带掩码的 OpenCV 阈值

Question

我正在尝试使用 OpenCV 的 cv::threshold 函数（更具体 THRESH_OTSU），只是我想用遮罩（任何形状）来做，所以外面 (背景）在计算过程中被忽略。

图像是单通道的（这是必须的），下面的红色仅用于标记图像上的示例多边形。

我尝试使用 adaptiveThreshold，但有几个问题使它不适合我的情况。

Answer 1

一般来说，您可以使用 cv::threshold 简单地计算阈值，然后使用反转的 mask.[=26= 将 src 图像复制到 dst 上]

// Apply cv::threshold on all image
thresh = cv::threshold(src, dst, thresh, maxval, type);

// Copy original image on inverted mask
src.copyTo(dst, ~mask);

然而，对于 THRESH_OTSU，您还需要仅在蒙版图像上计算阈值。以下代码是thresh.cpp中static double getThreshVal_Otsu_8u(const Mat& _src)的修改版本：

double otsu_8u_with_mask(const Mat1b src, const Mat1b& mask)
{
    const int N = 256;
    int M = 0;
    int i, j, h[N] = { 0 };
    for (i = 0; i < src.rows; i++)
    {
        const uchar* psrc = src.ptr(i);
        const uchar* pmask = mask.ptr(i);
        for (j = 0; j < src.cols; j++)
        {
            if (pmask[j])
            {
                h[psrc[j]]++;
                ++M;
            }
        }
    }

    double mu = 0, scale = 1. / (M);
    for (i = 0; i < N; i++)
        mu += i*(double)h[i];

    mu *= scale;
    double mu1 = 0, q1 = 0;
    double max_sigma = 0, max_val = 0;

    for (i = 0; i < N; i++)
    {
        double p_i, q2, mu2, sigma;

        p_i = h[i] * scale;
        mu1 *= q1;
        q1 += p_i;
        q2 = 1. - q1;

        if (std::min(q1, q2) < FLT_EPSILON || std::max(q1, q2) > 1. - FLT_EPSILON)
            continue;

        mu1 = (mu1 + i*p_i) / q1;
        mu2 = (mu - q1*mu1) / q2;
        sigma = q1*q2*(mu1 - mu2)*(mu1 - mu2);
        if (sigma > max_sigma)
        {
            max_sigma = sigma;
            max_val = i;
        }
    }
    return max_val;
}

然后您可以将所有内容包装在一个函数中，这里称为 threshold_with_mask，它会为您包装所有不同的情况。如果没有遮罩，或者遮罩是全白的，那么使用cv::threshold。否则，请使用上述方法之一。请注意，此包装器仅适用于 CV_8UC1 图像（为简单起见，如果需要，您可以轻松扩展它以使用其他类型），并接受所有 THRESH_XXX 组合作为原始 cv::threshold。

double threshold_with_mask(Mat1b& src, Mat1b& dst, double thresh, double maxval, int type, const Mat1b& mask = Mat1b())
{
    if (mask.empty() || (mask.rows == src.rows && mask.cols == src.cols && countNonZero(mask) == src.rows * src.cols))
    {
        // If empty mask, or all-white mask, use cv::threshold
        thresh = cv::threshold(src, dst, thresh, maxval, type);
    }
    else
    {
        // Use mask
        bool use_otsu = (type & THRESH_OTSU) != 0;
        if (use_otsu)
        {
            // If OTSU, get thresh value on mask only
            thresh = otsu_8u_with_mask(src, mask);
            // Remove THRESH_OTSU from type
            type &= THRESH_MASK;
        }

        // Apply cv::threshold on all image
        thresh = cv::threshold(src, dst, thresh, maxval, type);

        // Copy original image on inverted mask
        src.copyTo(dst, ~mask);
    }
    return thresh;
}

完整代码供参考：

#include <opencv2/opencv.hpp>
#include <iostream>
using namespace std;
using namespace cv;

// Modified from thresh.cpp
// static double getThreshVal_Otsu_8u(const Mat& _src)

double otsu_8u_with_mask(const Mat1b src, const Mat1b& mask)
{
    const int N = 256;
    int M = 0;
    int i, j, h[N] = { 0 };
    for (i = 0; i < src.rows; i++)
    {
        const uchar* psrc = src.ptr(i);
        const uchar* pmask = mask.ptr(i);
        for (j = 0; j < src.cols; j++)
        {
            if (pmask[j])
            {
                h[psrc[j]]++;
                ++M;
            }
        }
    }

    double mu = 0, scale = 1. / (M);
    for (i = 0; i < N; i++)
        mu += i*(double)h[i];

    mu *= scale;
    double mu1 = 0, q1 = 0;
    double max_sigma = 0, max_val = 0;

    for (i = 0; i < N; i++)
    {
        double p_i, q2, mu2, sigma;

        p_i = h[i] * scale;
        mu1 *= q1;
        q1 += p_i;
        q2 = 1. - q1;

        if (std::min(q1, q2) < FLT_EPSILON || std::max(q1, q2) > 1. - FLT_EPSILON)
            continue;

        mu1 = (mu1 + i*p_i) / q1;
        mu2 = (mu - q1*mu1) / q2;
        sigma = q1*q2*(mu1 - mu2)*(mu1 - mu2);
        if (sigma > max_sigma)
        {
            max_sigma = sigma;
            max_val = i;
        }
    }

    return max_val;
}

double threshold_with_mask(Mat1b& src, Mat1b& dst, double thresh, double maxval, int type, const Mat1b& mask = Mat1b())
{
    if (mask.empty() || (mask.rows == src.rows && mask.cols == src.cols && countNonZero(mask) == src.rows * src.cols))
    {
        // If empty mask, or all-white mask, use cv::threshold
        thresh = cv::threshold(src, dst, thresh, maxval, type);
    }
    else
    {
        // Use mask
        bool use_otsu = (type & THRESH_OTSU) != 0;
        if (use_otsu)
        {
            // If OTSU, get thresh value on mask only
            thresh = otsu_8u_with_mask(src, mask);
            // Remove THRESH_OTSU from type
            type &= THRESH_MASK;
        }

        // Apply cv::threshold on all image
        thresh = cv::threshold(src, dst, thresh, maxval, type);

        // Copy original image on inverted mask
        src.copyTo(dst, ~mask);
    }
    return thresh;
}


int main()
{
    // Load an image
    Mat1b img = imread("D:\SO\img\nice.jpg", IMREAD_GRAYSCALE);

    // Apply OpenCV version
    Mat1b cvth;
    double cvth_value = threshold(img, cvth, 100, 255, THRESH_OTSU);

    // Create a binary mask
    Mat1b mask(img.rows, img.cols, uchar(0));
    rectangle(mask, Rect(100, 100, 200, 200), Scalar(255), CV_FILLED);

    // Apply threshold with a mask
    Mat1b th;
    double th_value = threshold_with_mask(img, th, 100, 255, THRESH_OTSU, mask);

    // Show results
    imshow("cv::threshod", cvth);
    imshow("threshold_with_balue", th);
    waitKey();

    return 0;
}

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