一种膨胀/收缩(偏移、缓冲)多边形的算法 [英] An algorithm for inflating/deflating (offsetting, buffering) polygons

问题描述

我将如何充气"?多边形?也就是说，我想做类似这样的事情:

How would I "inflate" a polygon? That is, I want to do something similar to this:

要求新的(膨胀的)多边形的边/点都与旧的(原始)多边形的距离相同(在示例图片上它们不是，因为那样它就必须使用弧来表示膨胀的顶点，但让我们暂时忘记这一点;)).

The requirement is that the new (inflated) polygon's edges/points are all at the same constant distance from the old (original) polygon's (on the example picture they are not, since then it would have to use arcs for inflated vertices, but let's forget about that for now ;) ).

我正在寻找的数学术语实际上是向内/向外多边形偏移.+1 balint 指出这一点.替代命名是多边形缓冲.

The mathematical term for what I'm looking for is actually inward/outward polygon offseting. +1 to balint for pointing this out. The alternative naming is polygon buffering.

我的搜索结果:

这里有一些链接:

• 多边形偏移策略调查
• 多边形偏移，问题
• 缓冲多边形数据

推荐答案

我想我可以简单提一下我自己的多边形裁剪和偏移库 - Clipper.

I thought I might briefly mention my own polygon clipping and offsetting library - Clipper.

虽然 Clipper 主要用于多边形裁剪操作，但它也可以进行多边形偏移.该库是用 Delphi、C++ 和 C# 编写的开源免费软件.它有一个非常不受阻碍的 Boost 许可证，允许它免费用于免费软件和商业应用程序.

While Clipper is primarily designed for polygon clipping operations, it does polygon offsetting too. The library is open source freeware written in Delp C++ and C#. It has a very unencumbered Boost license allowing it to be used in both freeware and commercial applications without charge.

多边形偏移可以使用三种偏移样式之一 - 方形、圆形和斜接.

Polygon offsetting can be performed using one of three offset styles - squared, round and mitered.

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