什么是找到重叠的两个区域的总面积的有效算法

问题描述

我的情况



输入：一组矩形

每个矩形由4个双打组成这个：（x0，y0，w，h）

它们不会在任何角度旋转，它们都是正常的矩形，向上/向下和向左/向右对屏幕的尊重

它们是随机放置的 - 它们可能在边缘接触，重叠，或者没有任何接触

我将有几百个矩形

这是用C实现的



我需要找



区域A和B的联合如果重叠



示例



下面的图片包含两个矩形：A，B

A和B重叠

我要找的是两个地区的总面积

<峰; br /> 
 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA<峰; br /> 
 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA<峰; br /> 
 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA<峰; br / > 
 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA<峰; br /> 
 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA<峰; br /> 
 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA<峰; br /> 
 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA<峰; br /> 
 AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB<峰; br /> 
 AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB<峰; br /> 
 AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB<峰; br /> 
 AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB<峰; br /> 
 AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB<峰; br /> 
将峰; br /> 

解决方案

My situation

Input: a set of rectangles
each rect is comprised of 4 doubles like this: (x0,y0,w,h)
they are not "rotated" at any angle, all they are "normal" rectangles that go "up/down" and "left/right" with respect to the screen
they are randomly placed - they may be touching at the edges, overlapping , or not have any contact
I will have several hundred rectangles
this is implemented in C

I need to find

union of area A and B if overlapped

Example

The image below contains two rectangles: A,B
A and B overlap
What I am looking for is the total area of two region

<br />
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA <br />
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA <br />
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA <br />
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA <br />
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA <br />
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA <br />
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA <br />
AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB<br />
AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB <br />
AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB <br />
AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB <br />
AAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBB<br />
                             <br />

解决方案

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