A CT Image Reconstruction Method Based on Offline Dictionary Sparse Regularization for Scanning with Low Tube Current Intensity
A CT image and current intensity technology, which is applied in image generation, image enhancement, image analysis, etc., can solve the problems of CT image characteristics that are not well targeted, cannot reflect the statistical characteristics of projection noise, and take a long time
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[0058] The specific embodiments of the invention will be described below in conjunction with the accompanying drawings.
[0059] First, the terminology of the present invention, the problem to be solved and some reasoning assumptions are explained.
[0060] 1. Offline dictionary training
[0061] Off-line dictionary training (learning) is to use the existing multiple CT images with sufficient doses of different parts to extract the training sample set, which is used to train the dictionary and save it. In the subsequent CT image reconstruction with low tube current intensity, the trained A dictionary of sparse representations for CT images.
[0062] set a size of The sub-image training blocks of are represented as n-dimensional column vectors If it can be defined by the redundant dictionary D∈R n×k The linear combination of atoms in (k>>n) is sparsely represented, then there is
[0063]
[0064] Among them, ε represents the upper bound of the error; is a column vec...
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