Given a set of ordered data points Pi (i = 0,1, ... , n), this paper constructs a class of parametric spline curve which interpolates all points Pi and have C2-continuity. A shape preserving interpolating spline curve...Given a set of ordered data points Pi (i = 0,1, ... , n), this paper constructs a class of parametric spline curve which interpolates all points Pi and have C2-continuity. A shape preserving interpolating spline curve can be obtained by adjusting parameters ai. Finally, some examples illustrate that the curve is efficient for curve design.展开更多
Many-knot spline interpolating is a class of curves and surfaces fitting method presentedin 1974. Many-knot spline interpolating curves are suitable to computer aided geometric design anddata points interpolation. In ...Many-knot spline interpolating is a class of curves and surfaces fitting method presentedin 1974. Many-knot spline interpolating curves are suitable to computer aided geometric design anddata points interpolation. In this paped, the properties of many-knot spline interpolating curves arediscussed and their applications in font design are considered. The differences between many-knotspline interpolating curves and the curves genoaed by exceeding-lacking adjuStment algorithm aregiven.展开更多
文摘Given a set of ordered data points Pi (i = 0,1, ... , n), this paper constructs a class of parametric spline curve which interpolates all points Pi and have C2-continuity. A shape preserving interpolating spline curve can be obtained by adjusting parameters ai. Finally, some examples illustrate that the curve is efficient for curve design.
文摘Many-knot spline interpolating is a class of curves and surfaces fitting method presentedin 1974. Many-knot spline interpolating curves are suitable to computer aided geometric design anddata points interpolation. In this paped, the properties of many-knot spline interpolating curves arediscussed and their applications in font design are considered. The differences between many-knotspline interpolating curves and the curves genoaed by exceeding-lacking adjuStment algorithm aregiven.
