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CT (Computed Tomography) image reconstruction method based on variational inequality at sparse sampling angle

A sparse sampling and CT image technology, applied in image data processing, 2D image generation, instruments, etc., can solve problems such as slow convergence speed and long single iteration time

Active Publication Date: 2014-10-15
SOUTH CHINA UNIV OF TECH
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Problems solved by technology

However, these iterative reconstruction methods that consider regularization, such as the Projection On Convex Sets-Total Variation (POCS-TV) algorithm, have a significant impact on the reconstruction speed due to the incompleteness of the projection data. It often takes many iterations to obtain a high-quality reconstructed image, the convergence speed is slow, and the single iteration time is long

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  • CT (Computed Tomography) image reconstruction method based on variational inequality at sparse sampling angle
  • CT (Computed Tomography) image reconstruction method based on variational inequality at sparse sampling angle
  • CT (Computed Tomography) image reconstruction method based on variational inequality at sparse sampling angle

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[0077] The present invention will be further described in detail below in conjunction with the embodiments and the accompanying drawings, but the embodiments of the present invention are not limited thereto.

[0078] Such as figure 1 As shown, the CT image reconstruction method based on the variational inequality under the sparse sampling angle includes the following steps:

[0079] (1) For fan-beam CT, perform projection scanning at equal angular intervals within the angle range of 0 to 180 degrees, and the angular interval of the projection direction is between 2 and 6 degrees, and obtain sparse projection data y;

[0080] (2) Calculate the projection matrix A through the position information of the X-ray source, the detector and the object to be reconstructed;

[0081] (3) According to the projection data y obtained in step (1) and the projection matrix A obtained in step (2), at the same time, the sparsity and non-negativity of the image gradient are introduced as prior k...

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Abstract

The invention discloses a CT (Computed Tomography) image reconstruction method based on a variational inequality at a sparse sampling angle. The CT image reconstruction method comprises the following steps: (1) carrying out equal-angle interval projection scanning within an angle range of 0-180 degrees by aiming at a fan-beam CT to obtain spare projection data y, wherein an angle interval in a projection direction is between 2 and 6 degrees; (2) calculating a projection matrix A through an X-ray source, a detector and the position information of an object to be reconstructed; (3) according to the projection data y obtained in the step (1) and the projection matrix A obtained in the step (2), simultaneously introducing the sparsity and the non-negativity of an image gradient to serve as priori knowledge to obtain a reconstruction model of an image reconstruction problem at the sparse sampling angle; (4) converting the reconstruction model in the step (3) into a variational inequality form; and (5) solving the variational inequality in the step (4) to obtain a reconstructed image. On the premise that image reconstruction quality is guaranteed, reconstruction convergence speed can be quickened, and single-iteration time is shortened.

Description

technical field [0001] The invention relates to the field of internal image reconstruction of components and medical CT image reconstruction in the process of precision electronic packaging, in particular to a CT image reconstruction method based on variational inequality under sparse sampling angles. Background technique [0002] Computed Tomography (CT) is the product of the combination of X-ray photography technology and complex computer signal processing methods. It performs X-ray projections on objects in different directions, and obtains cross-sectional information of objects through the measured projection data. The internal structure of the object can be reconstructed accurately and intuitively. At present, CT technology has been widely used in safety inspection, industrial non-destructive flaw detection and medical diagnosis and other fields. [0003] In the process of CT reconstruction, we often only obtain incomplete projection data at sparsely sampled angles. C...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T11/00A61B6/03
Inventor 高红霞陈科伟吴丽璇胡跃明
Owner SOUTH CHINA UNIV OF TECH
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