on the continuity of images by CT imaging

来源 :Computational Biomedical Imaging Workshop(2015计算生物医学成像研讨会) | 被引量 : 0次 | 上传用户:ChengpCN
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  Images by reflection imaging can be well approximated by piecewise constant functions.Thus total variation is an essential tool to regularize this kind of images.In this talk,we show that almost all images generated by CT imaging with both parallel and divergent beam geometries are continuous functions.This indicates the necessity for applying other regularizers with higher order smoothness(such as high order TV and wavelet frames)to process CT images.Numerical experiments will be provided to support our analysis.
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