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Image regularization is also called regularized image reconstruction which is referred to as "inpainting" in other related works [4, 19].
Obtain the regularized image I σ. b.
In this case, the contrast of the regularized image u(r) is zero.
The regularized image system contains the same elements as the singular counterpart but with coefficients that depend on a regularization parameter.
(4) For α sufficiently large (but finite), from the Eq. (4), we note that the regularized image u(r) is constant and is simply the mean of the observed image u 0(r) over the entire domain Ω.
Then the regularized image is represented as u(r)={U}_i+{delta}_i=left{begin{array}{c}hfill {U}_1-frac{2alpha }{r}, i=1hfill hfill {U}_2-frac{2alpha }{3r}, i=2hfill hfill {U}_3+frac{4alpha }{5r}, i=3hfill end{array}right.
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Statistical parametric mapping (SPM) produces unbiased smoothed and regularized images that allow a comparison between a single patient and a control group to define functionally abnormal regions.
Spectral mixing models were learned from the training dataset and were used to regularize the image local smoothness.
In the first step the blur is estimated from the blurred photograph by regularizing the image gradients with a mixture of Gaussian distributions and by regularizing the blur with a mixture of exponential distributions.
Regularized Digital Image Correlation (DIC) is used to measure displacement fields and to reveal DIC residuals, i.e., image differences that cannot be accounted for with registration.
After reconstruction, images were regularized with a 3-D gaussian filter of 4 mm full-width at half-maximum to reduce image noise at the voxel level prior to calculation of parametric maps with the SRTM [ 37].
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