曲线和曲面运动有着广泛的应用。
The motions of curves and surfaces have a wide range of applications.
目前几乎所有的曲线和曲面都实现过了。
There are currently almost all the general curves and surfaces implemented.
NURBS广泛地应用在曲线和曲面设计中。
NURBS curve has been widely used in curve and surface design.
研究了曲线和曲面的光顺准则、方法和评估手段。
The principles, methods and evaluation of the fairing of surfaces and curves are also discussed.
特别地，许多可积方程都自然地产生于曲线和曲面运动。
In particular, many integrable equations arise naturally from motions of curves and surfaces.
因此，很多非线性演化方程都与曲线和曲面运动有着密切的关系。
So many nonlinear evolution equations have been shown to be closely related to motions of curves and surfaces.
工作流创建的汽车可能会有所不同，使用样条曲线和曲面箱造型。
The workflow for creating a car can vary, from using splines and surfaces to box modeling.
NURBS曲线是目前曲线和曲面最好的描述形式，在三维造型中已得到广泛应用。
NURBS is the best representative form for curve and surface, which finds wide application in three-dimensional modeling.
基于参数曲线和曲面控制的空间变形是重要的几何外形编辑和柔性物体动画实现手段。
Space Deformations controlled by parametric curve or surface are important methods for geometric shape edit and flexible object animation.
有理曲线和曲面作为一类重要的逼近函数，在计算机辅助设计与制造中有着广泛的应用。
Rational curves and rational surfaces, which are a class of important approximation functions, are extensive applied in CAD/CAM.
用实体造型方法探讨中国仿古建筑方亭顶部的计算机绘图技术，同时，对形成该顶部的曲线和曲面进行了较深入的分析。
This paper analyses the curves and surface of the top of a Chinese ancient pavilion, in order to discusses the computer drawing method by the solid model technique.
本文论述了自由曲面(NURBS曲线和曲面)的理论和技术基础，并对其在CAD领域的工程实际应用进行了研究和探索。
In this paper, the theoretical and technical bases of NURBS curve and surface are mainly discussed. Its engineering application and practice in the field of CAD are also researched.
新方法具有计算量小，所得到的延伸曲线曲面更为光顺，并且具有更小的应变能和曲率变化率的优点。
The new method is calculated simply, the extended curve and surface is more fairing, and have less energy and more smooth curvature variation.
文章把这些方法推广到曲线积分和曲面积分中，并给出了证明。
This article popularizes these methods in the calculation of curvilinear integral and surface integral and gives proof of them as well.
本文针对这两个方面，主要研究了曲线曲面快速逐点生成算法和曲面的保形技术，并提出了两个新的方法。
This thesis not only reviews the technology of the Point-to-Point generating surfaces and surfaces preserving, but also presents two new methods.
本文提出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间的架起一道桥梁；
Second we present the convolution surface and curve correspondence theorem under orthogonal projection, which provide a bridge between 2D image contour and 3D human model.
本文提出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间的架起一道桥梁；
Second we present the convolution surface and curve correspondence theorem under orthogonal projection, which provide a bridge between 2D image contour and 3D human model.
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