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Like stated by @LBerger, if I apply this to the input image you give:

#include <iostream>

#include <opencv2/opencv.hpp>

using namespace std;
using namespace cv;

int main()
{
    Mat image = imread("/home/spu/Desktop/test.png");
    Mat outImage;
    resize(image, outImage,  Size(256,256),INTER_NEAREST);

    imshow("orig", image);
    imshow("resized", outImage);

    waitKey(0);

    return 0;
}

Then this is the output result and it is thus working perfectly fine. What is your configuration?

Like stated by @LBerger, if I apply this to the input image you give:

#include <iostream>

#include <opencv2/opencv.hpp>

using namespace std;
using namespace cv;

int main()
{
    Mat image = imread("/home/spu/Desktop/test.png");
    Mat outImage;
    resize(image, outImage,  Size(256,256),INTER_NEAREST);

    imshow("orig", image);
    imshow("resized", outImage);

    waitKey(0);

    return 0;
}

Then this is the output result and it is thus working perfectly fine. What is your configuration?