Medical image processing apparatus and medical image diagnosis apparatus and medical image processing method
View Patent ↗An embodiment provides a medical image processing apparatus that comprises circuitry. The circuitry obtains detection data representing detection events of radiation at a plurality of detector elements. The circuitry reconstructs an image by iteratively using an optimization-transfer algorithm to the detection data. The optimization-transfer algorithm uses a quadratic surrogate function that includes a curvature. The curvature is calculated using an inverse-background image.
1. A positron emission tomography (PET) processing apparatus, comprising:
circuitry configured to
obtain detection data representing detection events of radiation at a plurality of detector elements, and
reconstruct an image by iteratively using an optimization-transfer algorithm to the detection data, the optimization-transfer algorithm using a quadratic surrogate function that includes a curvature, the curvature being calculated using an inverse-background image.
2. The PET processing apparatus according to claim 1 , wherein the circuitry is further configured to obtain the inverse-background image by calculating a back-projection of an inverse of background detection data representing random detection events and scatter detection events.
3. The PET processing apparatus according to claim 2 , wherein the circuitry is further configured to obtain the inverse-background image by replacing values of the background detection data less than a predefined threshold by a predefined positive value.
4. The PET processing apparatus according to claim 1 , wherein the circuitry is further configured to reconstruct the image using a Nesterov acceleration factor that is updated for each iteration of the optimization-transfer algorithm.
5. The PET processing apparatus according to claim 2 , wherein the circuitry is further configured to iteratively perform the optimization-transfer algorithm using pre-calculated the inverse background image.
6. The PET processing apparatus according to claim 2 , wherein the circuitry is further configured to reconstruct the image using the quadratic surrogate function.
7. The PET processing apparatus according to claim 1 , wherein the circuitry is further configured to iteratively use the optimization-transition algorithm, for each iteration, using the quadratic surrogate function that includes the curvature that is calculated based on a pixel of the reconstructed image, a pixel of the inverse background image, and predetermined constant factor.
8. The PET processing apparatus according to claim 7 , wherein the predetermined constant factor is in a range to ensure the quadratic surrogate function satisfies quadratic surrogate constraints.
9. The PET processing apparatus according to claim 1 , wherein the circuitry further configured to update the reconstructed image by optimizing an objective function obtained using the quadratic surrogate function and an auxiliary image from a previous iteration.
10. The PET processing apparatus according to claim 1 , wherein the circuitry is further configured to, by using the quadratic surrogate function,
calculate a first intermediate value of the current iteration based on a difference between a first intermediate value of the previous iteration and a second intermediate value, and
calculate the second intermediate value based on a Nesterov acceleration factor and a vector product, the vector product being between an inverse of a diagonal Hessian matrix of the reconstructed image of the current iteration and a gradient of the reconstructed image of the current iteration.
11. The PET processing apparatus according to claim 10 , wherein the circuitry is further configured to
calculate, during the current iteration, the Nesterov acceleration factor as one-half of a first intermediate value, and
calculate, during the current iteration, the first intermediate value as one plus a square root of one plus four times a square of the Nesterov acceleration factor of the previous iteration.
12. The PET processing apparatus according to claim 10 , wherein the circuitry is further configured to update an auxiliary image by, for the current iteration,
calculating the first vector as a product between an updated reconstructed image and a difference between one and an inverse of the Nesterov acceleration factor for the current iteration,
calculating the second vector as a product between the first intermediate value and an inverse of the Nesterov acceleration factor for the current iteration, and calculating, a sum between the first vector and the second vector.
13. A positron emission tomography (PET) diagnosis apparatus, comprising:
a detector configured to detect detection events using a plurality of detector elements; and
circuitry configured to
obtain detection data representing detection events of radiation at a plurality of detector elements, and
reconstruct an image by iteratively using an optimization-transfer algorithm to the detection data, the optimization-transfer algorithm using a quadratic surrogate function that includes a curvature, the curvature being calculated using an inverse-background image.
14. An method, comprising:
obtaining detection data representing detection events of radiation at a plurality of detector elements, and
reconstructing an image by iteratively using an optimization-transfer algorithm to the detection data, the optimization-transfer algorithm using a quadratic surrogate function that includes a curvature, the curvature being calculated using an inverse-background image.