有时需要获取直线与各种图形的交点，包括多边形和各种Qt图形框。
例如上图中，要想使连接线始终在多边形的边上，且能指向多边形中心，那么我们就要获取连线AB与多边形的交点。
1.多边形(QGraphicsPolygonItem)与直线(QLineF)的交点
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | //已知点和多边形//A、B点可通过多边形的boundingRect().width()/2获取;QPointF A;QPointF B;QGraphicsPolygonItem yellowItem; QLineF lineAB(A,B); //AB连线QPointF arrowPoint; //设置交点QPolygonF yellowtPolygon = yellowItem->polygon();QPointF p1 = yellowtPolygon.first() + yellowItem->pos();//遍历各边连线for (int i = 1; i < yellowtPolygon.count(); ++i) { QPointF p2 = yellowtPolygon.at(i) + yellowItem->pos();QLineF polyLine = QLineF(p1, p2); //核心：判断是否相交 QLineF::IntersectType intersectType = polyLine.intersect(lineAB, &arrowPoint); if (intersectType == QLineF::BoundedIntersection) break;p1 = p2;} //arrowPoint 即为交点 |
从上面代码可以看到，一个多边形和直线的交点的实现，就是遍历直线与所有边的联系，推而广之，所有Qt的图形化组件，比如QPushButton，QQGraphicsTextItem等，只要有边界的图形化组件都能获取其与直线的交点。即遍历所有边与直线的交点即可。
2.Qt图形组件与直线(QLineF)的交点
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 | QPointF A;QPointF B;QLineF lineAB(A,B); //AB连线Q普通组件 m_CommentItem; qreal commentWidth = m_CommentItem->boundingRect().width();qreal commentHeight = m_CommentItem->boundingRect().height(); QPointF intersectPoint;//四个边-四条线QLineF line1(0,0,commentWidth,0);QLineF line2(0,0,0,commentHeight);QLineF line3(commentWidth,0,commentWidth,commentHeight);QLineF line4(0,commentHeight,commentWidth,commentHeight);QList<QLineF> lineList;lineList.append(line1);lineList.append(line2);lineList.append(line3);lineList.append(line4); //遍历四条线foreach(QLineF oneline,lineList){QLineF::IntersectType intersectType = oneline.intersect(lineAB, &intersectPoint); if (intersectType == QLineF::BoundedIntersection) break;} //intersectPoint 即为交点 |
3.可参考例子：
Qt Examples and Demos -> Graphics View ->Diagram Scene
Qt获取多边形(QGraphicsPolygonItem)或Qt图形组件与直线(QLineF)的交点 - 推酷,布布扣,bubuko.com
Qt获取多边形(QGraphicsPolygonItem)或Qt图形组件与直线(QLineF)的交点 - 推酷
原文：http://www.cnblogs.com/superit/p/3831808.html