Phillips–Tikhonov regularization of plasma image reconstruction with the generalized cross validation

Iwama, Naofumi; Yoshida, Hiromasa; Takimoto, Hitoshi; Shen, Yun; Takamura, Shuichi; Tsukishima, Takashige
February 1989
Applied Physics Letters;2/6/1989, Vol. 54 Issue 6, p502
Academic Journal
The use of the Phillips–Tikhonov regularization is proposed for numerically stabilizing the ill-conditioned plasma image reconstructions. An objective function to be minimized leads to a linear estimator of the image intensity distribution and, with the aid of the singular value decomposition, makes it possible to use the generalized cross validation for optimizing a regularization parameter. An excellent behavior of the estimator with computational facility is obtained on the Hα emission computerized tomography of a toroidal plasma.


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