Computing Zernike Moments for an Image

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Resource Overview

This code implements the calculation of Zernike moments for an image, providing mathematical descriptors for shape analysis and feature extraction in computer vision applications.

Detailed Documentation

This code is designed to compute Zernike moments for digital images. Zernike moments represent a mathematical framework for characterizing image shapes and contours through orthogonal polynomial basis functions. The implementation typically involves mapping image coordinates to a unit disk, calculating radial polynomials, and computing complex moments using pixel intensity values. These moments enable quantitative analysis of image features, patterns, symmetry properties, and structural variations. The algorithm is particularly valuable for image processing tasks, pattern recognition systems, and computer vision applications where rotation-invariant shape descriptors are required. Key implementation aspects include handling discrete pixel grids, normalizing moment orders, and ensuring numerical stability during polynomial computations.

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