Simple binary threshold method is sufficient.

include

#include <string>
#include "opencv/highgui.h"
#include "opencv2/imgproc/imgproc.hpp"

using namespace std;
using namespace cv;

int main()
{
    Mat img = imread("./img.jpg",0);//loading gray scale image
    threshold(img, img, 128, 255, CV_THRESH_BINARY);//threshold binary, you can change threshold 128 to your convenient threshold
    imwrite("./black-white.jpg",img);
    return 0;
}

You can use GaussianBlur to get a smooth black and white image.