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Time-resolved diffusion tomographic 2D and 3D imaging in highly scattering turbid media

机译:高散射混浊介质中的时间分辨扩散层析2D和3D成像

摘要

A method for imaging objects in highly scattering turbid media. According to one embodiment of the invention, the method involves using a plurality of intersecting source/detectors sets and time-resolving equipment to generate a plurality of time-resolved intensity curves for the diffusive component of light emergent from the medium. For each of the curves, the intensities at a plurality of times are then inputted into the following inverse reconstruction algorithm to form an image of the medium: wherein W is a matrix relating output at source and detector positions r.sub.s and r.sub.d, at time t, to position r, &Lgr; is a regularization matrix, chosen for convenience to be diagonal, but selected in a way related to the ratio of the noise, nn to fluctuations in the absorption (or diffusion) X.sub.j that we are trying to determine:PP&Lgr;.sub.ij =&lgr;.sub.j &dgr;. sub.ij with . lambda..sub.j = nn / &Dgr;Xj&Dgr;Xj P PY is the data collected at the detectors, and X.sup.k is the kth iterate toward the desired absorption information. An algorithm, which combines a two dimensional (2D) matrix inversion with a one-dimensional (1D) Fourier transform inversion is used to obtain images of three dimensional hidden objects in turbid scattering media.
机译:一种在高度散射的混浊介质中对物体成像的方法。根据本发明的一个实施例,该方法包括使用多个相交的源/检测器组和时间分辨设备来生成从介质射出的光的扩散分量的多个时间分辨强度曲线。对于每条曲线,然后将多次的强度输入到以下逆重构算法中以形成介质的图像:其中W是与在源位置和检测器位置rs和r处的输出相关的矩阵。在时间t,sub.d定位到r,&Lgr;是一个正则化矩阵,为方便起见选择为对角线,但选择的方式与噪声比率与我们尝试确定的吸收(或扩散)Xj的波动有关: P>

&Lgr; .sub.ij =&lgr; .sub.j&dgr;。 sub.ij与。 λj= <nn> / <Xj> Xj> <P> <P> Y是在检测器处收集的数据,Xk是朝向所需吸收信息的第k次迭代。将二维(2D)矩阵求逆与一维(1D)傅里叶变换求反相结合的算法用于获得浑浊散射介质中三维隐藏对象的图像。

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