image-js/src/compare/computeRmse.ts

Image processing and manipulation in JavaScript

import type { Image } from '../Image.js';

/**
 * Compute the Root Mean Square Error (RMSE) between two images. It is just the square root of the MSE.
 * @see {@link https://en.wikipedia.org/wiki/Root-mean-square_deviation}
 * @param image - First image.
 * @param otherImage - Second image.
 * @returns RMSE of the two images.
 */
export function computeRmse(image: Image, otherImage: Image): number {
  const globalMse = computeMse(image, otherImage);

  return Math.sqrt(globalMse);
}

/**
 * Compute the Mean Square Error (MSE) between two images.
 * The input images can have any number of channels.
 * @param image - First image.
 * @param otherImage - Second image.
 * @returns MSE of the two images.
 */
export function computeMse(image: Image, otherImage: Image): number {
  const difference = image.subtract(otherImage, { absolute: true });
  let sum = 0;
  for (let i = 0; i < image.size; i++) {
    for (let channel = 0; channel < image.channels; channel++) {
      const value = difference.getValueByIndex(i, channel);
      sum += value ** 2;
    }
  }
  return sum / (image.size * image.channels);
}