布尔运算

The characteristics of several algorithms of automatic support generation and an algorithm of automatic support generation of FDM based on polygon Boolean operation have been presented.

简述了几种FDM支撑自动生成算法的特点，提出了一种基于多边形布尔运算的FDM支撑生成算法，并构建了一种密集与疏松相复合的支撑路径规划方法。

Chapter 7 discusses a orientational classification principle of curve and surface. With this principle, we have accomplished the frame automate generation and a boolean operation between surfaces.

第七章描述了一个曲线、曲面的有向性分类原则，在ZD_ADM曲面造型系统中，运用此有向性分类原则，实现了二维轮廓线的自动生成和曲面间的布尔运算。

In chapter 4, an optimization Boolean operator of triangular mesh and the algorithm of adding point-swapping edge locally are put forward. With boundary traced by adding midpoint, the triangulation of 2D arbitrary domain is realized. The fast searching method which combines the index rectangle with compass based normal vector is designed to speed the triangulation algorithm.

第四章提出了一种优化的三角网格布尔运算和逐点加入—局部换边法，用中点加点法恢复边界，实现了二维任意域Delaunay三角化算法，用索引矩形和基于法矢的指南针法相结合的快速查询法有效地提高了三角化算法的速度，给出了二维任意域三角网格剖分的实例。

In chapter 6 and 7, having discussed the description method of the shape of bube-bent part and it's CSG data structure, a 3-D shape description method of using boolean operation by cyclinder and torus primitives is proposed.

第六章和第七章分别探讨了管材弯曲件三维描述方法及其CSG数据结构，提出了采用圆柱体素与圆环体素，通过适当布尔运算来描述其三维形状，并实施区间CSG扫描线和光线跟踪算法，在微机上实现了管材弯曲件三维浓淡图形的生成。

This paper proposed a novel Boolean operations algorithm for point-sampled models based on implicit function transformation.

提出一种基于点取样模型的布尔运算算法。

Firstly, the stope vacancy was monitored using CMS, taking cavity measured data as foundation, cavity three-dimensional model of the stope opening was created using Surpac software and gain the stope three-dimensional configuration and the actual boundary accurately. Then, the stope designed model and ore-rock interface digital terrain model were established according to the stope design material. Finally, using ore-rock interface DTM to cut cavity model or through Boolean calculation among the models, ore remains, mining total volume, mullock, backfilling, pure ore and dilution rate of stope N3-4 were calculated accurately, thus the large-scale stope mining index visible calculation was realized effectively.

采用CMS探测三维采场空区，以空区实测数据为基础运用Surpac构建采空区三维可视化模型，获取采场空区的三维形态和实际边界；运用采场设计资料，建立采场回采设计模型及矿岩边界模型，通过模型间的布尔运算，计算出采场存留矿量、回采总体积、采下废石量、采下充填体量、采下纯矿石量、回采总量及回采贫化率等，从而有效地实现了大规模采场回采指标的可视化计算。

To validate this method, we have implemented the algorithm on KerenCAD platform, and tested on kinds of complex and singular instances successfully, the result shows it is robust.

为了验证本文的方法，在计算机辅助设计平台KerenCAD上实现了此算法，并成功地完成了一些常用考题的布尔运算，结果表明了算法有较好的健壮性。

Proposing the concrete solutions as to the essential technology of the modeling process in three dimensional coordinates transformation of cross section,triangle grid production and Boolean operations between the laneway entities.

针对建模过程中存在的巷道断面的三维坐标转换、三角网格的生成、巷道体之间的布尔运算等关键技术，提出了具体的解决方法，并给出了最终的实验结果，实验验证了此三维建模方法的可行性。

Complicated geological structure ; TIN technology ; Digital terrain model; Wire frame model ; Boolean operation

复杂地质构造； TIN技术；数字表面模型；线框模型；布尔运算

Then simulate the operation, beginning with the corneal flap cutting, and succedent ablation, recovery of flap.

在手术模拟之前首先需要建立眼球角膜的完整实体模型，以便利用布尔运算、实体修改等操作。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。