X-ray image linear reconstruction method
An X-ray and image technology, applied in the field of image processing, can solve the problems of computational cost and susceptibility to noise, achieve the effects of simplifying target distribution, simple sampling steps, and improving accuracy and efficiency
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[0012] The present invention will be further described below. The following examples are only used to illustrate the technical solution of the present invention more clearly, but not to limit the protection scope of the present invention.
[0013] A kind of X-ray image linear reconstruction method described in the present invention, concrete steps are as follows:
[0014] Step 1: Obtain the X-ray projection image y, introduce a regularization term based on the total variation TV prior, and construct a reconstructed objective function;
[0015] Assuming that the projected image y is corrupted by additive noise, the linear stochastic model for the forward problem is
[0016] y=Hx+e (1)
[0017] where x∈R N is the object density distribution to be reconstructed; y∈R M is the observed X-ray projection image; H∈R M×N is the system forward matrix obtained after numerical discretization, also known as the parameter-observation data mapping matrix; e∈R M Represents additive nois...
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