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A class of quasi-quartic trigonometric polynomial Bézier curves with two shape parameters is presented. The trigonometric polynomial curves have the same characteristic with traditional quartic Bézier curves, and it can represent exactly some quadratic curves such as the arc of circle, arc of ellipse, arc of parabola without using rational form. Its shape can be adjusted locally or totally through...
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 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,...
Four 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. Meanwhile, they have many better properties than the quadratic B-spline curve. The given curves have continuity with equidistant knot...
Two kinds of trigonometric spline bases are constructed in this paper. Based on these bases, two kinds of trigonometric spline curves are defined. As each piece of these trigonometric spline curves are generated by three consecutive control points, these curves retain many properties of the quadratic B-spline curves, but they have better continuity than the quadratic B-spline curves. For equidistant...
This article proposes a new approach of thresholding aiming at achieving the best trade-offs between filtering the noises and retaining the image finenesses. A 3-order polynomial is utilized to interpolate on the hard-thresholds, enabling the continuity and differentiability for the new thresholding function. On the basis of Birge-Massart rules, the thresholds are quantized according to the actual...
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