这个问题已经asked了,但我还是不明白。我通过从一组点调用cv::findHomography
来获得一个单应矩阵。我需要检查它是否相关。
所提出的方法是计算内点的最大重投影误差,并将其与阈值进行比较。但在这样的过滤之后,我不断得到疯狂的变换,对象边界框几乎变成了一条直线或一些奇怪的非凸四边形,具有自交点等。
可以使用什么约束来检查单应矩阵本身是否足够?
发布于 2017-01-24 20:27:31
编辑:这个答案与问题无关,但对于像我一样试图使用匹配结果进行识别的人来说,讨论可能会有所帮助!
这可能对某些人有帮助:
Point2f[] objCorners = { new Point2f(0, 0),
new Point2f(img1.Cols, 0),
new Point2f(img1.Cols, img1.Rows),
new Point2f(0, img1.Rows) };
Point2d[] sceneCorners = MyPerspectiveTransform3(objCorners, homography);
double marginH = img2.Width * 0.1d;
double marginV = img2.Height * 0.1d;
bool homographyOK = isInside(-marginH, -marginV, img2.Width + marginH, img2.Height + marginV, sceneCorners);
if (homographyOK)
for (int i = 1; i < sceneCorners.Length; i++)
if (sceneCorners[i - 1].DistanceTo(sceneCorners[i]) < 1)
{
homographyOK = false;
break;
}
if (homographyOK)
homographyOK = isConvex(sceneCorners);
if (homographyOK)
homographyOK = minAngleCheck(sceneCorners, 20d);
private static bool isInside(dynamic minX, dynamic minY, dynamic maxX, dynamic maxY, dynamic coors)
{
foreach (var c in coors)
if ((c.X < minX) || (c.Y < minY) || (c.X > maxX) || (c.Y > maxY))
return false;
return true;
}
private static bool isLeft(dynamic a, dynamic b, dynamic c)
{
return ((b.X - a.X) * (c.Y - a.Y) - (b.Y - a.Y) * (c.X - a.X)) > 0;
}
private static bool isConvex<T>(IEnumerable<T> points)
{
var lst = points.ToList();
if (lst.Count > 2)
{
bool left = isLeft(lst[0], lst[1], lst[2]);
lst.Add(lst.First());
for (int i = 3; i < lst.Count; i++)
if (isLeft(lst[i - 2], lst[i - 1], lst[i]) != left)
return false;
return true;
}
else
return false;
}
private static bool minAngleCheck<T>(IEnumerable<T> points, double angle_InDegrees)
{
//20d * Math.PI / 180d
var lst = points.ToList();
if (lst.Count > 2)
{
lst.Add(lst.First());
for (int i = 2; i < lst.Count; i++)
{
double a1 = angleInDegrees(lst[i - 2], lst[i-1]);
double a2 = angleInDegrees(lst[i], lst[i - 1]);
double d = Math.Abs(a1 - a2) % 180d;
if ((d < angle_InDegrees) || ((180d - d) < angle_InDegrees))
return false;
}
return true;
}
else
return false;
}
private static double angleInDegrees(dynamic v1, dynamic v2)
{
return (radianToDegree(Math.Atan2(v1.Y - v2.Y, v1.X - v2.X))) % 360d;
}
private static double radianToDegree(double radian)
{
var degree = radian * (180d / Math.PI);
if (degree < 0d)
degree = 360d + degree;
return degree;
}
static Point2d[] MyPerspectiveTransform3(Point2f[] yourData, Mat transformationMatrix)
{
Point2f[] ret = Cv2.PerspectiveTransform(yourData, transformationMatrix);
return ret.Select(point2fToPoint2d).ToArray();
}
https://stackoverflow.com/questions/14954220
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