Robust CBCT reconstruction method based on low-rank tensor decomposition and total variational regularization
A technology of tensor decomposition and total variation, applied in 2D image generation, instruments, complex mathematical operations, etc., can solve the problems of image pollution, the introduction of staircase artifacts, the inefficiency of recovering lost data, etc., to reduce outliers The effect of achieving robustness and broad application prospects
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[0044] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and examples.
[0045] Such as figure 1 As shown, this embodiment provides a CBCT reconstruction method under mixed Gaussian impulse noise, which specifically includes the following steps:
[0046] Step 1: By introducing the Huber loss function as a data fidelity item;
[0047] We project images from a series of 2D Its vector form is expressed as Reconstruction target, N is the total number of projection angles. In CBCT reconstruction we represent the target as a tensor Denotes the mapping of χ to y on the basis of the CBCT reconstruction process i The projection function of the ith corner of .
[0048] In the objective function, there are always two items, one is the data fidelity term, which models the statistics of the 2D projection data; the other is the p...
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