用opencvSharp实现在任意多边形内寻找最大的内接正交矩形
之前写过一篇在任意多边形内寻找近似最大的内接正交矩形,但不怎么符合工作要求,于是再认真看了看之前那篇文章,最后总算是搞出来了。
原图:
结果:
1.第一步还是先求出多边形的近似轮廓,减少轮廓数量,方便后面计算。
2.根据轮廓让点与下一个点之间形成一个矩形,然后让每个矩形都与当前所有矩形相交,求出相交的矩形,再把这些矩形所有的角放到一个集合里。
3.最后去除重复的点,再让这些点两两组合成一个矩形,判断是否为内部矩形,如果是就算出面积,找出最大内接矩形。
比如一共4个点,第1个与第2个形成矩形(矩形1),第1与第3(矩形2),第1与第4(矩形3),第2与第3(矩形4),第2与第4(矩形5),第3与第4(矩形6);
由于矩形1为第一个元素,没有相交矩形,所以直接放入allPoint中;
接着把矩形2的四个角,以及矩形2和矩形1相交矩形的四个角,放入allPoint中;
矩形3以此类推,其本身四个角,以及和矩形1相交矩形的四个角,以及和矩形2相交矩形的四个角,放入allPoint中。
以上就是所有步骤了,代码实现起来还是比较简单的,但是这个方法的原理理解起来就比较困难了,看了半天也看不到原理。
完整代码:
public Form1()
{
InitializeComponent();
Test();
}
private static void Test()
{
var src = Cv2.ImRead("C:\\Users\\Administrator\\Desktop\\test.png", ImreadModes.Color);
var dst = new Mat();
Cv2.CvtColor(src, dst, ColorConversionCodes.RGB2GRAY);
Cv2.FindContours(dst, out var contours, out var hierarchy, RetrievalModes.External,
ContourApproximationModes.ApproxSimple);
List<List<Point>> approxContours = new List<List<Point>>();
for (int i = 0; i < contours.Length; i++)
{
var approxContour = Cv2.ApproxPolyDP(contours[i], 20, true);
approxContours.Add(approxContour.ToList());
DrawContour(src, approxContour, Scalar.White, 1);
}
foreach (var contour in approxContours)
{
GetMaxInscribedRect(src, contour);
}
Cv2.ImShow("src", src);
}
private static Rect GetMaxInscribedRect(Mat src, List<Point> contour)
{
Rect maxInscribedRect = new Rect();
List<Rect> allRect = new List<Rect>();
List<Point> allPoint = new List<Point>(contour);
for (int i = 0; i < contour.Count; i++)
{
for (int j = i + 1; j < contour.Count; j++)
{
var p1 = contour[i];
var p2 = contour[j];
if (p1.Y == p2.Y || p1.X == p2.X)
continue;
var tempRect = FromTowPoint(p1, p2);
allPoint.AddRange(GetAllCorner(tempRect));
foreach (var rect in allRect)
{
var intersectR = tempRect.Intersect(rect);
if (intersectR != Rect.Empty)
allPoint.AddRange(GetAllCorner(intersectR));
}
allRect.Add(tempRect);
}
}
List<Point> distinctPoints = allPoint.Distinct().ToList();
for (int i = 0; i < distinctPoints.Count; i++)
{
for (int j = i + 1; j < distinctPoints.Count; j++)
{
var tempRect = FromTowPoint(distinctPoints[i], distinctPoints[j]);
if (!ContainPoints(contour, GetAllCorner(tempRect)) || ContainsAnyPt(tempRect, contour))
continue;
src.Rectangle(tempRect, Scalar.RandomColor(), 2);
if (tempRect.Width * tempRect.Height > maxInscribedRect.Width * maxInscribedRect.Height)
maxInscribedRect = tempRect;
}
}
src.Rectangle(maxInscribedRect, Scalar.Yellow, 2);
return maxInscribedRect == Rect.Empty ? Cv2.BoundingRect(contour) : maxInscribedRect;
}
public static Point[] GetAllCorner(Rect rect)
{
Point[] result = new Point[4];
result[0] = rect.Location;
result[1] = new Point(rect.X + rect.Width, rect.Y);
result[2] = rect.BottomRight;
result[3] = new Point(rect.X, rect.Y + rect.Height);
return result;
}
public static bool ContainPoint(List<Point> contour, Point p1)
{
return Cv2.PointPolygonTest(contour, p1, false) > 0;
}
public static bool ContainPoints(List<Point> contour, IEnumerable<Point> points)
{
foreach (var point in points)
{
if (Cv2.PointPolygonTest(contour, point, false) < 0)
return false;
}
return true;
}
private static void DrawContour(Mat mat, Point[] contour, Scalar color, int thickness)
{
for (int i = 0; i < contour.Length; i++)
{
if (i + 1 < contour.Length)
Cv2.Line(mat, contour[i], contour[i + 1], color, thickness);
}
}
private static bool ContainsAnyPt(Rect rect, IEnumerable<Point> points)
{
foreach (var point in points)
{
if (point.X > rect.X && point.X < rect.X + rect.Width && point.Y < rect.BottomRight.Y && point.Y > rect.Y)
return true;
}
return false;
}
public static Rect FromTowPoint(Point p1, Point p2)
{
if (p1.X == p2.X || p1.Y == p2.Y)
return Rect.Empty;
if (p1.X > p2.X && p1.Y < p2.Y)
{
(p1, p2) = (p2, p1);
}
else if (p1.X > p2.X && p1.Y > p2.Y)
{
(p1.X, p2.X) = (p2.X, p1.X);
}
else if (p1.X < p2.X && p1.Y < p2.Y)
{
(p1.Y, p2.Y) = (p2.Y, p1.Y);
}
return Rect.FromLTRB(p1.X, p2.Y, p2.X, p1.Y);
}
Original: https://blog.csdn.net/weixin_43950082/article/details/124452565
Author: 云季云
Title: 用opencvSharp实现在任意多边形内寻找最大的内接正交矩形
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