有很多指标可以用来评估两张图片是否像/有多像。

这里我就不讲代码了，因为我认为这应该是一个科学问题，而不是技术问题。

一般来说，问题与人类对图像的感知有关，因此每种算法都有其对人类视觉系统特征的支持。

经典方法有:

可见差异预测器:一种评估图像保真度的算法(https://www.spiedigitallibrary.org/conference-proceedings-of-spie/1666/0000/Visible-differences-predictor--an-algorithm-for-the-assessment-of/10.1117/12.135952.short?SSO=1)

图像质量评估:从错误可见性到结构相似性(http://www.cns.nyu.edu/pub/lcv/wang03-reprint.pdf)

FSIM:一种用于图像质量评估的特征相似度指数(https://www4.comp.polyu.edu.hk/~cslzhang/IQA/TIP_IQA_FSIM.pdf)

其中，SSIM (Image Quality Assessment: From Error Visibility to Structural Similarity)是最容易计算的，其开销也较小，另一篇论文《基于梯度相似度的图像质量评估》(https://www.semanticscholar.org/paper/Image-Quality-Assessment-Based-on-Gradient-Liu-Lin/2b819bef80c02d5d4cb56f27b202535e119df988)也有报道。

还有很多其他的方法。如果你对艺术感兴趣或真正关心，可以在谷歌Scholar上搜索“视觉差异”、“图像质量评估”等。

下面是我写的一个函数，它以2个图像(文件路径)作为参数，并返回两个图像“像素”组件之间的平均差值。这对我确定视觉上“相等”的图像(当它们不==相等时)非常有效。

(我发现8个是判断图像本质上是否相同的一个很好的限制。)

(如果不添加预处理，图像必须具有相同的尺寸。)

from PIL import Image

def imagesDifference( imageA, imageB ):
    A = list(Image.open(imageA, r'r').convert(r'RGB').getdata())
    B = list(Image.open(imageB, r'r').convert(r'RGB').getdata())
    if (len(A) != len(B)): return -1
    diff = []
    for i in range(0, len(A)):
        diff += [abs(A[i][0] - B[i][0]), abs(A[i][1] - B[i][1]), abs(A[i][2] - B[i][2])]
    return (sum(diff) / len(diff))

import os
from PIL import Image
from PIL import ImageFile
import imagehash
  
#just use to the size diferent picture
def compare_image(img_file1, img_file2):
    if img_file1 == img_file2:
        return True
    fp1 = open(img_file1, 'rb')
    fp2 = open(img_file2, 'rb')

    img1 = Image.open(fp1)
    img2 = Image.open(fp2)

    ImageFile.LOAD_TRUNCATED_IMAGES = True
    b = img1 == img2

    fp1.close()
    fp2.close()

    return b





#through picturu hash to compare
def get_hash_dict(dir):
    hash_dict = {}
    image_quantity = 0
    for _, _, files in os.walk(dir):
        for i, fileName in enumerate(files):
            with open(dir + fileName, 'rb') as fp:
                hash_dict[dir + fileName] = imagehash.average_hash(Image.open(fp))
                image_quantity += 1

    return hash_dict, image_quantity

def compare_image_with_hash(image_file_name_1, image_file_name_2, max_dif=0):
    """
    max_dif: The maximum hash difference is allowed, the smaller and more accurate, the minimum is 0.
    recommend to use
    """
    ImageFile.LOAD_TRUNCATED_IMAGES = True
    hash_1 = None
    hash_2 = None
    with open(image_file_name_1, 'rb') as fp:
        hash_1 = imagehash.average_hash(Image.open(fp))
    with open(image_file_name_2, 'rb') as fp:
        hash_2 = imagehash.average_hash(Image.open(fp))
    dif = hash_1 - hash_2
    if dif < 0:
        dif = -dif
    if dif <= max_dif:
        return True
    else:
        return False


def compare_image_dir_with_hash(dir_1, dir_2, max_dif=0):
    """
    max_dif: The maximum hash difference is allowed, the smaller and more accurate, the minimum is 0.

    """
    ImageFile.LOAD_TRUNCATED_IMAGES = True
    hash_dict_1, image_quantity_1 = get_hash_dict(dir_1)
    hash_dict_2, image_quantity_2 = get_hash_dict(dir_2)

    if image_quantity_1 > image_quantity_2:
        tmp = image_quantity_1
        image_quantity_1 = image_quantity_2
        image_quantity_2 = tmp

        tmp = hash_dict_1
        hash_dict_1 = hash_dict_2
        hash_dict_2 = tmp

    result_dict = {}

    for k in hash_dict_1.keys():
        result_dict[k] = None

    for dif_i in range(0, max_dif + 1):
        have_none = False

        for k_1 in result_dict.keys():
            if result_dict.get(k_1) is None:
                have_none = True

        if not have_none:
            return result_dict

        for k_1, v_1 in hash_dict_1.items():
            for k_2, v_2 in hash_dict_2.items():
                sub = (v_1 - v_2)
                if sub < 0:
                    sub = -sub
                if sub == dif_i and result_dict.get(k_1) is None:
                    result_dict[k_1] = k_2
                    break
    return result_dict


def main():
    print(compare_image('image1\\815.jpg', 'image2\\5.jpg'))
    print(compare_image_with_hash('image1\\815.jpg', 'image2\\5.jpg', 7))
    r = compare_image_dir_with_hash('image1\\', 'image2\\', 10)
    for k in r.keys():
        print(k, r.get(k))


if __name__ == '__main__':
    main()

输出: 假 真正的 image2 jpg image1 5. \ \ 815. jpg image2 jpg image1 6. \ \ 819. jpg image2 jpg image1 7. \ \ 900. jpg image2 jpg image1 8. \ \ 998. jpg image2 jpg image1 9. \ \ 1012. jpg 示例图片: 815. jpg 5. jpg

给出的大多数答案都不涉及照明水平。

在进行比较之前，我首先将图像归一化到标准的光照水平。

两种流行且相对简单的方法是:(a)已经提出的欧几里得距离，或(b)标准化互相关。与简单的互相关相比，归一化互相关对光照变化的影响明显更强。维基百科给出了一个标准化互相关的公式。更复杂的方法也存在，但它们需要更多的工作。

使用numpy-like语法，

dist_euclidean = sqrt(sum((i1 - i2)^2)) / i1.size

dist_manhattan = sum(abs(i1 - i2)) / i1.size

dist_ncc = sum( (i1 - mean(i1)) * (i2 - mean(i2)) ) / (
  (i1.size - 1) * stdev(i1) * stdev(i2) )

假设i1和i2为二维灰度图像阵列。

I have been having a lot of luck with jpg images taken with the same camera on a tripod by (1) simplifying greatly (like going from 3000 pixels wide to 100 pixels wide or even fewer) (2) flattening each jpg array into a single vector (3) pairwise correlating sequential images with a simple correlate algorithm to get correlation coefficient (4) squaring correlation coefficient to get r-square (i.e fraction of variability in one image explained by variation in the next) (5) generally in my application if r-square < 0.9, I say the two images are different and something happened in between.

这是强大的和快速的在我的实现(Mathematica 7)

这是值得玩转的部分，你感兴趣的图像，并通过裁剪所有的图像到那个小区域，否则一个远离相机但重要的变化将被错过。

我不知道如何使用Python，但我确信它也有相关性，不是吗?