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Motivated by the interest of observing the growth of cancer cells amongnormal living cells and exploring how galaxies and stars are truly formed, theobjective of this paper is to introduce a rigorous and effective method forcounting point-masses, determining their spatial locations, and computing theirattributes. Based on computation of Hermite moments that are Fourier-invariant,our approach facilitates the processing of both spatial and Fourier data in anydimension.

A Fourier-invariant method for locating point-masses and computing their attributes