| EXAMPLE SENTENCES | ||
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与一个旋转曲面是等距对应的； S is isometric to a surface of revolution. | ||
利用坐标平移、旋转变换，导出旋转曲面面积求法的一般公式。 By making use of transformation of coordinate translation, coordinate rotation, we deduced general formula about area of rotational surface. | ||
同时它还能精确表示圆弧、椭圆弧等二次曲线，推广到空间即可以表示旋转曲面。 Also the curves can express the circle arc and ellipse arc and can construct rotate surfaces. | ||
第三部分提出了一种旋转曲面旋转轴反求的方法，利用B样条曲线拟和旋转面的母线并给出了算法实例。 The third section put emphasis on how to solve generatrix of rotation surface and use B-Splineto fit generatrix of rotation surface, and also examples are listed. | ||
本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。 Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed. | ||
本文主要研究四元数射影空间中的特殊曲面-极小曲面。 Minimal surfaces is the surface whose average curvature is zero. | ||
这样将两基曲面间构造过渡曲面的问题转化为在重新参数化局部基曲面间构造过渡曲面。 Therefore, generating a Parametric G n Blending Surface between two base surfaces is translated into generating a Parametric G n Blending Surface between the two reparameterized local base surfaces. | ||
这个曲面是一个双曲抛物面。 This one is a hyperbolic parabloid. | ||
提出基于补丁曲面质量检测线（反射线或高亮线）局部光顺NURBS曲面算法。 An efficient NURBS surface local fairing method was presented based on quality detection lines(reflection lines or highlight lines)of the patch. | ||
微分几何中的曲面论，用两个变量就可以完全参数化一个二维曲面。 According to surface theory in differential geometry, the two-dimensional surface is parameterized by two variables. | ||
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