TRANSMISSION IMAGE RECONSTRUCTION AND IMAGING USING POISSONIAN DETECTOR DATA
    1.
    发明公开
    TRANSMISSION IMAGE RECONSTRUCTION AND IMAGING USING POISSONIAN DETECTOR DATA 有权
    ÜBERTRAGUNGSBILDREKONSTRUKTIONUND BIGDGEBUNG UNTER VERWENDUNG VON POISSON-DETEKTORDATEN

    公开(公告)号:EP2732437A1

    公开(公告)日:2014-05-21

    申请号:EP11737897.6

    申请日:2011-07-13

    申请人: Rayvis GmbH

    IPC分类号: G06T11/00

    摘要: An image reconstruction method for reconstructing an image

    ƒ
    min representing a region of investigation within an object (1), comprises the steps of providing detector data (
    y
    i ) comprising Poisson random values from an X-ray transmission measurement using an X-ray source (10) and a detector device (20), said detector data (
    y
    i ) being measured at an
    i -th of a plurality of different pixel positions of the detector device (20) relative to the object (1), and reconstructing the image

    ƒ
    min based on the detector data (
    y
    i ), said reconstructing step including a procedure of minimizing a functional (I) wherein
    ƒ is a current test image used for minimizing the functional F(
    ƒ ), (II) is a maximum-likelihood risk functional for Poisson statistics, said parameters
    μ
    i being transmission projections of the test image
    ƒ , said projections being computed according to Beer-Lambert's law at the
    i -th pixel position relative to the X-ray source (10), |
    T
    -1
    ƒ |
    p is a sparsity enforcing functional including the
    l
    p norm of vector
    T
    -1

    ƒ with 0 ≤
    p -1
    ƒ being a sparse or compressive representation of
    ƒ in a (bi-) orthogonal basis
    T , and
    a is a calibration factor, wherein the image
    ƒ

    min represents the global minimum of the functional
    F (
    ƒ
    ).

    摘要翻译: 用于重构表示物体内的调查区域的图像fmin的图像重建方法包括:使用X射线源和检测器装置的X射线透射测量提供具有泊松随机值的检测器数据(yi),检测器数据 yi)在检测器装置的多个不同像素位置的第i个相对于对象被测量,并且基于检测器数据(yi)重建图像fmin,重建步骤包括使功能F ⁡(f _)= 1kΣi = 1 k笨(μi - yi logüμμ)+ aT - 1 f _p其中f是用于最小化的当前测试图像 功能F(f)。 图像fmin表示F(f)的全局最小值。