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Method for reconstructing complex wave attributes from limited view measurements

  • US 20050027769A1
  • Filed: 03/01/2004
  • Published: 02/03/2005
  • Est. Priority Date: 07/28/2003
  • Status: Active Grant
First Claim
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1. A method for reconstructing complex wave attributes described by an object function O from limited view measurements u of a measurement surface r with associated wavevector K, said method comprising the steps of:

  • processing said limited view measurements u to obtain Fourier transformed measurements ũ

    ;

    determining a Fourier transformed object function Õ

    of said object function O;

    determining an analytic relationship between said Fourier transformed object function Õ and

    said Fourier transformed measurements ũ

    ;

    analytically extending said Fourier transform Õ

    by specifying that Õ

    (K)=Õ

    (−

    K), thereby obtaining an analytically extended Fourier transform of Õ

    ; and

    , reconstructing said complex wave attributes by inverting said analytically extended Fourier transform of Õ

    .

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