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    • 2. 发明授权
    • Time-resolved diffusion tomographic 2D and 3D imaging in highly
scattering turbid media
    • 在高散射混浊介质中的时间分辨扩散断层扫描2D和3D成像
    • US6108576A
    • 2000-08-22
    • US797163
    • 1997-02-10
    • Robert R. AlfanoWei CaiSwapan K. Gayen
    • Robert R. AlfanoWei CaiSwapan K. Gayen
    • A61B5/00G01N21/47A61B6/00
    • A61B5/0073A61B5/7257G01N21/4795A61B5/0091
    • 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, .LAMBDA. is a regularization matrix, chosen for convenience to be diagonal, but selected in a way related to the ratio of the noise, to fluctuations in the absorption (or diffusion) X.sub.j that we are trying to determine:.LAMBDA..sub.ij =.lambda..sub.j .delta..sub.ij with .lambda..sub.j = / Y 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.
    • 一种用于在高散射混浊介质中成像物体的方法。 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产生用于从介质出射的光的漫射分量的多个时间分辨强度曲线。 对于每个曲线,多个时间的强度然后被输入到以下逆重建算法中以形成介质的图像:其中W是在时间t处将源的输出和检测器位置rs和rd相关联的矩阵, 为了定位r,LAMBDA是一个正则化矩阵,为方便起见选择为对角线,但以与噪声的比值与我们试图确定的吸收(或扩散)Xj的波动相关的方式进行选择: LAMBDA ij = lambda j delta ij,其中λj = / Y是在检测器处收集的数据,Xk是朝向期望的吸收信息的第k次迭代。 将二维(2D)矩阵求逆与一维(1D)傅里叶变换反演相结合的算法用于获取浑浊散射介质中三维隐藏物体的图像。
    • 3. 发明授权
    • Time-resolved diffusion tomographic 2D and 3D imaging in highly
scattering turbid media
    • 在高散射混浊介质中的时间分辨扩散断层扫描2D和3D成像
    • US5931789A
    • 1999-08-03
    • US797028
    • 1997-02-07
    • Robert R. AlfanoWei CaiFeng LiuMelvin LaxBidyut B. Das
    • Robert R. AlfanoWei CaiFeng LiuMelvin LaxBidyut B. Das
    • A61B5/00G01N21/47
    • A61B5/7257A61B5/0073G01N21/4795A61B5/0091
    • 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: ##EQU1## 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, .LAMBDA. is a regularization matrix, chosen for convenience to be diagonal, but selected in a way related to the ratio of the noise, to fluctuations in the absorption (or diffusion) X.sub.j that we are trying to determine:.LAMBDA..sub.ij =.lambda..sub.j .delta..sub.ij with .lambda..sub.j = / Y is the data collected at the detectors, and X.sup.k is the kth iterate toward the desired absoption 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.
    • 一种用于在高散射混浊介质中成像物体的方法。 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产生用于从介质出射的光的漫射分量的多个时间分辨强度曲线。 对于每个曲线,多个时间的强度然后被输入到以下逆重建算法中以形成介质的图像:其中W是在时间t处将源的输出和检测器位置rs和rd相关联的矩阵, 为了定位r,LAMBDA是一个正则化矩阵,为方便起见选择为对角线,但以与噪声的比值与我们试图确定的吸收(或扩散)Xj的波动相关的方式进行选择: LAMBDA ij = lambda j delta ij,其中λj = / Y是在检测器处收集的数据,Xk是朝向期望的吸收信息的第k次迭代。 将二维(2D)矩阵求逆与一维(1D)傅里叶变换反演相结合的算法用于获取浑浊散射介质中三维隐藏物体的图像。
    • 4. 发明授权
    • Time-resolved diffusion tomographic imaging in highly scattering turbid
media
    • 在高散射混浊介质中的时间分辨扩散断层成像
    • US5813988A
    • 1998-09-29
    • US618471
    • 1996-03-18
    • Robert R. AlfanoWei CaiFeng LiuMelvin LaxBidyut B. Das
    • Robert R. AlfanoWei CaiFeng LiuMelvin LaxBidyut B. Das
    • A61B5/00G01N21/47
    • A61B5/0073G01N21/4795A61B5/0091
    • 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: X.sup.(k+1).spsp.T =�Y.sup.T W+X.sup.(k).spsp.T .LAMBDA.!�W.sup.T W+.LAMBDA.!.sup.-1 wherein W is a matrix relating output at detector position r.sub.d, at time t, to source at position r.sub.s, .LAMBDA. is a regularization matrix, chosen for convenience to be diagonal, but selected in a way related to the ratio of the noise, to fluctuations in the absorption (or diffusion) X.sub.j that we are trying to determine: .LAMBDA..sub.ij =.lambda..sub.j .delta..sub.ij with .lambda..sub.j = / Here Y is the data collected at the detectors, and X.sup.k is the kth iterate toward the desired absoption information.
    • 一种用于在高散射混浊介质中成像物体的方法。 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产生用于从介质出射的光的漫射分量的多个时间分辨强度曲线。 对于每个曲线,多个时间的强度然后被输入到以下逆重建算法中以形成介质的图像:X(k + 1)T = [YTW + X(k)T LAMBDA] [WTW + LAMBDA] -1其中W是将检测器位置rd,时间t处的输出与位置rs处的源相关的矩阵,LAMBDA是为了方便对角线选择的正则化矩阵,但是以与 噪声,nn>我们试图确定的吸收(或扩散)Xj的波动:LAMBDA ij = lambda j delta ij与lambda j = / 这里Y是在 检测器和Xk是朝向期望的吸收信息的第k次迭代。