共查询到17条相似文献，搜索用时 187 毫秒
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给出NURBS曲线形状微调的方法。构造一条NURBS曲线。该曲线插值要调整的原NURBS曲线的所有控制点。通过调整新生成的NURBS曲线的控制顶点和权点，来改变原NURBS曲线控制点的位置，进而改变原NURBS曲线的形状。这种方法适用于NURBS曲线形状的细微变化，便于交互操作。 相似文献
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丁茹 《天津工程师范学院学报》2004,14(4):30-32
对NURBS(非均匀有理B样条)曲面的拟合算法和利用"权值"局部修改NURBS曲面的方法进行了研究,运用OpenGL技术实现了NURBS曲面的虚拟显示,通过血管的表面重建实验,验证了NURBS曲面拟合算法的正确性。 相似文献
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蒋莉 《佳木斯教育学院学报》2010,(5)
本文研究了有理Beizier曲线的逼近问题.用有理Bezier曲线来逼近控制多边形,其中权因子是可以调节的.通过调节权因子的大小使得得到的有理Bezier曲线一致逼近控制多边形.得到了一个关于权因子的最优化问题.通过该问题的求解,得到了权因子的计算公式. 相似文献
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本文介绍了线切割CAD/CAM系统的自由曲线生成方法.通过比较Bezier曲线、B样条曲线、非均匀有理B样条(NURBS)曲线等主要造型方法,选择了一种适合线切割CAD/CAM系统的简单、易用的几何造型方法,并阐述其算法. 相似文献
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建模是三维制作的基础.NURBS曲线建模是目前比较流行的建模方式,它能产生平滑连续的曲面,使用数学函数来定义曲线和曲面,可在不改变外形的前提下自由控制曲面的精细程度.本文结合具体实例,阐释NURBS建模技术的主要思路及其流程. 相似文献
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蒋莉 《衡阳师范学院学报》2011,32(6):10-12
研究了基于某种约束条件的有理Bezier曲线的形状修改,约束条件为曲线通过某个单点或多个点,或在端点处满足某种切矢条件。方法是修改控制点。目的是使得修改前后的曲线的控制点的改变量最小。给出了具体控制点的扰动的计算公式,且给出了具体实例。 相似文献
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为简化伸缩变形计算过程,针对代数曲线和参数曲线,提出一种具有区域峰值的伸缩因子曲线变形方法。首先基于 Hermite 插值基函数构造一种多项式伸缩函数,然后建立带有伸缩参数的伸缩因子,最后将伸缩因子作用于曲线,促使曲线沿指定方向产生变形。在变形过程中,通过改变伸缩因子中的形状控制参数,实现曲线整体、局部以及周期变形效果。大量数值实例证明,该方法计算量小,便于理解和操作,可获得适用于不同设计要求的旋转曲面和外形轮廓线。与其它方法相比,该方法不仅可用于参数型曲线,还可用于隐式表示的代数曲线,丰富了隐式曲线的变形效果。 相似文献
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NURBS曲线在CAD软件开发中被广泛应用.Rhino软件中的NURBS曲线,涉及到NURBS曲线的构成元素、属性、关键定义项目、缺陷和用NURBS曲线构建曲面,对于进行工业产品造型设计有着较强的现实意义. 相似文献
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We present a novel approach for dealing with optimal approximate merging of two adjacent Bezier curves with G2-continuity. Instead of moving the control points, we minimize the distance between the original curves and the merged curve by taking advantage of matrix representation of Bezier curve's discrete structure, where the approximation error is measured by L2-norm. We use geometric information about the curves to generate the merged curve, and the approximation error is smaller. We can obtain control points of the merged curve regardless of the degrees of the two original curves. We also discuss the merged curve with point constraints. Numerical examples are provided to demonstrate the effectiveness of our algorithms. 相似文献
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We present a novel approach for dealing with optimal approximate merging of two adjacent Bezier eurves with G^2-continuity. Instead of moving the control points, we minimize the distance between the original curves and the merged curve by taking advantage of matrix representation of Bezier curve＇s discrete structure, where the approximation error is measured by L2-norm. We use geometric information about the curves to generate the merged curve, and the approximation error is smaller. We can obtain control points of the merged curve regardless of the degrees of the two original curves. We also discuss the merged curve with point constraints. Numerical examples are provided to demonstrate the effectiveness of our algorithms. 相似文献
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基于图像的鞋帮面自动缝制系统采用DXF文件格式作为接口，首先根据NURBS曲线在DXF图形文件中的结构形式，提取有效的位置信息来构造NURBS曲线的参数方程，然后用一种实用的圆弧逼近方法将NURB曲线离散成圆弧，最后将圆弧偏置一定的值来生成缝针的缝制轨迹。 相似文献
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The representation method of heterogeneous material information is one of the key technologies of het-erogeneous object modeling, but almost all the existing methods cannot represent non-uniform rational B-spline (NURBS) entity. According to the characteristics of NURBS, a novel data structure, named NURBS material data structure, is proposed, in which the geometrical coordinates, weights and material coordinates of NURBS heterogeneous objects can be represented simultaneously. Based on this data structure, both direct representation method and inverse construction method of heterogeneous NURBS objects are introduced. In the direct representation method, three forms of NURBS heterogeneous objects are introduced by giving the geometry and material information of control points, among which the homogeneous coordinates form is employed for its brevity and easy programming. In the inverse construction method, continuous heterogeneous curves and surfaces can be obtained by interpolating discrete points and curves with specified material information. Some examples are given to show the effectiveness of the proposed methods. 相似文献
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Cubic algebraic hyperbolic （AH） Bezier curves and AH spline curves are defined with a positive parameter a in the space spanned by {1, t, sinht, cosht}. Modifying the value of a yields a family ofAH Bezier or spline curves with the family parameter α. For a fixed point on the original curve, it will move on a defined curve called ＂path of AH curve＂ （AH Bezier and AH spline curves） when a changes. We describe the geometric effects of the paths and give a method to specify a curve passing through a given point. 相似文献
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Curve and surface blending is an important operation in CAD systems, in which a non-uniform rational B-spline （NURBS） has been used as the de facto standard. In local comer blending, two curves intersecting at that comer are first made disjoint, and then the third blending curve is added-in to smoothly join the two curves with G^1- or G^2-continuity. In this paper we present a study to solve the joint problem based on curve extension. The following nice properties of this extension algorithm are exploited in depth： （1） The parameterization of the original shapes does not change; （2） No additional fragments are created. Various examples are presented to demonstrate that our solution is simple and efficient. 相似文献
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MO Guo-liang ZHAO Ya-nan 《浙江大学学报(A卷英文版)》2006,7(12):2043-2049
INTRODUCTION B-spline curves and surfaces have been widely used in Computer Graphics (CG) and Computer Aided Design (CAD) (Hoschek and Lasser, 1993; Piegl and Tiller, 1997). Many practical algorithms, such as those for position and derivatives evaluation, knot insertion, knot deletion and degree elevation, are usually implemented in a CAD system that uses B-spline as a shape design tool. In curve and surface design, a given B-spline curve or surface usually needs to be extended in … 相似文献