A new method to design a cubic Pythagorean-hodograph(PH)spline curve from any given control polygon is proposed.The key idea is to suitably choose a set of auxiliary points associated with the edges of the given contr...A new method to design a cubic Pythagorean-hodograph(PH)spline curve from any given control polygon is proposed.The key idea is to suitably choose a set of auxiliary points associated with the edges of the given control polygon to guarantee the constructed PH spline has G1 continuity or curvature continuity.The method facilitates intuitive and efficient construction of open and closed cubic PH spline curves that typically agrees closely with the same friendly interface and properties as B-splines,for example,the convex hull and variation-diminishing properties.展开更多
In this paper, a new method for blending two canal surfaces is proposed. Theblending surface is itself a generalized canal surface, the spine curve of which is a PH(Pythagorean-Hodograph) curve. The blending surface p...In this paper, a new method for blending two canal surfaces is proposed. Theblending surface is itself a generalized canal surface, the spine curve of which is a PH(Pythagorean-Hodograph) curve. The blending surface possesses an attractive property - itsrepresentation is rational. The method is extensible to blend general surfaces as long as theblending boundaries are well-defined.展开更多
文摘A new method to design a cubic Pythagorean-hodograph(PH)spline curve from any given control polygon is proposed.The key idea is to suitably choose a set of auxiliary points associated with the edges of the given control polygon to guarantee the constructed PH spline has G1 continuity or curvature continuity.The method facilitates intuitive and efficient construction of open and closed cubic PH spline curves that typically agrees closely with the same friendly interface and properties as B-splines,for example,the convex hull and variation-diminishing properties.
文摘In this paper, a new method for blending two canal surfaces is proposed. Theblending surface is itself a generalized canal surface, the spine curve of which is a PH(Pythagorean-Hodograph) curve. The blending surface possesses an attractive property - itsrepresentation is rational. The method is extensible to blend general surfaces as long as theblending boundaries are well-defined.
