Zernike polynomials

Zernike polynomials are a series of mathematical functions used primarily to describe complex shapes and patterns, especially in optics and wavefront analysis. They help to break down complicated surfaces, such as those found in lenses or telescopes, into simpler, understandable components. Each polynomial represents a different part of the shape, making it easier for scientists and engineers to analyze and correct optical distortions. This technique is valuable in fields like astronomy and imaging technology, as it improves the performance and clarity of optical systems.