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Rapid algebraic reconstruction technique applied to computed tomography imaging

A technology of algebraic reconstruction and CT imaging, which is applied in the field of biomedical imaging and non-destructive testing, and can solve the problems of limited application, slow reconstruction speed, and large calculation amount of algebraic reconstruction method

Inactive Publication Date: 2016-05-18
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Problems solved by technology

[0004] The disadvantage of the algebraic reconstruction method is the large amount of calculation and the slow reconstruction speed, which has limited its application for a long time

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  • Rapid algebraic reconstruction technique applied to computed tomography imaging
  • Rapid algebraic reconstruction technique applied to computed tomography imaging
  • Rapid algebraic reconstruction technique applied to computed tomography imaging

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Embodiment Construction

[0059] The present invention will be further described below in conjunction with the drawings and specific embodiments.

[0060] Assume that the large-scale linear equation system obtained by transforming the CT imaging problem is Ax=b. Wherein, A is an M×N system matrix, M is the dimension of the measurement data, and N=n×n is the dimension of the image space. In the case of incomplete projection, M<N. In order to reconstruct high-quality images, it is also necessary to introduce some prior knowledge for regularization. An effective and widely used regularization technique is the Total variation (TV) regularization technique.

[0061] The present invention provides a TV-like regularization technique. After regularization, the CT image reconstruction problem is transformed into the minimization problem of the following objective function:

[0062] f(x)=||Ax-b|| 2 +γ 2 ||R 1 x|| 2 +γ 2 ||R 2 x|| 2 (17)

[0063] Among them, γ is the regularization coefficient. R 1 ,...

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Abstract

The invention provides a rapid algebraic reconstruction technique (ART) applied to computed tomography (CT) imaging, belonging to the technical field of biomedical imaging, nondestructive test, etc. Based on traditional ART, the rapid ART of the invention randomly selects partial hyperplane, and performs further acceleration adjustment operation on the projection solution vector obtained through the traditional ART on the partial hyperplane, thereby allowing the solution vector after adjustment and update to be optimal on the connection line between an original solution vector and the hyperplane solution vector of last iteration. According to the rapid ART, a different hyperplane projection sequence can be employed for each iteration. A random projection sequence of each iteration allows higher efficiency under various conditions. Compared with the traditional ART, the rapid ART substantially increases an algorithm convergence speed, and can be applied to rapid CT image reconstruction under incomplete projection conditions.

Description

technical field [0001] The invention relates to a fast algebraic reconstruction method applied to CT imaging, and belongs to the technical fields of biomedical imaging, nondestructive testing and the like. Background technique [0002] As an important non-destructive testing technology, computed tomography (CT) imaging is widely used in medical and industrial fields. Currently, there are two main categories of commonly used CT image reconstruction algorithms: one is the analytical method represented by the filtered back projection algorithm (FBP); the other is the iterative algorithm represented by the algebraic reconstruction method (ART). The advantages of the analytical method are small amount of calculation, fast reconstruction speed, and good reconstruction image quality can be obtained when the projection data is sufficient, so today's mainstream commercial CT still uses the analytical method to reconstruct images. [0003] In actual medical and industrial application...

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Application Information

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IPC IPC(8): G06T11/00
CPCG06T11/003G06T2211/416G06T2211/424
Inventor 林川卿安永臧杰锋
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA
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