Signal reconstruction using total-variation primal-dual hybrid gradient (TV-PDHG) algorithm
    1.
    发明授权
    Signal reconstruction using total-variation primal-dual hybrid gradient (TV-PDHG) algorithm 有权
    使用全变异原始双重混合梯度(TV-PDHG)算法的信号重建

    公开(公告)号:US09460052B2

    公开(公告)日:2016-10-04

    申请号:US14137206

    申请日:2013-12-20

    CPC classification number: G06F17/10 G06T9/00 H04N19/90

    Abstract: A mechanism for reconstructing a signal (e.g., an image) based on a vector s, which includes measurements of the signal. The measurements have been acquired using at least a portion of a measurement vector set represented by a matrix H. Each of the measurements corresponds to a respective row of the matrix H. (For example, each of the measurements may correspond to an inner product between the signal and a respective row of the matrix product HD, wherein D is a generalized permutation matrix.) A total-variation primal-dual hybrid gradient (TV-PDHG) algorithm is executed based on data including the matrix H and the vector s, to determine an estimate for the signal. The TV-PDHG algorithm is implemented in fixed-point arithmetic.

    Abstract translation: 一种用于基于矢量s重建信号(例如,图像)的机制,其包括信号的测量。 使用由矩阵H表示的测量向量集的至少一部分已经获得了测量。每个测量对应于矩阵H的相应行。(例如,每个测量可以对应于 信号和矩阵乘积HD的相应行,其中D是广义置换矩阵。)基于包括矩阵H和向量s的数据执行总变异原始双双混合梯度(TV-PDHG)算法, 以确定信号的估计。 TV-PDHG算法以定点算法实现。

    SIGNAL RECONSTRUCTION USING TOTAL-VARIATION PRIMAL-DUAL HYBRID GRADIENT (TV-PDHG) ALGORITHM
    2.
    发明申请
    SIGNAL RECONSTRUCTION USING TOTAL-VARIATION PRIMAL-DUAL HYBRID GRADIENT (TV-PDHG) ALGORITHM 有权
    使用总变分原始双混合梯度(TV-PDHG)算法的信号重构

    公开(公告)号:US20140297703A1

    公开(公告)日:2014-10-02

    申请号:US14137206

    申请日:2013-12-20

    CPC classification number: G06F17/10 G06T9/00 H04N19/90

    Abstract: A mechanism for reconstructing a signal (e.g., an image) based on a vector s, which includes measurements of the signal. The measurements have been acquired using at least a portion of a measurement vector set represented by a matrix H. Each of the measurements corresponds to a respective row of the matrix H. (For example, each of the measurements may correspond to an inner product between the signal and a respective row of the matrix product HD, wherein D is a generalized permutation matrix.) A total-variation primal-dual hybrid gradient (TV-PDHG) algorithm is executed based on data including the matrix H and the vector s, to determine an estimate for the signal. The TV-PDHG algorithm is implemented in fixed-point arithmetic.

    Abstract translation: 一种用于基于矢量s重建信号(例如,图像)的机制,其包括信号的测量。 使用由矩阵H表示的测量向量集的至少一部分已经获得了测量。每个测量对应于矩阵H的相应行。(例如,每个测量可以对应于 信号和矩阵乘积HD的相应行,其中D是广义置换矩阵。)基于包括矩阵H和向量s的数据执行总变异原始双双混合梯度(TV-PDHG)算法, 以确定信号的估计。 TV-PDHG算法以定点算法实现。

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