August 2017
Intermediate to advanced
360 pages
8h 35m
Chinese
Content preview from 算法技术手册（原书第2 版）
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计算几何
｜
235
计算几何
表
9
-
1
：计算几何问题及其应用（续）
计算几何问题 现实世界的应用
计算一个多边形是否为简单多边形 科学家给濒危物种带上能够报告位置的无线发射
（
例如
，
两条不连续的边不能有公 器
，
希望能够发现动物频繁活动的区域
共顶点
）
计算包含点集的最小圆
。
计算一个点 统计学家使用不同的技术来分析数据
，
例如可以
集内部不包含特定点的最大圆 使用闭合的圆来聚类
，
以发现异常或者缺失的数
据
寻找线段
、
圆
、
矩形以及任意多边形 在超大规模集成电路
（
VLSI
）
中检查设计缺陷
集合的交点集合
9.1.3 任务的本质
静态任务只需对特定的数据集按需给出答案。但是，结合一些处理动态数据的思想，我
们可以改变解决问题的方法：
•
如果多个
任务
将要处理同一批数据，那么对数据进行预处理可以改善后续计算的性
能。
•
如果输入数据集发生变化，那么需要选择能够很好应对数据插入和删除的数据结构。
而动态任务要求数据结构能够应对输入的变化。固定长度的数组也许适用于静态的任务，
但是对于动态任务就显得力不从心，因此一般会使用链表或者栈来应对动态数据。
9.1.4 合理假设
对于大多数计算几何问题来说，分析输入（或者任务）相关的假设和恒量有助于找到一
个有效的解决方案。例如：
•
给定一个线段集，存在垂直或者水平线段吗？
•
给定一个点集，是否存在三点共线的情况？如果不存在，那么认为这些点处于一般
位置，算法在这种情况下就不需要考虑共线这样的情况。
•
输入的点是否均匀分布？还是这些点在某种形式上聚合成簇，从而可能会导致某些 ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.