Curve Fitting by a Sum of Gaussians

Abstract

Gaussians are useful in multiscale representation of video data. An algorithm is presented which approximates a sequence of uniformly spaced single-valued data by a sum of Gaussians with a prescribed accuracy. The scale-space image [6] of the data is used to estimate the number of Gaussians and their initial parameters. The Marquardt algorithm (J. SIAM 11(2), 1963, 431-441) is then used to optimize the parameters.