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中文摘要：
基于参数表示和隐式表示的优点提出了一种新的曲线曲面表示方法——隐参数曲线曲面，并给出了新表示形式下曲线曲面的相关微分几何概念．这种表示在整体形式上为参数形式，但定义域为隐函数形式．从而不仅易于计算曲线、曲面上的点及其他信息，而且可以表示一些具有复杂拓扑的曲线曲面．最后通过实例展示了它在表示复杂拓扑形状和形状作局部控制等方面的应用．
英文摘要：
A new method named implicitly parametric curve and surface, which is a parametric form with an implicit domain, was presented. It inherits the advantages of parametric forms and implicit forms. Concretely, on the one hand, it is easy to computer the local information of curves or surfaces as well as parametric forms do. On the other hand, by an implicit domain, a curve and surface with complex topology was represented easily. And the relevant differential geometry concepts of the new representation form were described. Finally, several examples were given to show its application in representation of curve and surface with complex topology and the local control of the curve and surface.
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