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 control polygons 控制多边形(11)
 控制多边形
 The Research of the Bounds on the Deviation between Curves and the Corresponding Control Polygons 曲线与控制多边形之间偏差的界的研究 短句来源 Thirdly, we obtain the representations of integral circle, cycloid and sinusoid on a period by uniform C-B-splines of degree 3, along with adding control points the control polygons approach the generated curves, the approximation accuracies are better than that in [16] and [18]. 3.给出了整圆、一个周期上的摆线及正弦曲线的三次均匀C-B样条表示,随着样条节点的增加,控制多边形越来越逼近生成曲线,比文[16]与[18]的逼近度优越的多。 短句来源 In the case of the bounds on the deviation between cubic Bezier curves and the corresponding control polygons, we analyse the effects of the bounds by different norm and the shape of curve. 以三次Bézier曲线和控制多边形之间偏差的界为例,分析了不同的范数空间和曲线形状对界的影响。 短句来源 This paper presents a method to ensure the fitting convex interpolation value,namely,to control the controlling vector of Beta sample which has a functional fitting curve,thus establishing a criterion in judging the convex with the relation between node control polygons and the control of polygons as a conditions. 本文采用Beta样条函数拟合曲线，提出了通过控制Beta样条的控制矢量以保证拟合的保凸性，建立了以节点多边形与控制多边形之间关系为条件的保凸性判别准则。 短句来源 Based on the study of the bounds on the deviation between curves and surfaces and the corresponding control polygons and nets, a new algorithm is presented to reduce the bounds on the deviation between the former curves and the corresponding control polygons. 本文在研究了以往关于曲线曲面与控制多边形及控制网格之间偏差界的基础上,提出了一种新的算法,缩小了原有的曲线与控制多边形之间偏差的界。 短句来源 更多
 “control polygons”译为未确定词的双语例句
 A Class of B-spline Curves Approximating to Its Control Polygons 一类可逼近控制多边形的B样条曲线 短句来源 A simple algorithm of constructing planar piecewise 4-order HBézier-like curves with all edges tangent to given control polygons is described. 提出了构造与多边形各边都相切的平面分段 4 阶 H Bézier-like 曲线的简便算法. 短句来源 First the control mesh is refined twice by using subdivision rules such as Doo-Sabin subdivision, Catmull-Clark subdivision. Then the refined control mesh is transformed into control polygons of Bézier surfaces or B-spline surfaces. 首先,采用Doo-Sabin或Catmull-Clark细分规则细分控制网格,并把细分后的控制网格转化为整体光滑拼接的Bézier曲面或B-样条曲面,自由曲面上的参数切向与其法向张成了一个局部坐标系; 短句来源 Furthermore, it is proved that the control polygons generated by the subdivision converge to the original H-Bezier curves. Some important properties are proved for H-Bezier curves, such as convexity preserving and the variation diminishing properties. Fourthly, G' and G2 continuous conditions of H-Bezier curves are presented. 2.基于所构造的H-Bezier基函数定义了H-Bezier曲线,讨论了H-Bezier曲线的几何性质,如端点插值性、几何不变性、凸包性、变差缩减性等几何性质。 短句来源 On this basic, paper find the connection of rational B-spline basis and rational Bézier basis,based on these relation ,find the control polygons’relation. 进一步还给出了有理B样条曲线和有理Bézier曲线的相互转化关系. 短句来源 更多
 相似匹配句对
 F, as control. F,对照组。 短句来源 U. in control. U. 短句来源 A Class of B-spline Curves Approximating to Its Control Polygons 一类可逼近控制多边形的B样条曲线 短句来源 The Research of the Bounds on the Deviation between Curves and the Corresponding Control Polygons 曲线与控制多边形之间偏差的界的研究 短句来源

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 control polygons
 It is known that non-self-intersecting regular Bézier curves have non-self-intersecting control polygons, after sufficiently many uniform subdivisions. It is known that the sequence of control polygons of a Bézier-De Casteljau curve or surface obtained by the "degree elevation" process converges towards the underlying curve and surface. Bernstein bases, control polygons and corner-cutting algorithms are defined for C1 Merrien's curves introduced in [7]. This paper presents a short, simple, and general proof showing that the control polygons generated by subdivision and degree elevation converge to the underlying splines, box-splines, or multivariate Bézier polynomials, respectively. The paper analyses the convergence of sequences of control polygons produced by a binary subdivision scheme of the form 更多
 In this paper,a new method for fast finding intersection of two bicubic surface patches is de- scribed.Based on subdivision algorithm,two control polygons are first made to approximate the surfaces with arbitrary precision,then the curve of intersection can be fast found by a series of triangles and lines defined in a particular way. 本文提出了一种新的曲面求交方法,这种方法基于曲面控制网格的“子”分方法,只要控制网格足够逼近曲面,则通过对控制网格处理一系列特殊的直线与三角形求交问题,就可迅速、逼近地求出两张双三次曲面片的交线。 A new method for fast finding the intersection of two bicubic parametric sulfaces in theform of Bezier and B-spline is proposed.It is an improvement on three existing ones.Thismethod is based on the“subdivision”of control polygons of the surfaces. If two control poly-gons are sufficiently approximate to the surfaces,the latter can be replaced by the tinyplanes of the control polygons and the curve of intersection can be quickly found by a seriesof intersections of triangles and lines defined... A new method for fast finding the intersection of two bicubic parametric sulfaces in theform of Bezier and B-spline is proposed.It is an improvement on three existing ones.Thismethod is based on the“subdivision”of control polygons of the surfaces. If two control poly-gons are sufficiently approximate to the surfaces,the latter can be replaced by the tinyplanes of the control polygons and the curve of intersection can be quickly found by a seriesof intersections of triangles and lines defined in a particular way.This method is stable andof good convergence rate and high efficiency.It has been successfully used in the investiga-tion on VISC for a 3-D computer electromagnetic radiation field and some other investiga-tions. 针对工程上广泛应用的双三次Ｂｅｚｉｅｒ，Ｂ样条曲面，提出一种新的曲面求交方法．这种方法基于曲面控制网格的“子”分方法，只要控制网格足够逼近曲面，便可用控制网格的小平面代替曲面本身，从而快速求出两张双三次参数曲面的交线． A shape blending algorithm of 2-D curved shapes is presented in this paper. A curvedshape is represented by a closed Non-Uniform Rational B-Spline(NURBS). We determine the inter-mediate shapes by interpolating the intrinsic definitions of the initial and final control polygons. Thisalgorithm can avoid shrinkage resulted from linear vertex interpolation and produce smcoth intermedi-ate shapes. Aliasing problems can also be easily eliminated. ２－ＤＳＨＡＰＥＢＬＥＮＤＩＮＧＯＦＮＵＲＢＳＣＵＲＶＥＳＨＡＰＥＳＪｉｎＸｉａｏｇａｎｇ；ＢａｏＨｕｊｕｎ；ＰｅｎｇＱｕｎｓｈｅｎｇ２－ＤＳＨＡＰＥＢＬＥＮＤＩＮＧＯＦＮＵＲＢＳＣＵＲＶＥＳＨＡＰＥＳ￥ＪｉｎＸｉａｏｇａｎｇ；ＢａｏＨｕｊｕｎ；Ｐｅ... << 更多相关文摘
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