Image fingerprint to compare similarity of many images

Normal hashing or CRC calculation algorithms do not work well with image data. The dimensional nature of the information must be taken into account.

If you need extremely robust fingerprinting, such that affine transformations (scaling, rotation, translation, flipping) are accounted for, you can use a Radon transformation on the image source to produce a normative mapping of the image data – store this with each image and then compare just the fingerprints. This is a complex algorithm and not for the faint of heart.

a few simple solutions are possible:

  1. Create a luminosity histogram for the image as a fingerprint
  2. Create scaled down versions of each image as a fingerprint
  3. Combine technique (1) and (2) into a hybrid approach for improved comparison quality

A luminosity histogram (especially one that is separated into RGB components) is a reasonable fingerprint for an image – and can be implemented quite efficiently. Subtracting one histogram from another will produce a new historgram which you can process to decide how similar two images are. Histograms, because the only evaluate the distribution and occurrence of luminosity/color information handle affine transformations quite well. If you quantize each color component’s luminosity information down to an 8-bit value, 768 bytes of storage are sufficient for the fingerprint of an image of almost any reasonable size. Luminosity histograms produce false negatives when the color information in an image is manipulated. If you apply transformations like contrast/brightness, posterize, color shifting, luminosity information changes. False positives are also possible with certain types of images … such as landscapes and images where a single color dominates others.

Using scaled images is another way to reduce the information density of the image to a level that is easier to compare. Reductions below 10% of the original image size generally lose too much of the information to be of use – so an 800×800 pixel image can be scaled down to 80×80 and still provide enough information to perform decent fingerprinting. Unlike histogram data, you have to perform anisotropic scaling of the image data when the source resolutions have varying aspect ratios. In other words, reducing a 300×800 image into an 80×80 thumbnail causes deformation of the image, such that when compared with a 300×500 image (that’s very similar) will cause false negatives. Thumbnail fingerprints also often produce false negatives when affine transformations are involved. If you flip or rotate an image, its thumbnail will be quite different from the original and may result in a false positive.

Combining both techniques is a reasonable way to hedge your bets and reduce the occurence of both false positives and false negatives.

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