Circular Harmonic Functions: A unifying mathematical framework for image restoration, enhancement, indexing, retrieval and recognition

This paper presents a review of the main properties of the Gauss-Laguerre Circular Harmonic Functions (CHF) particularly useful in image processing applications like restoration enhancement, recognition and retrieval. In fact, adoption of representations based on this family of functions, allows to reduce the computational complexity of Bayesian detectors and estimators. Applications to restoration and image retrieval are also discussed.