证件照制作如此简单——基于人脸检测与自动人像分割轻松制作个人证件照(C++实现)_bbox_blob.channel_range

前言
1.关于证件照，有好多种制作办法，最常见的是使用PS来做图像处理，或者下载各种证件照相关的APP，一键制作，基本的步骤是先按人脸为基准切出适合的尺寸，然后把人像给抠出来，对人像进行美化处理，然后替换上要使用的背景色，比如蓝色或红色。
2.我这里也按着上面的步骤来用代码实现，先是人脸检测，剪切照片，替换背景色，美化和修脸暂时还没有时间写完。
3.因为是考虑到要移植到移动端（安卓和iOS），这里使用了ncnn做推理加速库，之前做过一些APP，加速库都选了ncnn，不管在安卓或者iOS上,性能都是不错的。
4.我的开发环境是win10， vs2019, opencv4.5, ncnn,如果要启用GPU加速，所以用到VulkanSDK，实现语言是C++。
5.先上效果图，对于背景纯度的要求不高，如果使用场景背景复杂的话，也可以完美抠图。
原始图像：

————————————————

 

自动剪切出来的证件照： 

原图： 

自动剪切出来的证件照： 

一.项目创建
1.使用vs2019新建一个C++项目，把OpenC和NCNN库导入，NCNN可以下载官方编译好的库，我也会在后面上传我使用的库和源码以及用到的模型。
2.如果要启用GPU推理，就要安装VulkanSDK，安装的步骤可以参考我之前的博客。

二.人脸检测
1.人脸检测这里面使用 SCRFD ，它带眼睛，鼻子，嘴角五个关键点的坐标，这个可以用做证件照参考点，人脸检测库这个也可以用libfacedetection，效果都差不多，如果是移动端最好选择SCRFD。

代码实现：
推理代码

#include "scrfd.h"
 
#include <string.h>
#include <opencv2/core/core.hpp>
#include <opencv2/imgproc/imgproc.hpp>
#include <ncnn/cpu.h> //安卓才用到
 
static inline float intersection_area(const FaceObject& a, const FaceObject& b)
{
    cv::Rect_<float> inter = a.rect & b.rect;
    return inter.area();
}
 
static void qsort_descent_inplace(std::vector<FaceObject>& faceobjects, int left, int right)
{
    int i = left;
    int j = right;
    float p = faceobjects[(left + right) / 2].prob;
 
    while (i <= j)
    {
        while (faceobjects[i].prob > p)
            i++;
 
        while (faceobjects[j].prob < p)
            j--;
 
        if (i <= j)
        {
            // swap
            std::swap(faceobjects[i], faceobjects[j]);
 
            i++;
            j--;
        }
    }
 
//     #pragma omp parallel sections
    {
//         #pragma omp section
        {
            if (left < j) qsort_descent_inplace(faceobjects, left, j);
        }
//         #pragma omp section
        {
            if (i < right) qsort_descent_inplace(faceobjects, i, right);
        }
    }
}
 
static void qsort_descent_inplace(std::vector<FaceObject>& faceobjects)
{
    if (faceobjects.empty())
        return;
 
    qsort_descent_inplace(faceobjects, 0, faceobjects.size() - 1);
}
 
static void nms_sorted_bboxes(const std::vector<FaceObject>& faceobjects, std::vector<int>& picked, float nms_threshold)
{
    picked.clear();
 
    const int n = faceobjects.size();
 
    std::vector<float> areas(n);
    for (int i = 0; i < n; i++)
    {
        areas[i] = faceobjects[i].rect.area();
    }
 
    for (int i = 0; i < n; i++)
    {
        const FaceObject& a = faceobjects[i];
 
        int keep = 1;
        for (int j = 0; j < (int)picked.size(); j++)
        {
            const FaceObject& b = faceobjects[picked[j]];
 
            // intersection over union
            float inter_area = intersection_area(a, b);
            float union_area = areas[i] + areas[picked[j]] - inter_area;
            //             float IoU = inter_area / union_area
            if (inter_area / union_area > nms_threshold)
                keep = 0;
        }
 
        if (keep)
            picked.push_back(i);
    }
}
 
static ncnn::Mat generate_anchors(int base_size, const ncnn::Mat& ratios, const ncnn::Mat& scales)
{
    int num_ratio = ratios.w;
    int num_scale = scales.w;
 
    ncnn::Mat anchors;
    anchors.create(4, num_ratio * num_scale);
 
    const float cx = 0;
    const float cy = 0;
 
    for (int i = 0; i < num_ratio; i++)
    {
        float ar = ratios[i];
 
        int r_w = round(base_size / sqrt(ar));
        int r_h = round(r_w * ar); //round(base_size * sqrt(ar));
 
        for (int j = 0; j < num_scale; j++)
        {
            float scale = scales[j];
 
            float rs_w = r_w * scale;
            float rs_h = r_h * scale;
 
            float* anchor = anchors.row(i * num_scale + j);
 
            anchor[0] = cx - rs_w * 0.5f;
            anchor[1] = cy - rs_h * 0.5f;
            anchor[2] = cx + rs_w * 0.5f;
            anchor[3] = cy + rs_h * 0.5f;
        }
    }
 
    return anchors;
}
 
static void generate_proposals(const ncnn::Mat& anchors, int feat_stride, const ncnn::Mat& score_blob, const ncnn::Mat& bbox_blob, const ncnn::Mat& kps_blob, float prob_threshold, std::vector<FaceObject>& faceobjects)
{
    int w = score_blob.w;
    int h = score_blob.h;
 
    // generate face proposal from bbox deltas and shifted anchors
    const int num_anchors = anchors.h;
 
    for (int q = 0; q < num_anchors; q++)
    {
        const float* anchor = anchors.row(q);
 
        const ncnn::Mat score = score_blob.channel(q);
        const ncnn::Mat bbox = bbox_blob.channel_range(q * 4, 4);
 
        // shifted anchor
        float anchor_y = anchor[1];
 
        float anchor_w = anchor[2] - anchor[0];
        float anchor_h = anchor[3] - anchor[1];
 
        for (int i = 0; i < h; i++)
        {
            float anchor_x = anchor[0];
 
            for (int j = 0; j < w; j++)
            {
                int index = i * w + j;
 
                float prob = score[index];
 
                if (prob >= prob_threshold)
                {
                    // insightface/detection/scrfd/mmdet/models/dense_heads/scrfd_head.py _get_bboxes_single()
                    float dx = bbox.channel(0)[index] * feat_stride;
                    float dy = bbox.channel(1)[index] * feat_stride;
                    float dw = bbox.channel(2)[index] * feat_stride;
                    float dh = bbox.channel(3)[index] * feat_stride;
 
                    // insightface/detection/scrfd/mmdet/core/bbox/transforms.py distance2bbox()
                    float cx = anchor_x + anchor_w * 0.5f;
                    float cy = anchor_y + anchor_h * 0.5f;
 
                    float x0 = cx - dx;
                    float y0 = cy - dy;
                    float x1 = cx + dw;
                    float y1 = cy + dh;
 
                    FaceObject obj;
                    obj.rect.x = x0;
                    obj.rect.y = y0;
                    obj.rect.width = x1 - x0 + 1;
                    obj.rect.height = y1 - y0 + 1;
                    obj.prob = prob;
 
                    if (!kps_blob.empty())
                    {
                        const ncnn::Mat kps = kps_blob.channel_range(q * 10, 10);
 
                        obj.landmark[0].x = cx + kps.channel(0)[index] * feat_stride;
                        obj.landmark[0].y = cy + kps.channel(1)[index] * feat_stride;
                        obj.landmark[1].x = cx + kps.channel(2)[index] * feat_stride;
                        obj.landmark[1].y = cy + kps.channel(3)[index] * feat_stride;
                        obj.landmark[2].x = cx + kps.channel(4)[index] * feat_stride;
                        obj.landmark[2].y = cy + kps.channel(5)[index] * feat_stride;
                        obj.landmark[3].x = cx + kps.channel(6)[index] * feat_stride;
                        obj.landmark[3].y = cy + kps.channel(7)[index] * feat_stride;
                        obj.landmark[4].x = cx + kps.channel(8)[index] * feat_stride;
                        obj.landmark[4].y = cy + kps.channel(9)[index] * feat_stride;
                    }
 
                    faceobjects.push_back(obj);
                }
 
                anchor_x += feat_stride;
            }
 
            anchor_y += feat_stride;
        }
    }
}
 
 
SCRFD::SCRFD()
{}
 
int SCRFD::detect(const cv::Mat& rgb, std::vector<FaceObject>& faceobjects, float prob_threshold, float nms_threshold)
{
    int width = rgb.cols;
    int height = rgb.rows;
 
    // insightface/detection/scrfd/configs/scrfd/scrfd_500m.py
    const int target_size = 640;
 
    // pad to multiple of 32
    int w = width;
    int h = height;
    float scale = 1.f;
    if (w > h)
    {
        scale = (float)target_size / w;
        w = target_size;
        h = h * scale;
    }
    else
    {
        scale = (float)target_size / h;
        h = target_size;
        w = w * scale;
    }
 
    ncnn::Mat in = ncnn::Mat::from_pixels_resize(rgb.data, ncnn::Mat::PIXEL_RGB, width, height, w, h);
 
    // pad to target_size rectangle
    int wpad = (w + 31) / 32 * 32 - w;
    int hpad = (h + 31) / 32 * 32 - h;
    ncnn::Mat in_pad;
    ncnn::copy_make_border(in, in_pad, hpad / 2, hpad - hpad / 2, wpad / 2, wpad - wpad / 2, ncnn::BORDER_CONSTANT, 0.f);
 
    const float mean_vals[3] = {127.5f, 127.5f, 127.5f};
    const float norm_vals[3] = {1/128.f, 1/128.f, 1/128.f};
    in_pad.substract_mean_normalize(mean_vals, norm_vals);
 
    ncnn::Extractor ex = scrfd_net.create_extractor();
 
    ex.input("input.1", in_pad);
 
    std::vector<FaceObject> faceproposals;
 
    // stride 8
    {
        ncnn::Mat score_blob, bbox_blob, kps_blob;
        ex.extract("score_8", score_blob);
        ex.extract("bbox_8", bbox_blob);
        if (has_kps)
            ex.extract("kps_8", kps_blob);
 
        const int base_size = 16;
        const int feat_stride = 8;
        ncnn::Mat ratios(1);
        ratios[0] = 1.f;
        ncnn::Mat scales(2);
        scales[0] = 1.f;
        scales[1] = 2.f;
        ncnn::Mat anchors = generate_anchors(base_size, ratios, scales);
 
        std::vector<FaceObject> faceobjects32;
        generate_proposals(anchors, feat_stride, score_blob, bbox_blob, kps_blob, prob_threshold, faceobjects32);
 
        faceproposals.insert(faceproposals.end(), faceobjects32.begin(), faceobjects32.end());
    }
 
    // stride 16
    {
        ncnn::Mat score_blob, bbox_blob, kps_blob;
        ex.extract("score_16", score_blob);
        ex.extract("bbox_16", bbox_blob);
        if (has_kps)
            ex.extract("kps_16", kps_blob);
 
        const int base_size = 64;
        const int feat_stride = 16;
        ncnn::Mat ratios(1);
        ratios[0] = 1.f;
        ncnn::Mat scales(2);
        scales[0] = 1.f;
        scales[1] = 2.f;
        ncnn::Mat anchors = generate_anchors(base_size, ratios, scales);
 
        std::vector<FaceObject> faceobjects16;
        generate_proposals(anchors, feat_stride, score_blob, bbox_blob, kps_blob, prob_threshold, faceobjects16);
 
        faceproposals.insert(faceproposals.end(), faceobjects16.begin(), faceobjects16.end());
    }
 
    // stride 32
    {
        ncnn::Mat score_blob, bbox_blob, kps_blob;
        ex.extract("score_32", score_blob);
        ex.extract("bbox_32", bbox_blob);
        if (has_kps)
            ex.extract("kps_32", kps_blob);
 
        const int base_size = 256;
        const int feat_stride = 32;
        ncnn::Mat ratios(1);
        ratios[0] = 1.f;
        ncnn::Mat scales(2);
        scales[0] = 1.f;
        scales[1] = 2.f;
        ncnn::Mat anchors = generate_anchors(base_size, ratios, scales);
 
        std::vector<FaceObject> faceobjects8;
        generate_proposals(anchors, feat_stride, score_blob, bbox_blob, kps_blob, prob_threshold, faceobjects8);
 
        faceproposals.insert(faceproposals.end(), faceobjects8.begin(), faceobjects8.end());
    }
 
    // sort all proposals by score from highest to lowest
    qsort_descent_inplace(faceproposals);
 
    // apply nms with nms_threshold
    std::vector<int> picked;
    nms_sorted_bboxes(faceproposals, picked, nms_threshold);
 
    int face_count = picked.size();
 
    faceobjects.resize(face_count);
    for (int i = 0; i < face_count; i++)
    {
        faceobjects[i] = faceproposals[picked[i]];
 
        // adjust offset to original unpadded
        float x0 = (faceobjects[i].rect.x - (wpad / 2)) / scale;
        float y0 = (faceobjects[i].rect.y - (hpad / 2)) / scale;
        float x1 = (faceobjects[i].rect.x + faceobjects[i].rect.width - (wpad / 2)) / scale;
        float y1 = (faceobjects[i].rect.y + faceobjects[i].rect.height - (hpad / 2)) / scale;
 
        x0 = std::max(std::min(x0, (float)width - 1), 0.f);
        y0 = std::max(std::min(y0, (float)height - 1), 0.f);
        x1 = std::max(std::min(x1, (float)width - 1), 0.f);
        y1 = std::max(std::min(y1, (float)height - 1), 0.f);
 
        faceobjects[i].rect.x = x0;
        faceobjects[i].rect.y = y0;
        faceobjects[i].rect.width = x1 - x0;
        faceobjects[i].rect.height = y1 - y0;
 
        if (has_kps)
        {
            float x0 = (faceobjects[i].landmark[0].x - (wpad / 2)) / scale;
            float y0 = (faceobjects[i].landmark[0].y - (hpad / 2)) / scale;
            float x1 = (faceobjects[i].landmark[1].x - (wpad / 2)) / scale;
            float y1 = (faceobjects[i].landmark[1].y - (hpad / 2)) / scale;
            float x2 = (faceobjects[i].landmark[2].x - (wpad / 2)) / scale;
            float y2 = (faceobjects[i].landmark[2].y - (hpad / 2)) / scale;
            float x3 = (faceobjects[i].landmark[3].x - (wpad / 2)) / scale;
            float y3 = (faceobjects[i].landmark[3].y - (hpad / 2)) / scale;
            float x4 = (faceobjects[i].landmark[4].x - (wpad / 2)) / scale;
            float y4 = (faceobjects[i].landmark[4].y - (hpad / 2)) / scale;
 
            faceobjects[i].landmark[0].x = std::max(std::min(x0, (float)width - 1), 0.f);
            faceobjects[i].landmark[0].y = std::max(std::min(y0, (float)height - 1), 0.f);
            faceobjects[i].landmark[1].x = std::max(std::min(x1, (float)width - 1), 0.f);
            faceobjects[i].landmark[1].y = std::max(std::min(y1, (float)height - 1), 0.f);
            faceobjects[i].landmark[2].x = std::max(std::min(x2, (float)width - 1), 0.f);
            faceobjects[i].landmark[2].y = std::max(std::min(y2, (float)height - 1), 0.f);
            faceobjects[i].landmark[3].x = std::max(std::min(x3, (float)width - 1), 0.f);
            faceobjects[i].landmark[3].y = std::max(std::min(y3, (float)height - 1), 0.f);
            faceobjects[i].landmark[4].x = std::max(std::min(x4, (float)width - 1), 0.f);
            faceobjects[i].landmark[4].y = std::max(std::min(y4, (float)height - 1), 0.f);
        }
    }
 
    return 0;
}
 
int SCRFD::readModels(std::string param_path, std::string model_path, bool use_gpu)
{
    bool has_gpu = false;
 
#if NCNN_VULKAN
    ncnn::create_gpu_instance();
    has_gpu = ncnn::get_gpu_count() > 0;
#endif
 
    bool to_use_gpu = has_gpu && use_gpu;
    scrfd_net.opt.use_vulkan_compute = to_use_gpu;
 
    int rp = scrfd_net.load_param(param_path.c_str());
 
    int rb = scrfd_net.load_model(model_path.c_str());
 
    if (rp < 0 || rb < 0)
    {
        return 1;
    }
    return 0;
}

2.把检测的结果画出来。

int SCRFD::draw(cv::Mat& rgb, const std::vector<FaceObject>& faceobjects)
{
    for (size_t i = 0; i < faceobjects.size(); i++)
    {
        const FaceObject& obj = faceobjects[i];
 
        cv::rectangle(rgb, obj.rect, cv::Scalar(0, 255, 0));
 
        if (has_kps)
        {
            cv::circle(rgb, obj.landmark[0], 2, cv::Scalar(0, 255, 255), -1);
            cv::circle(rgb, obj.landmark[1], 2, cv::Scalar(0, 0, 255), -1);
            cv::circle(rgb, obj.landmark[2], 2, cv::Scalar(255, 255, 0), -1);
            cv::circle(rgb, obj.landmark[3], 2, cv::Scalar(255, 255, 0), -1);
            cv::circle(rgb, obj.landmark[4], 2, cv::Scalar(255, 255, 0), -1);
        }
 
        char text[256];
        sprintf(text, "%.1f%%", obj.prob * 100);
 
        int baseLine = 0;
        cv::Size label_size = cv::getTextSize(text, cv::FONT_HERSHEY_SIMPLEX, 0.5, 1, &baseLine);
 
        int x = obj.rect.x;
        int y = obj.rect.y - label_size.height - baseLine;
        if (y < 0)
            y = 0;
        if (x + label_size.width > rgb.cols)
            x = rgb.cols - label_size.width;
 
        cv::rectangle(rgb, cv::Rect(cv::Point(x, y), cv::Size(label_size.width, label_size.height + baseLine)), cv::Scalar(255, 255, 255), -1);
 
        cv::putText(rgb, text, cv::Point(x, y + label_size.height), cv::FONT_HERSHEY_SIMPLEX, 0.5, cv::Scalar(0, 0, 0), 1);
    }
 
    return 0;
}

3.检测效果

 

三.证件照剪切

1.筛选人脸，如果有一张图像有多张人脸的话，取最大最正的脸的坐标来做基准点。
代码：

int faceFind(const cv::Mat& cv_src, std::vector<FaceObject> &face_object, cv::Rect& cv_rect, std::vector<cv::Point> &five_point)
{
	//只检测到一张脸
	if (face_object.size() == 1)
	{
		if (face_object[0].prob > 0.7)
		{
			for (int i = 0; i < 5; ++i)
			{
				five_point.push_back(face_object[0].landmark[i]);
			}
			cv_rect = face_object[0].rect;
			return 0;
		}
	}
	//检测到多张脸
	else if (face_object.size() >= 2)
	{
		cv::Rect max_rect;
 
		for (int i = 0; i < face_object.size(); ++i)
		{
 
			if (face_object[i].prob >= 0.7)
			{
				cv::Rect rect = face_object[i].rect;
				if (max_rect.area() <= rect.area())
				{
					max_rect = rect;
				}
			}
		}
 
 
		for (int i = 0; i < face_object.size(); ++i)
		{
 
			if (face_object[i].prob >= 0.7)
			{
				cv::Rect rect = face_object[i].rect;
				if (max_rect.area() == rect.area())
				{
					for (int j = 0; j < 5; ++j)
					{
						five_point.push_back(face_object[0].landmark[j]);
					}
					cv_rect = rect;
				}
			}
		}
		return 0;
	}
	return 1;
}

效果：

 2.上面取基准的方法只是一个比较简单的方法，如果算力够的话，或者需要精度更高的话，这里可以加入更多关键点和头部姿态估计和判断。然后用头部姿态估计来判断图像或者摄像头头里的人脸是否摆正了。

 3.以人脸为基准剪切出证件照的尺寸图像，先把脸基准中心，计算上下左右的尺寸，然后按比例剪切出合适的证件照的尺寸。
代码：

int faceLocation(const cv::Mat cv_src,cv::Mat& cv_dst, std::vector<cv::Point>& five_point, cv::Rect &cv_rect)
{
	float w_block = cv_rect.width / 5.5;
	float h_block = cv_rect.height / 8;
 
	//头部
	cv::Rect face_rect;
	face_rect.x = cv_rect.x - (w_block * 0.8);//加上双耳的大小
	face_rect.y = cv_rect.y - (h_block * 2);
	face_rect.width = cv_rect.width + (w_block * 1.6);
	face_rect.height = cv_rect.height + (h_block * 2);
 
	
	//人脸离左边边框的距离
	int tl_face_w = face_rect.tl().x;
	int tr_face_w = cv_src.cols - (face_rect.width + face_rect.tl().x);
 
	int t_face_h = face_rect.tl().y;
	int b_face_h = cv_src.rows - face_rect.br().y;
 
	//算出头像的位置
	int w_scale = face_rect.width / 7;
	int h_scale = face_rect.height / 10;
 
	cv::Rect id_rect;
 
	//判断位置
	if (tl_face_w >= (w_scale * 2) && tr_face_w >= (w_scale * 2) && t_face_h >= (h_scale * 0.5) && b_face_h > (h_scale * 5))
	{
		//判断眼睛的位置
		std::cout << five_point.size() << std::endl;
		if (abs(five_point.at(0).y - five_point.at(1).y) < 8)
		{
			id_rect.x = ((face_rect.x - w_scale * 3) <= 0) ? 0 : (face_rect.x - w_scale * 3);
			id_rect.y = ((face_rect.y - h_scale * 3) < 0) ? 0 : (face_rect.y - h_scale * 3);
			id_rect.width = (w_scale * 13) + id_rect.x > cv_src.size().width ? cv_src.size().width - id_rect.x : w_scale * 13;
			id_rect.height = (h_scale * 19) + id_rect.y > cv_src.size().height ? cv_src.size().height - id_rect.y : h_scale * 19;
			cv_dst = cv_src(id_rect);
	
			return 0;
		}
	}
	return -1;
}

效果：

四.抠图与背景替换

1.经过上面的步骤，已经得到一个证件照的图像，现在要把头像抠出来就可以做背景替换了。

 

int matting(cv::Mat &cv_src, ncnn::Net& net, ncnn::Mat &alpha)
{
	int width = cv_src.cols;
	int height = cv_src.rows;
	ncnn::Mat in_resize = ncnn::Mat::from_pixels_resize(cv_src.data, ncnn::Mat::PIXEL_RGB, width, height, 256,256);
	const float meanVals[3] = { 127.5f, 127.5f,  127.5f };
	const float normVals[3] = { 0.0078431f, 0.0078431f, 0.0078431f };
	in_resize.substract_mean_normalize(meanVals, normVals);
	ncnn::Mat out;
	
	ncnn::Extractor ex = net.create_extractor();
	ex.set_vulkan_compute(true);
	ex.input("input", in_resize);
	ex.extract("output", out);
 
	ncnn::resize_bilinear(out, alpha, width, height);
 
	return 0;
}
 

2.替换背景色。

void replaceBG(const cv::Mat cv_src, ncnn::Mat &alpha,cv::Mat &cv_matting, std::vector<int> &bg_color)
{
	int width = cv_src.cols;
	int height = cv_src.rows;
 
	cv_matting = cv::Mat::zeros(cv::Size(width, height), CV_8UC3);
 
	float* alpha_data = (float*)alpha.data;
	for (int i = 0; i < height; i++)
	{
		for (int j = 0; j < width; j++)
		{
			float alpha_ = alpha_data[i * width + j];
			cv_matting.at < cv::Vec3b>(i, j)[0] = cv_src.at < cv::Vec3b>(i, j)[0] * alpha_ + (1 - alpha_) * bg_color[0];
			cv_matting.at < cv::Vec3b>(i, j)[1] = cv_src.at < cv::Vec3b>(i, j)[1] * alpha_ + (1 - alpha_) * bg_color[1];
			cv_matting.at < cv::Vec3b>(i, j)[2] = cv_src.at < cv::Vec3b>(i, j)[2] * alpha_ + (1 - alpha_) * bg_color[2];
		}
	}
}

3.效果图。
原图：
证件照：

原图（背景比较复杂的原图）：

证件照： 

动漫头像：

五.结语
1.这只是个可以实现功能的demo，如果想要应用到商业上，还有很多细节上的处理，比如果头部姿态估计，眼球检测（是否闭眼），皮肤美化，瘦脸，换装等，这些功能有时间我会去试之后放上来。
2.这个demo改改可以在安卓上运行，demo我在安卓上测试过，速度和精度都有不错的表现。
3.整个工程和源码的地址：https://download.csdn.net/download/matt45m/67756246
————————————————
版权声明：本文为CSDN博主「知来者逆」的原创文章，遵循CC 4.0 BY-SA版权协议，转载请附上原文出处链接及本声明。
原文链接：https://blog.csdn.net/matt45m/article/details/122051306 

 

版权声明：本文为CSDN博主「知来者逆」的原创文章，遵循CC 4.0 BY-SA版权协议，转载请附上原文出处链接及本声明。
原文链接：https://blog.csdn.net/matt45m/article/details/122051306