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We provide particular comparison results of error on an implicit and parametric surface.

我们选择隐式曲面和参数曲面做了详细的误差比较。

Chapter four and five aim at the problems of construcfion and representation of blend surface for parametric surfaces.

第四章与第五章研究的是参数曲面的过渡曲面生成问题。

In this paper, the regular domain of traditional parametric surface is generalized to manifold, and a new method is proposed to construct smooth surface based on this domain manifold.

将传统参数曲面的规则定义域推广到一般的二维流形上,并基于定义域微分流形提出了一种新的光滑曲面构造方法。

The implicit or parametric surface has been defined very well in differential geometry.

在传统微分几何中,隐式曲面或参数曲面有完备的定义和计算公式。

To advance the concept system of half space in the vicinity of parametric surface which has been used to settle the key technique problem of set operations-a unified classification method between surface and solid.

提出了参数曲面的邻域半空间的概念体系,并利用邻域半空间解决了集合运算过程中曲面与实体统一分类的关键技术问题。

This surface is a piecewise bi-cubic rational parametric polynomial surface.

构造的曲面是分片双三次有理参数多项式曲面

This paper introduced some application of Mathematica in drawing geometrical graphics,gave a common method to get the parametric function of surface of revolution in three-dimensional space,and the Mathematica programs of several examples about the surfaces were given.

介绍了Mathematica在几种几何图形绘制中的应用,提出了获得空间旋转曲面的参数方程的一般方法,并给出了用Mathematica绘制空间旋转曲面的实例的源代码。

Based on parametrization representation of subdivision surfaces,precise intersection and trimming algorithms are put forward.

基于细分曲面的参数化表示,研究了细分曲面的精确求交、裁剪算法。

After the two steps,the toroidal parametrization can be obtained effectively.

本文最后一章给出了基于隐参数曲面表示理论的封闭曲面参数化方法。

This thesis focuses on surface reconstruction from point cloud model, and have discussed and extended three common methods: Moving Least Squares method, Radial Basis Functions method and Multi-level Partition of Unity method.

本文以点云模型曲面重构为研究对象,研究并扩展了三种常用曲面重构方法:最小移动二乘法(MLS:Moving Least Squares Method)法,径向基函数(RBF:Radial Basis Functions method)法和多层次单元分割(MPU:Multi-level Partition ofUnity method)法。

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