交线

用辅助直线法求解平面与立体的截交线

The Auxiliary-Line Method for Finding the Intersecting Line of a Plane and a Solid

把图形参数的选取与计算方法引入曲面交线的处理之中。

The selection of graphic parameter and calculating method are conducted into intersecting line processing of curved surfaces .

断煤交线位置的计算及BASIC源程序

Calculation and basic program of fault-coal line position

在AutoCAD中实现二次曲面交线的参数化绘制

Parameterized Drawing of quadric intersection in AutoCAD

STL模型布尔运算交线链和交线环提取算法

Forming intersection chains and loops in Boolean operation of STL models

基于控制顶点的Bezier曲面交线算法

The intersection of Bezier surfaces based on the control vertexes

对于切片操作产生的离散交点序列，用Lifting小波变换将其处理为具有嵌套层次结构的多分辨率曲线，即为交线的轮廓。

The resulting intersection point sequences can be transformed into multiresolution curves by the Lifting scheme , which can built the second-generation wavelets .

q1和q2曲面的交线定义了一条曲线。

The intersection of the q1-and the q2 surfaces , defines a curve .

我们想知道，这个面跟xy平面的交线。

We might want to also figure out where the surface intersects the x , y plane .

这些周期轨与R-不变平面Fix（R）的交线是一些螺线段，而2-同宿轨线则对应于这些螺线段的一个或者两个端点。

The intersections of those 2-periodic orbits with Fix ( R ) are spiral segments , while one or two ends of them are the intersections of 2-homoclinic orbits with Fix ( R ) .

测试显示这种交线计算方法简单可靠，精度高，在自由曲面数控加工编程中具有广泛的应用场合，对提高汽车等领域的自由曲面NC加工精度具有重要的工程价值。

Experiments show that the method is simple , reliable , precise and applicable in NC automatic programming . It is significant in improving the precision of NC machining for free surface of motor vehicles .

首先构造G1连续的组合Coons曲面，其次求该组合曲面片与已知曲面的交线。

Firstly construct a G 1-continuous composite Coons surface patch , then compute the intersection of the surface patch and the given surface .

由初始交点出发，利用三角Bezier曲面片间的拓扑关系，采用连续跟踪的算法计算复合三角Bezier曲面与平面的交线；

Starting from initial intersection points , using the topology among triangular Bezier patches , the intersection curves between composite triangular Bezier surface and plane can be traced continuously .

笔者运用VBA技术在AutoCAD下进行二次曲面交线的开发，提出了具体的开发理论和实现方法，建立了相应的数学模型，实现了参数化智能给图的功能。

This article uses VBA technologies to realize the drawing of the quadric intersection in AutoCAD , puts forward the concrete theory for exploiting , sets up corresponding math models , and puts intellective parameterized drawing into use .

本文给出了R3中曲面的法曲率的欧拉公式的简单证明。并得到一个关于曲面交线曲率及曲面测地曲率的类似的欧拉公式。

In this paper , we give simplified proofs of the Euler formula for normal curvatures of surfaces of R3 . We derive an analogue of Euler formula for geodesic curvatures of surfaces .

通过对回转抛物面与圆柱面相交的研究，得出交线的水平投影曲线为四次代数曲线Perseus座曲线的结论。

Through studying the intersection of paraboloid of revolution and cylinder , the author concluded that the horizontal projection of the intersecting lines & , is the famous Four-order algebra curve-Perseus curve .

对基于新LOM方法的STL数据模型分层处理进行了深入分析和研究：全面正确的分析了STL数据模型中三角形面片与分层平面的位置关系，并规定了交线的起点和终点；

The slicing process of STL data model based on new LOM is studied in this paper : the position relation between triangle facets and slicing plane is discussed in detail ; the start and end points of the intersection line segments are regulated ;

它们注视着Tatooine在自身的轨道上缓缓前进，黑夜与白昼的交线扫过大地，将身后的一切留给黄昏或黎明。

They watched as Tatooine marching slowly along its orbit , as the single line where white days and black nights meet swept across the planet 's surface , leaving all behind to dwell in eve or dawn .

用仿射变换求椭圆锥与平面的截交线

Computing Intersection of a Plane and Elliptical Cone Using Affine Conversion

求解二次曲面交线的平面分支的一种简洁方法

A Brief Method for Solving Planar Components of Quadric Interfaces Intersections

对截交线相贯线定义的探讨

Discussion on the Definitions of Lines of section and of Intersection

求两单曲面偏交交线的作图

Drawing for the Line of Intersection of Two Biasing Single Cambers

共母线直纹曲面投影交线的计算与特征分析

Calculation on Projection Ine of Ruled Surfaces and Analysis on Curves Features

双曲回转面截交线性质探讨

Property of truncated intersector curve of bilateral curved rotation surface

斜圆锥体交线的展开计算

The Computation of the Unfolded Picture of Intersection of Two Inclined Tapers

关于具有公共对称平面的二次回转曲面交线的投影分析

Analyzing projection about Intersecting Line of Second Camber Having Common Symmetrical Surface

截交线是一条封闭的平面图形。

Segments of the intersection line also form a closed plane area .

表面交线；圆弧直线法；模糊图示法；

Surface intersecting line ; Arc straight-line method ; Blurred diagrammatic representation ;

还研究了数据交换，交线结果的组织等技术，使得数据能够顺利的输入输出。

Data exchanging and the interpolation of intersection points are researched too .

类似形在截交线教学中的应用

Application of Analogous Pattern in Teaching Intersecting Lines of Sections