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单词 constrained least squares restoration
释义

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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