publication . Article . 2012

Green's Theorem for Sign Data

Louis M. Houston;
Open Access
  • Published: 21 Jun 2012 Journal: ISRN Applied Mathematics, volume 2,012, pages 1-10 (eissn: 2090-5572, Copyright policy)
  • Publisher: Hindawi Limited
Abstract
<jats:p>Sign data are the signs of signal added to noise. It is well known that a constant signal can be recovered from sign data. In this paper, we show that an integral over variant signal can be recovered from an integral over sign data based on the variant signal. We refer to this as a generalized sign data average. We use this result to derive a Green's theorem for sign data. Green's theorem is important to various seismic processing methods, including seismic migration. Results in this paper generalize reported results for 2.5D data volumes in which Green's theorem applies to sign data based only on traditional sign data recovery.</jats:p>
doi: 10.5402/2012/539359
Subjects
free text keywords: Article Subject, Data recovery, business.industry, business, Seismic processing, Mathematics, Green's theorem, symbols.namesake, symbols, Integral element, Algorithm, Sign function, Seismic migration, Applied mathematics, Sign (mathematics)
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