Infrared remote sensing image super-resolution reconstruction method based on TGV regularization
A technology for super-resolution reconstruction and remote sensing images, which is applied in the field of infrared remote sensing image super-resolution reconstruction based on TGV regularization, which can solve the problems of low contrast, blurred edges, and complex components, achieve good detail retention, and improve peak reliability. The effect of noise ratio
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[0023] In order to make the purpose, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.
[0024] First, set is an open region, α=(α 0 ,α 1 ,…,α k-1 )>0, (k≥1). And, for any The k-order TGV is defined as Equation (1) as follows:
[0025]
[0026] where, i=0,1,...,k-1, Sym k (R n ) is a k-order symmetric tensor space.
[0027] When k=1, α=α 0 = 1, formula (1) can be rewritten into formula (2), as follows:
[0028]
[0029] Among them, formula (2) is the dual definition of total variation. In this sense, TGV is the promotion and extension of TV. Using the Legendre-Fenchel duality of formula (2), formula (3) can be obtained as follows:
[0030]
[0031] in, is a symmetric gradient operator.
[0032] When k=2, formula (1) can be rewritten into formula (4), as follows:
[0033]
[0034] where BD(Ω) de...
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