如何使用Java实现双线性插值？

Question

我正在尝试使用双线性插值来调整图像的大小，但到目前为止，我只能进行以下操作，我不知道下一步该怎么做。

我知道我需要为所有新像素确定颜色，但是我不知道如何将新像素设置为其新颜色

public WritableImage resizeImage(WritableImage oldImage, float scaleX, float scaleY) {

    //Calculate the new width and height
    int newWidth =  (int) (oldImage.getWidth() * scaleX);
    int newHeight =  (int) (oldImage.getHeight() * scaleY);

    //Create a new image with the new width and height
    WritableImage newImage = new WritableImage(newWidth, newHeight);

    //create a pixel reader
    PixelWriter image_writer = newImage.getPixelWriter();

    for (int j = 0; j < newHeight; ++j) {
        for (int i = 0; i < newWidth; ++i) {
            float x = (float) (j * (newWidth/oldImage.getWidth()));
            float y = (float) (i * (newHeight/oldImage.getHeight()));



        }
    }
    return newImage;
}