1) UV B Curve Network
UVB样条曲面
2) surface spline
曲面样条
1.
Based on forming irregular triangular network, the authors adopted surface spline as interpolation algorithms, and then used Open GL to light, successfully realized the modeling of bedded mineral deposit, making it be able to rotate in a certain angle and direction.
针对层状矿床的真实形态往往受到多种地质因素的制约和对矿体的开采、设计有重要影响的问题,在构造不规则三角网的基础之上,采用曲面样条函数对三角网数据进行平滑插值,然后采用OpenGL实施光照,成功地实现了层状矿床的模拟,使其能以一定的角度和方位旋转,放大和缩小,并且能实现任意方向的剖面剖切。
2.
The coefficients of lift and pitch moment of experimental aerodynamic forces were introduced into the longitudinal maneuvering flight computation by use of surface spline,and flight loads on overall aircraft were elastically corrected based on pressure distribution of experimental aerodynamic forces simultaneously.
通过曲面样条插值将试验气动力的升力系数和俯仰力矩系数引入纵向机动飞行过程的计算,同时基于试验气动力的压力分布进行全机飞行载荷的静气动弹性修正。
3) spline surface
样条曲面
1.
Based on B-net subdivision technique, a new algorithm on displaying bivariate spline surface, defined on triagular domain with three direction mesh,is discussed.
本文应用B网分裂加密的思想,讨论在计算机上快速实现二元三方向网格上三角域样条曲面的显示。
2.
The paper introduces an algorithm for creating smooth spline surfaces over control triangular meshes capable of outlining arbitrary free-form surfaces with or without boundary.
介绍了一种在控制三角形网格上创建光滑样条曲面的算法,该控制网格能够刻画具有或没有边界的任意自由曲面。
3.
The spline surface and the original surface are combined to generate a new rational surface by adding the weights.
利用样条曲面和原曲面加权组合构造一个新的有理曲面,该曲面通过插值原曲面的等距曲面上的采样点,从而逼近等距曲面。
4) B-spline surface
B样条曲面
1.
Improvement on modeling a 3-D yarn with B-spline surface;
B样条曲面技术构建单纱模型的改进
2.
Study on constructing the 3D yarn model by B-spline surface (part Ⅱ):inserting 3D bumping texture on the surface of the yarn;
用B样条曲面构建纱线三维模型的研究(Ⅱ):纱线捻度的三维模拟
3.
Interpolation for improving the subpixel spatial resolution based on bi-cubic B-spline surface;
基于双三次B样条曲面亚像元图像插值方法
5) B-spline surfaces
B样条曲面
1.
A new method of rapid evaluation of B-spline surfaces was proposed with GPU fragment program.
提出了一个基于GPU片元程序计算B样条曲面的加速算法。
2.
At the same time, we need to transform triangular mesh model to parameterized smooth B-Spline surfaces in order to redesign the part or other consequent application.
同时,为了便于零件的改型设计及其他的后续应用,需将三角网格模型转化为参数化的光滑B样条曲面模型。
6) B-spline surface
B-样条曲面
1.
The surface of the paddle blade is non-uniform rational B-spline surface,the surface has met precision requirements for paddle blade.
桨叶曲面为非均匀有理B-样条曲面,达到了桨叶曲面的精度要求。
2.
For each feature region,different method was applied for quadratic surfaces and B-spline surfaces separately.
基于原始曲面的信息,对变形后的网格进行区域分割,针对分割后的每个特征区域,分别对二次曲面和B-样条曲面采用了不同的重构方法。
补充资料:B样条曲面
B样条曲面
B-spline surface
B yangtiao qumianB样条曲面(Bsp一ine surface)用分段B样条多项式函数及控制点网格定义的面。基于B样条曲线,可以得到B样条曲面的表示式。给定(m+1)(n十l)个空间点列凡(i=0,1,…,m,]=0,1,…,n),则s(二,w)一艺艺尸。从,*(。)凡,,(w),该二0少=O u,功任[0,1」定义了kXz次B样条曲面。式中从,*(u)和凡,,(w)分别是k次和l次的B样条基函数,由凡组成 的空间网格称为B样条曲面的控制点网格。上式 也可写成如下的矩阵式称(u,二)二认呱几M王w王,y任[l,。+2一划 z任[l,n+2一z〕,u,wC〔O,1」式中y,z—表示在u,w参数方向上曲面片的 个数。 Uk=[。‘一‘,uk一2,…,u,1〕, 钱二仁砂一’,砂一2,…,w,1〕, 凡,二氏,i任[y一1,y+k一2〕, ,任仁z一1,z+z一2] 凡是某一个B样条面片的控制点编号。最常用的 是二、三次均匀B样条曲面的构造。 (1)均匀双二次B样条曲面 已知曲面的控制点巧(i,]=o,1,2),参数u、 二,且O镇u,w簇1,k=l=2,构造步骤是: ①沿w(或u)向构造均匀二次B样条曲线,即 有 ,「‘一“P0(w,一L矿“」[一::侃同哪 WMs经转置后尸。(w)=「尸oo尸。,尸。2〕磷wT;同上可得P,(二)=[尸,。尸,,尸,2」M五WT pZ(二)=[pZ。p21 p22]M百wT ②再沿u(或w)向构造均匀二次B样条曲线,即可得到均匀双二次B样条曲面。 ,L 11﹁.!一|到泊恤、、/)pp(w嘿的嘿编s(u,w)二UM日(w T W TB M翻川州护P PP=UM白 匕PZo P21简记为s(u,二)二〔侧砂呵百wl (2)均匀双三次B样条曲面 已知曲面的控制点八(£,j=o,1,2,3),参数u,二且“,w任【0,1],构造双三次B样条曲面的步骤同上述,其矩阵形式是 S(u,w)=L时正声吸至百wT, 门几创川川旧洲翻叼--302 1222犯尸尸尸P尸尸尸尸尸冲尸峥 一一 P月J月j 3一6,l八、︶n”4.内J,1卜|匡IL 1一6 一一 姚双三次B样条曲面如图1所示。图1双三次B样条曲面
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