本文证明了：正则曲面定义的条件“X是一个同胚可以减弱为条件”X是一对一的。
The paper shows, that the condition "X is a homeomorphism" of the definition of a regular surfaces can be substituted with the condition "X is One-to-one".
正则性是参数曲线曲面的重要代数性质，是由参数曲线曲面的参数化决定的。
Regularity is an important algebraic property of parametric curve and surface, which depends on the parameterization of parametric curve and surface.
根据坐标测量需进行测头半径补偿的特点，研究了正则等距曲线曲面的有关性质。
In terms of the feature of radius compensation for coordinate measurement, the natures of offset curve and surface are studied in the dissertation.
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