A fast Abel inversion algorithm

Shay Gueron, Moshe Deutsch

Research output: Contribution to journalArticlepeer-review


The inversion formula of Abel's integral equation has numerous applications in many scientific fields. In practice, its input is experimentally obtained data that contains inevitable measurement noise. Avoiding error amplification is, therefore, a main concern of every algorithm. We present a new fast Abel inversion algorithm that, in contrast to other methods, requires a negligible number of transcendental operations. Storage requirements are reduced as well. The advantage of the algorithm is especially noticeable when multiple data sets need to be inverted. As demonstrated in the paper, the new algorithm attenuates the input errors.

Original languageEnglish
Pages (from-to)4313-4318
Number of pages6
JournalJournal of Applied Physics
Issue number9
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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