Algorithm to compare two images in C#

I'm writing a tool in C# to find duplicate images. Currently I create an MD5 checksum of the files and compare those.

Unfortunately, the images can be:

  • Rotated by 90 degrees.
  • Have different dimensions (smaller image with same content).
  • Have different compression or file types (e.g. jpeg artifacts, see below).

higher resolution koalalower resolution koala

What would be the best approach to solve this problem?

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Here is a simple approach with a 256 bit image-hash (MD5 has 128 bit)

  1. resize the picture to 16x16 pixel

16x16 resized

  1. reduce colors to black/white (which equals true/false in this console output)

enter image description here

  1. read the boolean values into List<bool> - this is the hash

Code:

public static List<bool> GetHash(Bitmap bmpSource)
{
List<bool> lResult = new List<bool>();
//create new image with 16x16 pixel
Bitmap bmpMin = new Bitmap(bmpSource, new Size(16, 16));
for (int j = 0; j < bmpMin.Height; j++)
{
for (int i = 0; i < bmpMin.Width; i++)
{
//reduce colors to true / false
lResult.Add(bmpMin.GetPixel(i, j).GetBrightness() < 0.5f);
}
}
return lResult;
}

I know, GetPixel is not that fast but on a 16x16 pixel image it should not be the bottleneck.

  1. compare this hash to hash values from other images and add a tolerance.(number of pixels that can differ from the other hash)

Code:

List<bool> iHash1 = GetHash(new Bitmap(@"C:\mykoala1.jpg"));
List<bool> iHash2 = GetHash(new Bitmap(@"C:\mykoala2.jpg"));


//determine the number of equal pixel (x of 256)
int equalElements = iHash1.Zip(iHash2, (i, j) => i == j).Count(eq => eq);

So this code is able to find equal images with:

  • different file formats (e.g. jpg, png, bmp)
  • rotation (90, 180, 270), horizontal /vertical flip - by changing the iteration order of i and j
  • different dimensions (same aspect is required)
  • different compression (tolerance is required in case of quality loss like jpeg artifacts) - you can accept a 99% equality to be the same image and 50% to be a different one.
  • colored changed to geyscaled and the other way round (because brightness is independent of color)

Update / Improvements:

after using this method for a while I noticed a few improvements that can be done

  • replacing GetPixel for more performance
  • using the exeif-thumbnail instead of reading the whole image for a performance improvement
  • instead of setting 0.5f to differ between light and dark - use the distinct median brightness of all 256 pixels. Otherwise dark/light images are assumed to be the same and it enables to detect images which have a changed brightness.
  • if you need fast calculations, use bool[] or List<bool> if you need to store a lot hashes with the need to save memory, use a Bitarray because a Boolean isn't stored in a bit, it takes a byte!

After resampling the images to some common resolution, you could use a Wavelet Decomposition and compare the coefficients of this decomposition instead of the images themselves. Comparing only the first N coefficients will make this method more robust to noise and other artifacts.

There are several C# implementations for wavelets available. One example is https://waveletstudio.codeplex.com/

You could check Algorithm to compare two images in order to see the available methods for image comparison.

Unless you want to recreate the full algorithms on your own, you should try to use already existing libraries or a least part of their code (as long as their license is ok for you).

For an open source C# implementation of Edge detection and related Computer vision algorithms, you can try EmguCV which is a wrapper of OpenCV.

Interesting question, the comparision of images is not that hard given that,

  1. Those images are the same (first one is not a section of the second one or vise versa)
  2. The images are only rotated by multiples of 90 degrees

One way of doing comparison would be to,

  1. Resize both the images to the lowest size diamention
  2. Apply edge detection on each image resulting black and white image (or array of 0 and 1)
  3. Compare resulting bitmaps (keep first one still, and rotate the second one by 90 degrees 3 times) and calculate % matching pixcels and get the heighest value

Now if the value comes within a reasonable value say 90% (probably have to determine by doing few experiments), then you could safely assume both are the same, but this is not going to work if,

  1. Even if a few pixel differece in the corner, for example second image is cropped from first one
  2. Images are rotated other than multiples of 90 degrees (although this is not very likely)
private List<byte> colorList = new List<byte>();
private string hash;


private string GetImageHash(Bitmap bmpSource)
{
colorList.Clear();
int i,j;
Bitmap bmpMin = new Bitmap(bmpSource, new Size(16, 16)); //create new image with 16x16 pixel
for ( j = 0 ; j < bmpMin.Height; j++)
{
for ( i = 0; i < bmpMin.Width; i++)
{
colorList.Add(bmpMin.GetPixel(i, j).R);
}
}
SHA1Managed sha = new SHA1Managed();
byte[] checksum = sha.ComputeHash(colorList.ToArray());
hash = BitConverter.ToString(checksum).Replace("-", String.Empty);
sha.Dispose();
bmpMin.Dispose();
return hash;
}

Nice advanced stuff here, but lots of images will really be the same file. One measure I would consider is to do the dumb part first.. create a directory list and sort your image files in order of size. Find all pairs with same size files and check each pair for an exact match. For each match, you can remove the double.

Now for the interesting part..

One thing that has not come up in above solutions is to make use of color. You could use a color histogram comparison. For red, green and blue channels, count each color occurrence and put the counts in tree integer[255] arrays. Then normalize each RGB array to floating point [0.0 .. 1.0] values and compare as Vector3(RGB) distance. This approach can find rotated and resized versions of an image. A match in the color domain does not give a guarantee.. but you can use it to (again) group files for further refined processing and speed things up.