Implementation of 7 Invariant Moments in MATLAB

The implementation of 7 invariant moments in MATLAB is a straightforward process that can be accomplished through the following workflow. First, we need to define a custom function that accepts a grayscale image as input and returns the seven Hu invariant moments. This function typically involves calculating raw image moments using the regionprops function or manual moment computation through double summation over pixel coordinates. The central moments are then normalized to achieve scale and translation invariance before deriving the rotation-invariant Hu moments through specific mathematical combinations. These invariant moments serve as powerful features for various computer vision applications such as image classification, object recognition, and target tracking. To deepen understanding of moment properties and applications, we recommend studying relevant literature and conducting experiments with different image datasets. Below we provide reference MATLAB code that demonstrates the complete implementation pipeline, including image preprocessing, moment calculation, and invariance verification techniques.