1) interval implicitization
区间隐式化
1.
We study the interval implicitization of rational B-spline surfaces;that is,finding an interval implicit B-spline surface which bounds a given rational B-spline surface such that the width of the interval implicit B-spline surface is as small as possible.
提出有理B样条曲面的区间隐式化方法,即对一个有理B样条曲面,寻求包含给定的曲面的区间隐式B样条曲面,使得区间隐式B样条曲面的“厚度”尽量小,同时尽量避免出现多余分支。
2) uniform interval implicitization
均匀区间隐式化
1.
In this paper, a new concept called uniform interval implicitization of rational curves is proposed, which is finding an uniform interval curve with lower degree bounding a given rational curve and mini.
故此提出了参数式有理曲线均匀区间隐式化的一种新方法,利用区间算术和空间重心坐标的定义,可以用一个低阶区间多项式隐式曲线来逼近所给的参数式有理曲线,同时使一些目标函数最小化,达到用隐式多项式曲线来逼近参数式有理曲线的很好效果,并提供了一些算法和实例。
3) interval algebraic curve
区间隐式曲线
4) interval algebraic surface
区间隐式曲面
1.
In this paper,we put forward a new method called interval implicitization of rational surfaces,that is,finding an interval algebraic surface with lower degree to bound a given rational surface and minimize some objective function involving the width and the tension of the interval algebraic surface.
利用一个低阶多项式区间隐式曲面来包围所给的参数式有理曲面,并构造了一些关于区间隐式曲面厚度和微分张量的目标函数。
5) interval implicit B-spline surface
区间隐式B样条曲面
1.
We study the interval implicitization of rational B-spline surfaces;that is,finding an interval implicit B-spline surface which bounds a given rational B-spline surface such that the width of the interval implicit B-spline surface is as small as possible.
提出有理B样条曲面的区间隐式化方法,即对一个有理B样条曲面,寻求包含给定的曲面的区间隐式B样条曲面,使得区间隐式B样条曲面的“厚度”尽量小,同时尽量避免出现多余分支。
6) Implicit Space
隐式空间
补充资料:公理化方法(见公理化和形式化)
公理化方法(见公理化和形式化)
axiomatical method
gongllbuafangfa公理化方法化和形式化。(axiomatieal method)见公理
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