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And then, using Matlab, we give some examples on regular surfaces. For example, plane, helicoidal, 3-dimensional Gauss profile, etc.

最后利用数学软件Matlab,给出了一系列的由光滑曲面上的参数曲线网经过离散化得到的离散参数曲线网,如平面,正螺面,三维Gauss型分布图,由3dMax生成的一般曲面等。

Department of Mechanical Engineering;Tianjin University;Tianjin 300072Chen JiuchunTianjin Institute of Hydrographic Surveying and Charting;Tianjin 300061

采用改变控制参量取值的方法构造所需的各种曲线、曲面,为曲线、曲面造型提供了一种简捷的数学方法。

It has been widely used in recent years, for it not only solves some problems in computer graphics, such as arbitrary topology and compatibility, but also retains several advantages of traditional NURBS, including the properties of localness and affine-invariance.

由于细分曲面不但解决了计算机图形学中遇到的任意拓扑和一致性表示问题,而且还保留了传统NURBS曲面表示所具有的局部性、仿射不变性等良好性质,因而近年来得到广泛的应用。

Based upon the classification of the QSIC, an algorithm for computing a nonplanar intersection curve of any two quadric surfaces is presented in this thesis.

在对两二次曲面非平面交线进行拓扑分类的基础上,本文提出了计算任意两二次曲面非平面交线的算法。

Second, a nonuniform bilateral filtering algorithm for point set surface and surface attributes is developed, in which the tangent shift of points is avoided. The algorithm can be applied when points are sampled nonuniformly.

其次提出了基于双边滤波对曲面和定义在曲面上的函数的非一致双边滤波算法,该算法不仅避免了滤波过程中点的切向漂移,而且考虑了点采样的密度使得算法可以适应非均匀采样。

Today, the products are manufactured according to ergonomics and artistic. So, engineers usually design an object with exquisite shapes. Before the products are manufactured, they will be segment to several parts with machinability. Those parts usually have the feature of free-form surface. However, it is difficult to determine whether those parts are partible or not.

现今的产品,为了人体工学、视觉美观的因素,常设计了相当精巧的曲线,所以切割出来的零件常具有复杂曲面的特徵,这些复杂曲面通常造成了判断零件的可脱模性上,相当大的困扰,在模具设计的流程中将会增加相当多的时间。

With Platycodon root as experiment material, on the base of single factor experiments (extraction time, extraction temperature and so on), then through the experimental design of response surface methology, the conditions of extraction are studied.

以桔梗为实验材料,在提取温度、提取时间、料液比等单因素实验的基础上,利用响应曲面实验设计法对桔梗皂甙提取条件进行研究,并通过回归方程和响应曲面,得到了最佳提取工艺。

It is assumed that the surface does not curve more than 1808 (the point cloud is projectable to a plane), e.g. the method does not work for surfaces such as a complete cylinder or a sphere.

假设这些曲面弯曲都不超过180度,例如,这种方法不适合完全是一个圆柱或是球体的曲面

Utilize the technology of NURBS surface fitting, to sort the product appearance form, and then to reconstruct it. Through experiment, verify the result of using NURBS surface fitting technology to reconduct free surface can get the satisfactory product form without the need for high precision conditions.

利用NURBS由面拟合技术,将产品外观按形态先进行分类,再据此对产品外形进行重构通过实验,验证了在不需要较高精度的条件下,利用NURBS曲面拟合技术对自由曲面进行重构,能获得令人满意的产品形态。

Chapter 2: The principles of triangular Bezier surface modeling were introduced, including degree elevation, differentiation, split and reginal change, etc. The explicit triangular Bezier C〓 modeling and parametric triangular Bezier GC〓 modeling were also introduced.

第二章 系统研究了Bezier三角曲面的基本理论,包括Bezier三角曲面的升阶、求导、分割和区域变换理论;给出了显式Bezier三角曲面的C〓构造和参数Bezier三角曲面的GC〓构造方法。

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