A Fast, Accurate, and Separable Method for Fitting a Gaussian Function [Tips & Tricks]

Abstract

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be used to model an approximation of the Airy disk in image processing, a laser heat source in laser transmission welding [1], practical microscopic applications [2], and fluorescence dispersion in flow cytometric deoxyribonucleic acid histograms [3]. In applied sciences, the noise that corrupts the signal can be modeled by the Gaussian distribution according to the central limit theorem. Thus, by fitting the GF, researchers can develop a sound interpretation of the corresponding process or phenomenon behavior.