CN109472836B - Artifact correction method in CT iterative reconstruction - Google Patents

Artifact correction method in CT iterative reconstruction Download PDF

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CN109472836B
CN109472836B CN201811067675.2A CN201811067675A CN109472836B CN 109472836 B CN109472836 B CN 109472836B CN 201811067675 A CN201811067675 A CN 201811067675A CN 109472836 B CN109472836 B CN 109472836B
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projection
image
iterative reconstruction
reconstruction
corrected
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CN109472836A (en
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马建华
徐宗本
陶熙
王永波
靖稳峰
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Xi'an Institute Of Big Data And Artificial Intelligence
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T11/002D [Two Dimensional] image generation
    • G06T11/003Reconstruction from projections, e.g. tomography
    • G06T11/008Specific post-processing after tomographic reconstruction, e.g. voxelisation, metal artifact correction

Abstract

The invention discloses an artifact correction method in CT iterative reconstruction, which specifically comprises the steps of obtaining original projection data y of a digital tomography device, reconstructing the obtained projection data y by adopting a filtering back-projection algorithm, and obtaining a corrected image I1For the corrected image I1Preprocessing to obtain an image correction template I2To the image correction template I2Carrying out forward projection to obtain a projection correction template y1Using a projection correction template y1Correcting the original projection data y to obtain the corrected projection
Figure DDA0001798718920000011
And corrected projection
Figure DDA0001798718920000012
Compared with the prior art, the artifact correction method in CT iterative reconstruction is simple to operate, can effectively remove the artifact caused by rFOV in CT iterative reconstruction, and does not cause the deviation of the CT value of the image in the reconstruction result.

Description

Artifact correction method in CT iterative reconstruction
Technical Field
The invention belongs to the technical field of image processing methods of medical images, relates to a CT image correction method, and particularly relates to an artifact correction method in CT iterative reconstruction.
Background
The Filtered Back Projection (FBP) algorithm has been the dominant reconstruction method for commercial CT, but the FBP algorithm is not suitable for reconstructing projections with severe noise (i.e., low dose CT data). Therefore, Iterative Reconstruction (IR) becomes a research hotspot in recent years, because the IR algorithm can assist Iterative Reconstruction by constructing a reasonable statistical model and introducing different prior information according to different acquired data, excellent imaging quality can be obtained. Over the past few years, several commercial IR technologies (e.g., ASIR by GE Healthcare, SAFIRE by Siemens Healthcare) have been released by different CT vendors.
However, during the Reconstruction process of a CT imaging apparatus (e.g., a medical CT apparatus), some parts of the body (e.g., the shoulder or the pelvis) may exceed the Reconstruction field of view (rFOV), and if the original projection is directly subjected to Iterative Reconstruction (IR), there may be inconsistency between the current projection and the measured projection due to the tissue outside the rFOV during the Iterative Reconstruction process, and thus artifacts in the reconstructed image and deviations of the CT values may occur.
Disclosure of Invention
The invention provides an artifact correction method in CT iterative reconstruction, which specifically comprises the following steps:
step 1, acquiring original projection data y of digital tomography equipment;
step 2, reconstructing the projection data y obtained in the step 1 by adopting a filtering back projection algorithm to obtain a corrected image I1
Step 3, correcting the image I obtained in the step 21Preprocessing to obtain an image correction template I2
Step 4, correcting the image template I obtained in the step 32Carrying out forward projection to obtain a projection correction template y1
Step 5, utilizing the projection correction template y obtained in the step 41Correcting the original projection data y to obtain the corrected projection
Figure BDA0001798718900000021
Step 6, projecting the corrected projection obtained in the step 5
Figure BDA0001798718900000022
And carrying out iterative reconstruction to obtain a final image mu to be reconstructed.
The method is also characterized in that the method,
when the filtering back projection algorithm is adopted for reconstruction in the step 2, the reconstructed visual field is the same as the scanning visual field during projection data acquisition.
The step 3 specifically comprises the following steps:
3.1, for the corrected image I1Zeroing the pixels in the iterative reconstruction visual field region, and reserving the pixel values outside the reconstruction visual field to obtain a preliminary correction image
Figure BDA0001798718900000023
3.2, to the preliminary correction image
Figure BDA0001798718900000024
Carrying out threshold processing to obtain an image correction template I2
The specific way of the threshold processing is formula (1):
Figure BDA0001798718900000025
where t represents an adjustable threshold parameter.
Step 5 adopts formula (2):
Figure BDA0001798718900000031
the iterative reconstruction described in step 6 specifically employs a penalty weighted least squares method based on non-local similarity regularization.
The invention has the beneficial effects that: compared with the prior art, the artifact correction method in CT iterative reconstruction is simple to operate, can effectively remove the artifact caused by rFOV in CT iterative reconstruction, and does not cause the deviation of the CT value of the image in the reconstruction result.
Drawings
FIG. 1 is a schematic flow chart of an artifact correction method in CT iterative reconstruction according to the present invention;
FIG. 2a shows the result of a fan beam CT reconstruction using a prior art FBP algorithm;
FIG. 2b shows the result of a fan-beam CT reconstruction using an iterative algorithm;
fig. 2c shows the result of reconstructing a fan-beam CT by using the artifact correction method in CT iterative reconstruction according to the present invention.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
The invention discloses an artifact correction method in CT iterative reconstruction, which specifically comprises the following steps as shown in figure 1:
step 1, acquiring original projection data y of digital tomography equipment;
step 2, reconstructing the projection data y obtained in the step 1 by adopting a filtering back projection algorithm to obtain a corrected image I1(ii) a The reconstructed field of view is the same as the scan field of view at the time of projection data acquisition.
Step 3, correcting the image I obtained in the step 21Preprocessing to obtain an image correction template I2(ii) a The method comprises the following steps:
3.1, for the corrected image I1Zeroing the pixels in the iterative reconstruction visual field region, and reserving the pixel values outside the reconstruction visual field to obtain a preliminary correction image
Figure BDA0001798718900000041
3.2, to the preliminary correction image
Figure BDA0001798718900000042
Carrying out threshold processing to obtain an image correction template I2
The specific way of the threshold processing is formula (1):
Figure BDA0001798718900000043
where t represents an adjustable threshold parameter.
Step 4, correcting the image template I obtained in the step 32Carrying out forward projection to obtain a projection correction template y1
Step 5, utilizing the projection correction template y obtained in the step 41Correcting the original projection data y to obtain the corrected projection
Figure BDA0001798718900000044
Specifically, formula (2) is adopted:
Figure BDA0001798718900000045
step 6, adopting a punishment weighted least square method based on non-local similarity regularization to perform projection after correction obtained in the step 5
Figure BDA0001798718900000046
And carrying out iterative reconstruction to obtain a final image mu to be reconstructed.
Examples
Taking fan-beam CT as an example:
step 1, acquiring original projection data y of digital tomography equipment, wherein the data is acquired by a detector;
step 2, reconstructing the projection data y obtained in the step 1 by adopting a filtering back projection algorithm (FBP) to obtain a corrected image I1(ii) a The reconstructed field of view is the same as the scan field of view at the time of projection data acquisition.
Specifically, the treatment is performed according to the formula (3):
Figure BDA0001798718900000051
wherein D' is a weight factor, gamma and theta respectively represent the corresponding beam angle and X-ray exposure angle of the detector unit, and hf an(. cndot.) is the convolution kernel used in filtering in the fan-beam FBP.
Step 3, correcting the image I obtained in the step 21Preprocessing to obtain an image correction template I2(ii) a The method comprises the following steps:
3.1, for the corrected image I1In iterationZeroing the pixels in the reconstructed visual field region, and reserving the pixel values outside the reconstructed visual field to obtain a preliminary correction image
Figure BDA0001798718900000052
3.2, to the preliminary correction image
Figure BDA0001798718900000053
Carrying out threshold processing to obtain an image correction template I2(ii) a The purpose of this step is to
Figure BDA0001798718900000054
The pixel value of the air region in (b) is set to zero to reduce the error introduced in the FBP reconstruction process.
The specific way of the threshold processing is formula (1):
Figure BDA0001798718900000055
where t represents an adjustable threshold parameter.
Step 4, correcting the image template I obtained in the step 32Carrying out forward projection to obtain a projection correction template y1(ii) a Its formula is expressed as y1=G×I2Wherein G is a projection operator in CT imaging;
step 5, utilizing the projection correction template y obtained in the step 41Correcting the original projection data y to obtain the corrected projection
Figure BDA0001798718900000056
Specifically, formula (2) is adopted:
Figure BDA0001798718900000057
step 6, adopting a punishment weighted least square method based on non-local similarity regularization to perform projection after correction obtained in the step 5
Figure BDA0001798718900000058
Carrying out iterative reconstruction to obtain a final image mu to be reconstructed;
the target equation for this step is:
Figure BDA0001798718900000061
wherein mu represents the image to be reconstructed, W is a weighting matrix, the diagonal elements of which are the inverse of the variance in the projection data, beta is an adjustable penalty parameter, and W is an adjustable penalty parameterjkThe weighting factor can be calculated according to the non-local similarity of the images.
In step 6, the obtained corrected projection image is subjected to
Figure BDA0001798718900000062
In iterative reconstruction, any iterative algorithm may be used, including but not limited to penalty weighted least squares based on non-local similarity regularization used in embodiments of the present invention.
Through the mode, the artifact correction method in CT iterative reconstruction effectively removes the artifact caused by rFOV in CT iterative reconstruction, and the reconstruction result does not cause the deviation of the CT value of the image, compared with the prior method, as shown in fig. 2 a-2 c, fig. 2a is the result of reconstructing fan-beam CT by adopting the prior FBP algorithm, and the image has no artifact but contains noise in the reconstruction result; FIG. 2b shows the result of a fan-beam CT reconstruction with an iterative algorithm, in which the image noise is reduced but artifacts appear at the edges of the field of view; fig. 2c shows the result of reconstructing a fan-beam CT by using the artifact correction method in CT iterative reconstruction of the present invention, in which the image noise is reduced and the artifact is eliminated.

Claims (2)

1. A method for correcting artifacts in CT iterative reconstruction is characterized by comprising the following steps:
step 1, acquiring original projection data y of digital tomography equipment;
step 2, reconstructing the projection data y obtained in the step 1 by adopting a filtering back projection algorithm to obtain a corrected image I1
When the filtering back projection algorithm is adopted for reconstruction in the step 2, the reconstructed visual field is the same as the scanning visual field during projection data acquisition;
step 3, correcting the image I obtained in the step 21Preprocessing to obtain an image correction template I2
The step 3 specifically comprises the following steps:
3.1, for the corrected image I1Zeroing the pixels in the iterative reconstruction visual field region, and reserving the pixel values outside the reconstruction visual field to obtain a preliminary correction image
Figure FDA0002576893800000011
3.2, to the preliminary correction image
Figure FDA0002576893800000012
Carrying out threshold processing to obtain an image correction template I2
The specific way of the threshold processing is formula (1):
Figure FDA0002576893800000013
wherein t represents an adjustable threshold parameter;
step 4, correcting the image template I obtained in the step 32Carrying out forward projection to obtain a projection correction template y1
Step 5, utilizing the projection correction template y obtained in the step 41Correcting the original projection data y to obtain the corrected projection
Figure FDA0002576893800000014
Step 6, projecting the corrected projection obtained in the step 5
Figure FDA0002576893800000015
And (3) performing iterative reconstruction to obtain a final image mu to be reconstructed, wherein the iterative reconstruction in the step (6) specifically adopts a penalty weighted least square method based on non-local similarity regularization.
2. The method for correcting artifacts in CT iterative reconstruction according to claim 1, wherein the formula (2) is adopted in step 5:
Figure FDA0002576893800000021
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