A method of fairing parametric cubic B_spline curves and bicubic B_spline surfaces is presented. The basic idea of the method is to reposition the control points by an optimization process.A new objectijve function pr...A method of fairing parametric cubic B_spline curves and bicubic B_spline surfaces is presented. The basic idea of the method is to reposition the control points by an optimization process.A new objectijve function presented is based on the variation of the third order derivatives of the cubic B_spline curves and bicubic B_spline surfaces at the nodes. The curves and surfaces faired using this method tend to possess curvature continuities. The numerical examples show that the effect of this method is acceptable.展开更多
Using wavelet technology is a new trend of investigating the representations and smoothing of curves and surfaces. This paper introduces the basic concept of hierarchical representations of curves, describes the defin...Using wavelet technology is a new trend of investigating the representations and smoothing of curves and surfaces. This paper introduces the basic concept of hierarchical representations of curves, describes the definition and calculation of the endpoint_interpolating cubic B_spline wavelets, discusses the algorithm of curve/surface wavelet decomposition, and, finally, points out the feasibility of using wavelets to smooth curves and surfaces.展开更多
文摘A method of fairing parametric cubic B_spline curves and bicubic B_spline surfaces is presented. The basic idea of the method is to reposition the control points by an optimization process.A new objectijve function presented is based on the variation of the third order derivatives of the cubic B_spline curves and bicubic B_spline surfaces at the nodes. The curves and surfaces faired using this method tend to possess curvature continuities. The numerical examples show that the effect of this method is acceptable.
文摘Using wavelet technology is a new trend of investigating the representations and smoothing of curves and surfaces. This paper introduces the basic concept of hierarchical representations of curves, describes the definition and calculation of the endpoint_interpolating cubic B_spline wavelets, discusses the algorithm of curve/surface wavelet decomposition, and, finally, points out the feasibility of using wavelets to smooth curves and surfaces.
