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subdivision curve and surface 细分曲线及曲面
By extending the normal based subdivision scheme for curve and surface design, a new algorithm for image interpolation is proposed in this paper. 摘要将基于法向的曲线细分技术应用到图像插值中，提出一种基于细分的图像插值算法。
In chapter 2, it tells the definition of B-spline curve and surface and the fundamental algorithm - de Boor algorithm for points of curve and surface. 在第二章中，介绍了B样条曲线曲面的定义及基本算法--求曲线曲面点的德布尔算法；
Thesis is devoted to construct and analysis piecewise rational splines, algebraic curve and surface for interpolation. 首先对参数曲线曲面、代数曲线曲面等问题的历史背景和研究现状进行了综述，并归纳了本文所做的工作。
Therefore, the problem of fairing curve and surface becomes very important in CAD/CAM. 因此，曲线曲面的光顺处理就成为CAD／CAM中非常重要的一个问题。
The pure mathematics of points and lines and curves and surfaces. 关于点,线,曲线和表面的纯数学。
The second one emphasizes in the theory of BSC curves and surfaces. 第二部分为BSC曲线曲面的理论。
Many parametric curves and surfaces have been developed in CAGD. 在计算机辅助几何设计领域中,许多种参数曲线和曲面已经有了完整的理论。
Conhclusion The technical solution to reconstruct curve and surface models from cryo-sectional images is feasible and effective. 结论从冷冻切片图像序列中重建骨组织曲线曲面模型的技术路线可行、有效。
NURBS has become only way in describing free curve and surface of product modeling because of its rich expression and flexible design characteristics. 摘要非均匀有理B样条(NURBS)因为其丰富的表达内涵和灵活的设计特性已成为产品建模中描述自由曲线、曲面的惟一方法。
A whole technology way of reconstructing curve and surface model of skeletal tissue based on the Chinese digital human data was proposed. 提出从中国数字化可视人体数据集中获取骨组织曲线、曲面模型的完整技术路线。
M. P. doCarmo, Differential Geometry of Curves and Surfaces, Prentice-Hall. 陈维桓，微分几何初步，北京大学出版社。
The result show that the application of NURBS technology can improve the efficiency and accuracy of computer design for complicate curve and surface model. 实践结果表明:应用NURBS技术将大大提高利用计算机设计复杂曲线曲面模型的精度和效率.
Non-Uniform Rational B-spline(NURBS) is the significant standard of describing and processing geometry problem on curve and surface in Computer Aided Geometry Design (CAGD). 非均匀有理B样条(Non-Uniform Rational B-spline，简称NURBS)方法，是计算机辅助设计(CAGD)中表示和处理曲线曲面几何问题的一项重要标准。
Results A comprehensive technical solution to bone structure curve and surface modeling from cryo-sectional images is presented, and surface models database is established. 结果提出从中国数字化可视人体数据集中获取骨组织曲面几何模型的完整技术路线，并建立完善的曲面数据库。
With the Lagrange multiplier method, the minimum distance of the center of a circle and a quadric surface was provided and the tangency condition of curve and surface was given. 利用拉格朗日乘子法求解二次曲线和二次曲面之间的最小距离,给出了曲线与曲面相切的条件。
Hull line fairing is the basis and core of ship design and is the key to realizing the aim of ship design, which includes fairing of hull curve and surface. 船体型线光顺设计是船舶设计的基础和核心，是实现船舶设计目标的关键，包括船体曲线和船体曲面光顺设计。
A new algorithm of lossless compression about free-form curve and surface in CAD models was proposed to effectively exchange and transmit the model data in collaborative design environment. 针对协同设计环境下三维CAD模型网络传输慢等技术瓶颈，提出了一种针对精确CAD模型中自由曲线曲面的无损编码压缩算法。
As the foundation of Computer-Aided Geometric Design(CAGD), it is important to improve the way of the generating algorithms for curve and surfaces . 曲线曲面的生成算法是计算机辅助几何设计的基础，它的每一步改进，对计算机辅助几何设计有着十分重要的意义。