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Methods and apparatus for back-projection and forward-projection

  • US 7,120,283 B2
  • Filed: 01/12/2004
  • Issued: 10/10/2006
  • Est. Priority Date: 01/12/2004
  • Status: Active Grant
First Claim
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1. In reconstruction imaging in which a volume is reconstructed from a series of measured projection images, each generated by projection of a radiation source positioned at a respective focus through the volume to a detector at which the respective measured projection image is acquired (“

  • detector plane”

    ), an improved method of back-projecting a two-dimensional (2D) representation (“

    first 2D representation”

    ) to a generate three-dimensional (3D) representation, where the first 2D representation is in the detector plane, the improvement comprisingfor each of one or more slices of the 3D representation parallel to the detector plane and for each distinct focus at which a said measured projection images is generated, performing the steps of;

    i) warping the first 2D representation to generate a second 2D representation, wherein the first 2D representation is formed from intensity differences between the said measured projection images and a projection of an estimate of the volume, the warping step including applying to the first 2D representation a selected linear mapping, where that selected linear mapping would map, in order to match dimensions of the respective slice within the 3D representation, a region defined by projection, at the respective focus, of corners of that slice onto the detector plane,ii) incrementing values of each of one or more voxels of the respective slice by an amount that is a function of a value of a correspondingly indexed pixel of the second 2D representation.

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