一类双变量有理插值曲面的区域控制

A Sufficient Condition of Bivariate Rational Interpolation Constraint

研究了一类双变量有理插值曲面的区域控制问题.在插值数据满足一定条件的情况下,导出了区城控制与参数无关的条件,此条件可将插值曲面控制在给定平面之上或之下,且以实例说明了给出的结论.

In this paper, region control of a bivariate rational interpolation surface is researched. When the interpolation data satisfies some cooditions, the region control has nothing to do with the parameters. If the condition is given, the surface must be above or below a given space plane in the patch. An example of this is given in the paper.