Method, device and equipment for accelerating CT iterative reconstruction
A technique for iterative reconstruction and reconstruction of images, applied in 2D image generation, image data processing, instruments, etc., can solve the time-consuming problems of CT iterative reconstruction methods, achieve increased hardware computing costs, wide application, and reduce calculation of back projection values The effect of the number of times
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[0062] In a CT scanning system, such as a cone-beam CT scanning system, images of objects scanned in three dimensions can be where i, j, k are integers, and satisfy the conditions 1≤i≤I, 1≤j≤J, 1≤k≤K; I, J, K are the pixels of the three-dimensional image in three dimensions number.
[0063] The iterative algorithm is a method for solving linear system equations. On the basis of a given initial solution, a series of approximate solutions can be generated through iteration to approach the optimal solution. The CT image reconstruction system can be expressed by the following linear system equations:
[0064] Af=b, (1)
[0065] Among them, A is the forward projection matrix; f is the object to be reconstructed, which is an unknown variable; b is the projection data collected by the CT system.
[0066] Since the solution of equation (1) is usually an ill-posed problem and cannot be solved directly, it is usually transformed into the following unconstrained problem based on least sq
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