您的位置:首页 > 其它

判断2D平面内某点是否在某个旋转的矩形(OBB)内的算法

2014-07-08 17:58 417 查看
http://stackoverflow.com/questions/7328424/point-in-obb-oriented-bounding-box-algorithm

Given a center point, width, height and angle forming an OBB, how can I find if a given point P is inside the OBB?

I take it that the wrinkle in your problem is that the bounding box can be rotated? If so, the easiest solution to me seems to be to do all calculations in the rotated coordinate plane, centered on the center of the bounding box.

To calculate the coordinates of the point relative to these axes:

newy = sin(angle) * (oldy - centery) + cos(angle) * (oldx - centerx);
newx = cos(angle) * (oldx - centerx) - sin(angle) * (oldy - centery);

(you may need to adjust this depending on how angle is supposed to be measured, I'll leave that to you, since you didn't specify)

Then hit test, the normal way:

return (newy > centery - height / 2) && (newy < centery + height / 2)
&& (newx > centerx - width / 2) && (newx < centerx + width / 2);
内容来自用户分享和网络整理,不保证内容的准确性,如有侵权内容,可联系管理员处理 点击这里给我发消息
标签: