Webbläsaren som du använder stöds inte av denna webbplats. Alla versioner av Internet Explorer stöds inte längre, av oss eller Microsoft (läs mer här: * https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Var god och använd en modern webbläsare för att ta del av denna webbplats, som t.ex. nyaste versioner av Edge, Chrome, Firefox eller Safari osv.

Fast inversion of the Radon transform using log-polar coordinates and partial back-projections

In English

Författare

  • Fredrik Andersson

Summary, in English

In this paper a novel filtered back-projection algorithm for inversion of a discretized Radon transform is presented. It makes use of invariance properties possessed by both the Radon transform and its dual. By switching to log-polar coordinates, both operators can be expressed in a displacement invariant manner. Explicit expressions for the corresponding transfer functions are calculated. Furthermore, by dividing the back-projection into several partial back-projections, inversion can be performed by means of finite convolutions and hence implemented by an FFT-algorithm. In this way, a fast and accurate reconstruction method is obtained.

Avdelning/ar

Publiceringsår

2005

Språk

Engelska

Sidor

818-837

Publikation/Tidskrift/Serie

SIAM Journal on Applied Mathematics

Volym

65

Issue

3

Dokumenttyp

Artikel i tidskrift

Förlag

Society for Industrial and Applied Mathematics

Ämne

  • Mathematics

Nyckelord

  • Radon transform
  • filtered back-projection

Status

Published

Forskningsgrupp

  • Harmonic Analysis and Applications

ISBN/ISSN/Övrigt

  • ISSN: 0036-1399