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

Charles Kam-Tai CHUI, H. N. Mhaskar*

*Corresponding author for this work

Research output: Contribution to journalLetterpeer-review

5 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)436-452
Number of pages17
JournalApplied and Computational Harmonic Analysis
Volume45
Issue number2
DOIs
Publication statusPublished - Sep 2018

Scopus Subject Areas

  • Applied Mathematics

User-Defined Keywords

  • Hermite moments
  • Localized kernels
  • Point mass separation
  • Polynomial frames

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