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Gaussian kernel smoothing

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arxiv 2007.09539 v4 pith:MRLWV7EC submitted 2020-07-19 stat.ME cs.CVstat.CO

classification stat.MEcs.CVstat.CO
keywords smoothinggaussianimagekernelnoisestatisticalintroduceweighted
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Image acquisition and segmentation are likely to introduce noise. Further image processing such as image registration and parameterization can introduce additional noise. It is thus imperative to reduce noise measurements and boost signal. In order to increase the signal-to-noise ratio (SNR) and smoothness of data required for the subsequent random field theory based statistical inference, some type of smoothing is necessary. Among many image smoothing methods, Gaussian kernel smoothing has emerged as a de facto smoothing technique among brain imaging researchers due to its simplicity in numerical implementation. Gaussian kernel smoothing also increases statistical sensitivity and statistical power as well as Gausianness. Gaussian kernel smoothing can be viewed as weighted averaging of voxel values. Then from the central limit theorem, the weighted average should be more Gaussian.

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Cited by 2 Pith papers

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    A unified bottom-up model that refines keypoints with disk-relative centroid vectors and uses high-confidence keypoints as dynamic mask centers outperforms prior pose and segmentation models on COCO, CrowdPose, and OCHuman.

  2. Conditional Uncertainty Quantification of Stochastic Dynamical Structures Considering Measurement Conditions

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    The paper derives quotient-form formulas for conditional mean, variance, and PDF of stochastic structural responses given selected measurement data, computed with non-equal-weight quasi-Monte Carlo.

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