这篇文章主要介绍多段线实现布尔运算的方法
先上代码
function getOperatedCurves(sourceCurs: Curve[], targetCus: Curve[])
{
let source: Polyline | Circle = (sourceCurs[0] instanceof Circle) ? sourceCurs[0] as Circle : new Polyline().Combine(sourceCurs)[0];
let target: Polyline | Circle = (targetCus[0] instanceof Circle) ? targetCus[0] as Circle : new Polyline().Combine(targetCus)[0];
try
{
if (!source.IsClose || !target.IsClose) throw new Error("不是封闭曲线");
}
catch (err)
{
console.log(err);
}
let interPts = source.IntersectWith(target, IntersectOption.OnBothOperands);
let sourceContainerTarget = isTargetCurInSourceCur(source, target);
let targetContainerSource = isTargetCurInSourceCur(target, source);
let isContainer = sourceContainerTarget || targetContainerSource;
let intersectionList: Curve[] = []; //交集
let unionList: Curve[] = []; //并集
let subList: Curve[] = []; //补集
/*
*两封闭区域有交点并且不是包含关系,则通过交点把区域分割
*/
if (interPts.length && !isContainer)
{
let pars1 = interPts.map(p => source.GetParamAtPoint(p)).sort((a, b) => a - b);
let pars2 = interPts.map(p => target.GetParamAtPoint(p)).sort((a, b) => a - b);
let cus1: Array<Polyline | Arc> = source.GetSplitCurves(pars1);
cus1.forEach(pl =>
{
if (isTargetCurInSourceCur(target, pl))
{
intersectionList.push(pl);
}
else
{
subList.push(pl);
unionList.push(pl);
}
})
let cus2: Array<Polyline | Arc> = target.GetSplitCurves(pars2);
cus2.forEach(pl =>
{
if (isTargetCurInSourceCur(source, pl))
{
intersectionList.push(pl);
subList.push(pl);
}
else
{
unionList.push(pl);
}
})
}
else
{
if (isContainer)
{
if (sourceContainerTarget)
{
intersectionList.push(target);
subList.push(source, target);
unionList.push(source);
}
else
{
unionList.push(target);
intersectionList.push(source);
}
}
else
{
unionList.push(source, target)
subList.push(source);
}
}
return {
intersectionList, unionList, subList
}
}
由于一些曲线类实现方法不一,这里主要说一些实现布尔运算的思路
- 判断2封闭曲线是否是被包含的关系
- 获取2封闭曲线的所有交点,这里交点可能是圆和线,线和线,圆和圆的,求交点的方法网上应该很多,以后有时间也会写写用JavaScript实现方式
- 根据所有的交点把2封闭曲线分割为多个部分
- 对分割后的线段进行整理,其中相交部分是曲线在对方曲线内部的部分,合并是互不在对方曲线内部的部分,相减类似不想说了,具体看代码,如果是被包含状态则更加就简单了