic B-spline curve. Meanwhile, they have many better properties...
Two kinds of polynomial bases with parameter are constructed in this paper. Based on these bases, two kinds of curves with shape parameter are defined. The first kind of curve contained the Wang-Ball and Said-Ball curve of ninth degree and many curves located between them. The second kind of curve contained the Said-Ball and Bezier curve of ninth degree and many curves located between them. By analyzing...
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...
Three kinds of trigonometric bases are constructed in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. As each piece of the curves is generated by three consecutive control points, they retain many properties of the quadratic B-spline curves, but they have higher order continuity than the quadratic B-spline curves. For equidistant knots,...
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