Image reconstruction method and image reconstruction processing system
An image reconstruction method of an embodiment is to perform PET image reconstruction based on an objective function that solves a combinatorial optimization problem. The image reconstruction method of the embodiment includes a step of obtaining detection data and a step of performing PET image reconstruction by solving a combinatorial optimization problem based on the objective function into which the detection data is incorporated.
1 . An image reconstruction method of performing PET image reconstruction based on an objective function that solves a combinatorial optimization problem, the method comprising:
obtaining detection data; and
performing PET image reconstruction by solving a combinatorial optimization problem based on the objective function into which the detection data is incorporated, wherein
the objective function includes a constant term, a bias term, and a coupling term,
the constant term is a term based on the detection data,
the bias term is a term based on the detection data and a system matrix, and
the coupling term is a term based on the system matrix.
2 . The image reconstruction method according to claim 1 , wherein the objective function is an Ising model Hamiltonian.
3 . The image reconstruction method according to claim 1 , wherein
the system matrix describes a probability relationship between a positron emission event at a point in a detector field of view and a detection event of pair annihilation gamma rays with a line of response.
4 . The image reconstruction method according to claim 1 , wherein the constant term includes a scattering coincidence counting component.
5 . The image reconstruction method according to claim 1 , wherein the constant term includes a random coincidence counting component.
6 . The image reconstruction method according to claim 1 , wherein the bias term includes a scattering coincidence counting component.
7 . The image reconstruction method according to claim 1 , wherein the bias term includes a random coincidence counting component.
8 . The image reconstruction method according to claim 1 , wherein
the constant term includes a scattering coincidence counting component and a random coincidence counting component, and
the bias term includes a scattering coincidence counting component and a random coincidence counting component.
9 . The image reconstruction method according to claim 1 , wherein the obtaining detection data and the performing PET image reconstruction are performed by an annealing machine.
10 . The image reconstruction method according to claim 9 , wherein the annealing machine is a quantum annealing computer, a simulated annealing computer, or an Ising machine.
11 . An image reconstruction processing system comprising:
a medical diagnostic imaging apparatus configured to obtain detection data; and
processing circuitry configured to perform image reconstruction based on the detection data, the processing circuitry being connected to the medical diagnostic imaging apparatus via a network, wherein
in the processing circuitry, image reconstruction is performed based on processing executed by executing an image reconstruction method of performing image reconstruction based on an objective function that solves a combinatorial optimization problem by a quantum computer, wherein
the objective function includes a constant term, a bias term, and a coupling term,
the constant term is a term based on the detection data,
the bias term is a term based on the detection data and a system matrix, and
the coupling term is a term based on the system matrix.