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Limited angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing

A CT image, limited-angle technology, applied in the field of limited-angle CT image reconstruction algorithms, can solve the problems of limited-angle CT imaging, blur, and undiscovered patent publications.

Active Publication Date: 2018-05-01
CAPITAL NORMAL UNIVERSITY
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

In some important applications, due to limited conditions, it is difficult to obtain projection data at some angles, which leads to limited-angle CT imaging problems, such as breast imaging in medicine, imaging of large-scale plate objects in industrial non-destructive testing, etc.
[0003] Limited-angle CT imaging is an incomplete data imaging problem. The images directly reconstructed by traditional image reconstruction algorithms (such as FDK, SART, etc.) have image blur along specific directions and finite-angle artifacts. The more angles are missing, the more serious the blur , affecting the availability of CT images
[0004] Through the search, no patent publications related to the patent application of the present invention have been found

Method used

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  • Limited angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing
  • Limited angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing
  • Limited angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing

Examples

Experimental program
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Effect test

Embodiment 1

[0044] A limited-angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing, such as figure 1 As shown, the specific process is described as follows:

[0045] Step 1. Input variables: finite-angle CT scan data set p, finite-angle CT scan geometric parameter set G;

[0046] Step 2. Initialization: Determine the coordinate system of the reconstructed image according to the scanning angle range; initially estimate the image u (0) , the iteration termination threshold ε or the upper limit of the number of iterations N;

[0047] Step 3. Assume that the estimated image u has been obtained (k) , with u (k) As the initial value, use the limited-angle CT scan data set p to update the estimated image u (k+1 / 3) =R G (p,u (k) ), where R G Represents the image reconstruction operator related to the scanning geometry parameter set G;

[0048] Step 4, for the image u (k+1 / 3) Perform boundary-preserving diffusion correction in the x-axis direction to...

Embodiment 2

[0052] Step 1. Input variables: finite-angle CT scan data set p, finite-angle CT scan geometric parameter set G;

[0053] Step 2. Initialization: Determine the coordinate system of the reconstructed image according to the scanning angle range; initially estimate the image u (0), the iteration termination threshold ε or the upper limit of the number of iterations N;

[0054] wherein the coordinate system of the reconstructed image makes the projection angle range symmetrical about the y-axis;

[0055] Step 3. Assume that the estimated image u has been obtained (k) , with u (k) As the initial value, use the limited-angle CT scan data set p to update the estimated image u (k+1 / 3) =R G (p,u (k) ), where R G Represents the image reconstruction operator related to the scanning geometry parameter set G;

[0056] The image reconstruction operator R related to the scanning geometry parameter set G G Defined by the following optimization problem:

[0057]

[0058] where A is...

Embodiment 3

[0073] In order to better reflect the advantages of a limited-angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing in the reconstruction effect of the present invention, the algorithm described in the present invention and existing typical algorithms are combined below in conjunction with a specific embodiment, including SART algorithm, TV regularization algorithm, gradient l 0 Compare the regularization algorithm and the DART algorithm.

[0074] This embodiment adopts the two-dimensional tomographic fan-beam scanning mode, the limited-angle scanning range is [π / 4,3π / 4], and the scanning phantom is as figure 2 As shown, the number of detector units is 512, the unit size is 0.3mm, the distance from the ray source to the rotation center is 300mm, the distance from the detector is 600mm, and the number of angular samples in the scanning range is 181.

[0075] Using SART algorithm, TV regularization algorithm, gradient l 0 Regularization ...

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Abstract

The invention discloses a limited angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing. The algorithm comprises the steps of inputting a variable; performing initialization; assuming that an estimated image u(k) has been obtained, using the u(k) as an initial value, scanning a data set p by using a limited angle CT, updating the estimated image u(k+1 / 3)=RG(p, u(k)); performing the boundary-preserving diffusion correction in the x-axis direction on the image u(k+1 / 3) to obtain u(k+2 / 3) =P(u(k+1 / 3)); performing the boundary-preserving smoothing correctionin y-axis direction on the image u(k+2 / 3) to obtain u(k+1)=S(u(k+2 / 3)); determining whether a difference between two adjacent iterative images is less than a given threshold, or whether the upper limit of iteration times reaches N, terminating the iteration if so, otherwise starting the new iteration with the u(k+1) as the initial value until the condition is satisfied, and ending the limited angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing. The algorithm of the invention eliminates the image blurring and the limited angle artifact caused by the lackof the boundary-preserving diffusion elimination angle, and simultaneously eliminates the possible linear artifacts introduced by the boundary-preserving smoothing diffusion, thereby improving the quality and usability of the limited angle CT image.

Description

technical field [0001] The invention belongs to the technical field of X-ray CT imaging, and relates to a limited-angle CT image reconstruction algorithm based on boundary-preserving diffusion and smoothing. Background technique [0002] Since its invention, CT technology has been widely used in medical diagnosis, industrial non-destructive testing and safety inspection and other fields. In some important applications, due to limited conditions, it is difficult to obtain projection data at some angles, which leads to limited-angle CT imaging problems, such as breast imaging in medicine, imaging of large-scale plate objects in industrial non-destructive testing, etc. [0003] Limited-angle CT imaging is an incomplete data imaging problem. The images directly reconstructed by traditional image reconstruction algorithms (such as FDK, SART, etc.) have image blur along specific directions and finite-angle artifacts. The more angles are missing, the more serious the blur , affect...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T11/00
CPCG06T11/008G06T2211/436
Inventor 赵云松徐金秋李宏伟张朋
Owner CAPITAL NORMAL UNIVERSITY
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