On Animate Study Of Smoothing And Free--Formed Deformation Of Combination Of Parametric Curve

The thesis discusses two respects of contents: One is deformation of combination of parametric curve.The other is smoothing of combination of parametric curve.Bezier curve has good character ,because it uses a sequnce of special basic function . Bezier curve has strong ability in practice and is widely used .In addition ,we often encounter a general problem-it is very difficult to describe a complex shape with a single Bezier curve precise .Method of Bezier definites shape of curve ,which is global project .If you locally modify curve ,it is necessary to affact the global .It is that method of Bezier has character of global control,but it has not charater of local control .By way of arbitrary partition .arbitrary degree elevation ,that may increases control point .increases potential active character of controling curve.Therefore, the thesis discusses mainly the problem of local free-form deformation ,which may make Bezier curve deform continuely and gain wanted figures.However, no matter what free-form deformation based on extension factor for parametric curve or arbitrary partition will reduce smoothness of parametric curve. Therefore.the thesis discusses the problem of smooth deformation parametric.Solving method is to realize smooth merging of parametric curve by smoothing parametric curve.To sum up ,the purpose of the thesis is that it discusses freely-smooth merging of combination.