三维空间求三角形的外心

转载自https://blog.csdn.net/w565066157/article/details/80847227

需要利用OSG的库

osg::Vec3 firstPoint = points->at(0);
osg::Vec3 secondPoint = points->at(1);
osg::Vec3 thirdPoint = points->at(2);

osg::Vec3 ac = thirdPoint - firstPoint;
osg::Vec3 ab = secondPoint - firstPoint;

// 判断是否三点共线
osg::Vec3 ac2 = thirdPoint - firstPoint;
osg::Vec3 ab2 = secondPoint - firstPoint;
ac2.normalize();
ab2.normalize();
if (ac2 == ab2)
{
    return false;
}

osg::Vec3 abXac = ab ^ ac;

osg::Vec3 abXacXab = abXac ^ ab;
osg::Vec3 acXabXac = ac ^ abXac;

osg::Vec3 toCircumsphereCenter = (abXacXab * ac.length2() + acXabXac * ab.length2()) / (2.f * abXac.length2());
float circumsphereRadius = toCircumsphereCenter.length();
osg::Vec3 CircumsphereCenter = firstPoint + toCircumsphereCenter;
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作者：书灵伯爵 
来源：CSDN 
原文：https://blog.csdn.net/w565066157/article/details/80847227 
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