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Image moment

lastmod 2025-01-08created 2022-07-128 edits

In image processing, computer vision, and related fields, an image moment is a certain particular weighted average of the image pixels' intensities, or a function of such moments, usually chosen to have some attractive property or interpretation. Image moments are useful for describing objects after segmentation.

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Image moments, in image processing, computer vision, and related fields, refer to a particular weighted average (moment) of the intensities of image pixels, or generally to a function that captures or allows interpretation of some unique characteristic of an object.

Simply put, given a binary image, they are the unique characteristics held by the x-axis and y-axis.

The value is the sum over the pixel indices on the x-axis and y-axis of each image: at order 0 only the image values are summed, at order 1 the image is multiplied by only the x-axis or y-axis value, at order 2 by its square, and at order 3 by its cube, and then summed.

Image moments can be divided into

  • spatial moments
  • central moments
  • mass center
  • nomalized central moments

and so on.

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