English translation for "constrained least squares restoration"

A constrained restoration method. Let the form of the vector algebra structure of the degeneration mode be G=HF+N, where G,F and N are the vectors of (m,m)×1 dimensions, which represent the degeneration image, the ideal image and the noise separately, and H is the degeneration matrix of (m,m)×(m,m) dimensions. This method is to find an estimation F,making the criterion function J(F)=11QF11平方+α(11G-HF11平方-11N11平方) minimum, where Q is the linear operator of F, α is the Lagrange multiplier. The solution is F=(HH+γQQ) -1次方HG, where γ=1／2, In general, an iterativep rocedure is used to adjust the solution until the constrained condition 11G-HF11平方=11N11平方 is satisfied.; 一种约束复原方法。设退化模型的向量代数结构形式为G=HF+N,其中G,F和N为(m,m)×1维向量,分别代表退化图象、理想图象和噪声,H为 (m,m)×(m,m)维退化矩阵。该方法旨在寻求一个估计F,使准则函数J(F)=11QF11平方+α(11G-HF11平方-11N11平方)为最小,式中Q为F的线性算子,α为拉格朗日乘子。解得 F=(HH+γQQ) -1次方HG,其中γ=1／2。通常，迭代过程调整解直到满足约束条件11G-HF11平方=11N11平方为止。

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"constrained geometry catalyst technology" English translation, "constrained gls" English translation, "constrained gls (generalized least squares)" English translation, "constrained gyro" English translation, "constrained kinematic chain" English translation, "constrained lens" English translation, "constrained linear inversion" English translation, "constrained linear least square" English translation, "constrained maximum likelihood estimation" English translation, "constrained maximum-likelihood estimation" English translation