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特征多边形的
相关语句
  characteristic polygon
    On convexity of Bézier curves with given characteristic polygon
    给定特征多边形的Bézier曲线的凸性研究
短句来源
    In addition, a simple and ideal way of sampling on cubic open uniform B_spline type curve is given: 3( n -1) equidistant sample points are taken from a parameter interval ( n is the number of vertex of a B_spline curve characteristic polygon).
    针对 3次准均匀B样条曲线 ,找到一个效果理想、操作简单的取样方案 :在参数区间上等距取 3(n - 1)个样本点 (n为B样条曲线特征多边形的顶点数 ) .
短句来源
    Through the definition for global convexity and local convexity of parameter curves,this paper studies the relations between convexity of Bézier curve and its characteristic polygon,and produces a theorem on the global convexity and another on local convexity of Bézier curves.
    通过参数曲线全局凸和局部凸的定义,研究了Bézier曲线的凸性与其特征多边形的关系,并给出了Bézier曲线的全局凸性和局部凸性定理。
短句来源
    This paper presents the concept of Generalized force for geometric modeling. Similar curves are defined and relative corollaries are proved. Given is a method by which we can compound a characteristic polygon of a child.
    提出了用于几何造型的广义力的概念,定义了相似曲线并证明了有关推论.给出了合成子特征多边形的方法.这个特征多边形依赖于广义力,并且是由其双亲特征多边形调合得到的
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A multiple-knot method,which is based upon the nonuniform B-Spli-ne,is adoqted in this paper to design and fit the complex combined curves,we have solved the problam of reducing the order in a linear equation set for varieties of multiple knots in calculating inversely the vertices of a characteristic polygon,and have obtained a unified expres-sion.The program provided in this paper is flexible and convenient for fitting,designing and modifying the complex combined curves quickly in every possible case.This...

A multiple-knot method,which is based upon the nonuniform B-Spli-ne,is adoqted in this paper to design and fit the complex combined curves,we have solved the problam of reducing the order in a linear equation set for varieties of multiple knots in calculating inversely the vertices of a characteristic polygon,and have obtained a unified expres-sion.The program provided in this paper is flexible and convenient for fitting,designing and modifying the complex combined curves quickly in every possible case.This method can offer a more universal tool for using B-Spline in computer-aided geometric design and drawing.

本文在非均匀B样条的基础上,采用重节点方法设计和拟合复杂组合曲线。对于各种不同的重节点情况,解决了反求特征多边形顶点时线性方程组的降秩问题,并建立了统一表达式。由于考虑到使用中可能遇到的各种情况,程序通用性强,使用方便,能快速地拟合、设计、修改复杂组合曲线,为计算机辅助几何设计与绘图中应用B样条提供了一种具有较大灵活性的方法。

A multiple-knot method based on a non-uniform B-spline is adopted to design and fit complex combined curves.We have solved the problem of reducing the order in a linear equation set for varieties of multiple knots in inverse calculation for the vertices of a characteristic polygon and obtained an unified expression.The program provided in this paper is flexible and convenient for fitting,designing and modifying complex combined curves quickly in every possible case.This method can offer a more universal tool...

A multiple-knot method based on a non-uniform B-spline is adopted to design and fit complex combined curves.We have solved the problem of reducing the order in a linear equation set for varieties of multiple knots in inverse calculation for the vertices of a characteristic polygon and obtained an unified expression.The program provided in this paper is flexible and convenient for fitting,designing and modifying complex combined curves quickly in every possible case.This method can offer a more universal tool for using the B-spline in computer-aided geometric design and drawing.

本文在非均匀B样条的基础上,采用重节点方法设计和拟合复杂组合曲线。对于各种不同的重节点情况,解决了反求特征多边形顶点时线性方程组的降秩问题,并建立了统一表达式。由于考虑到使用中可能遇到的各种情况,程序通用性强,使用方便,能快速地拟合、设计、修改复杂组合曲线,为计算机辅助几何设计与绘图中应用B样条提供了一种具有较大灵活性的方法。

In this paper,the authors have derived the vectorial equations for Modified Ferguson Curve and Modified Ferguson Surface(MFC/MFS) in three dimensions and verified several properties of MFCThree results are given and calculated by using methods of Bezier,B-spline and MFC.There is a brief introduction of test-use about Modified Ferguson Polynomial to be used in a Flexible Dynamically Tested System controlled by MIC-80 microcomputer-system.Finally,the paper shows outlines of vase and cup produced by Apple II microcomputer...

In this paper,the authors have derived the vectorial equations for Modified Ferguson Curve and Modified Ferguson Surface(MFC/MFS) in three dimensions and verified several properties of MFCThree results are given and calculated by using methods of Bezier,B-spline and MFC.There is a brief introduction of test-use about Modified Ferguson Polynomial to be used in a Flexible Dynamically Tested System controlled by MIC-80 microcomputer-system.Finally,the paper shows outlines of vase and cup produced by Apple II microcomputer system and the projecting,perspective views of pilotless aircraft designed by IBM PC/XT microcomputer system.The authors have introducd flowchart of ADSS (Aircraft Display Software System) software package and the flowchart of interactive design of wing.

本文推导了三维空间改进型Ferguson曲线曲面参数矢量方程,证明了这种曲线的几个有用的几何性质。 文中给出了同一特征多边形,利用Bézier,三次均匀B样条和改进型Ferguson曲线三种方法的计算结果。 简要介络了改进型Ferguson多项式函数在MIC-80微机控制动态试验系统中的试用情况。 最后,提供了利用MFC/MFS曲线曲面系统在紫金Ⅱ微机系统上所设计的花瓶和杯子的轴测图,及利用ADSS软件包在IBM PC/XT微机系统上设计和无人驾驶飞机的各种透视图及三面图,並介绍了ADSS软件包的使用框图及机翼的人-机交互设计框图。

 
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