Source identification from line integral measurements and simple atmospheric models

Brittan Farmer, Cassandra Hall, Selim Esedoglu

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We consider the problem of estimating the sparse initial condition of a solution to the advection-difiusion equation based on line integrals of the solution at a later time. We propose models for locating a single and multiple point sources. We also propose algorithms for the effcient implementation of these models. In practice, the models are relevant also for reconstructing the solution of the PDE at the observation time from a very sparse Radon transform; in this case, our models improve on more standard Radon inversion techniques by utilizing the specialized information about how the observed function was generated.

Original languageEnglish (US)
Pages (from-to)471-490
Number of pages20
JournalInverse Problems and Imaging
Issue number2
StatePublished - May 1 2013


  • Advection-diffusion equation
  • Compressed sensing
  • Computed tomography
  • Sparsity
  • Standoff chemical detection


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