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Unfortunately, this paradigm is not suitable for video applications because the downsampling pattern is frame dependent which means that the temporal redundancy cannot be efficiently removed by the video encoder.
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The Gaussian probability distribution was considered as a derivative form of k-space center-weighted downsampling pattern, with stronger weighting on k-space low-frequency information.
Pseudocode for Generation of k-Space Downsampling Pattern on 2D Time-Series MRI Data.
Then, we demonstrate the performance of the proposed algorithm and the current algorithms with various downsampling patterns, fluctuation of graph cut-off frequency, robustness on the classic graph structures, and noisy scenarios.
The simulation results demonstrate the effectiveness of the proposed reconstruction strategy with various downsampling patterns, fluctuation of graph cut-off frequency, robustness on the classic graph structures, and noisy scenarios.
Thus, for video applications, there is a need to use temporally static downsampling patterns.
Another conclusion is that the downsampling distortion is notably higher for the fixed design.
The one-hop sampling method is a rather economical and efficient choice of downsampling set forming method when there is no restriction on the number of vertices in the downsampling set or no location-limited of downsampling vertices.
The downsampling set is formed by the one-hop sampling method, and the number of vertices in the downsampling set is 873.
As for the downsampling operation, we simply smooth the original image with a Gaussian function and then downsample the smoothed one using bilinear interpolation.
He proposed a concept of uniqueness set for downsampling and gave a sufficient condition that the downsampling set needs to satisfy for unique reconstruction.
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