Normalization crystal efficiencies estimation for continuous motion bed acquisition
AssigneeSiemens Medical Solutions USA, Inc.
InventorVladimir Y. Panin
Life of this patent
Estimating the term…
Abstract
A method and system for simultaneously monitoring a positron emission tomography scanner performance during a continuous-bed-motion acquisition is disclosed.
Claims18
A method for simultaneously monitoring a positron emission tomography (PET) scanner performance during a continuous-bed-motion (CBM) acquisition, wherein the PET scanner has a patient bed that moves a patient in an axial motion through the PET scanner during the CBM acquisition, the method comprising:
- (a) generating time-of-flight (TOF) patient data of positron annihilation activity in a patient during the CBM acquisition, while accounting for the axial motion of the patient bed during the CBM acquisition, as a first data set;
- (b) generating a complimentary data set by integrating the TOF patient data over the axial motion of the patient bed during the CBM acquisition, wherein the complimentary data set is modeled by the equation:
- y
- _
- ρ
-
-
- θ
-
-
- zT
-
- =
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
-
- B
- (
- a
- ρ
-
-
- θ
-
-
- ζ
-
- ∑
- k
-
- C
- ρ
-
-
- θ
-
-
- ζ
-
-
- T
- ,
- k
-
- f
- k
- )
- +
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
-
- B
-
- (
- S
- ρ
-
-
- θ
-
-
- ζ
-
-
- T
- )
- +
- r
- _
- ρ
-
-
- θ
-
-
- zT
- =
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
- p
- _
- ρ
-
-
- θ
-
-
- zT
- +
-
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
-
- S
- ρ
-
-
- θ
-
-
- zT
- +
- r
- _
- ρ
-
-
- θ
-
-
- zT
- ,
- wherein yρθz, a motion blurring operator, is calculated by:
- y
- ρ
-
-
- θ
-
-
- z
- =
- B
-
- (
- y
- ρ
-
-
- θ
-
-
- ζ
- )
- =
- ∫
- 0
- t
- acq
- ′
-
- dt
- ′
-
- ∑
- ζ
-
- e
- -
- λ
-
-
- t
-
- d
- ρ
-
-
- θ
-
-
- z
-
- (
- t
- )
-
- y
- ρ
-
-
- θ
-
-
- ζ
-
- δ
- z
- ,
- Z
-
- (
- ζ
- ,
- t
- )
- ;
- and
- (c) simultaneously reconstructing the positron annihilation activity and crystal efficiency normalization coefficient from the complimentary data set.
A positron emission tomography (PET) calibration system comprising:
- a PET scanner having a patient bed that moves a patient in an axial motion through the PET scanner during the CBM acquisition;
- and
- a scintillation crystal efficiency calibration system that performs a method comprising:
- (a) generating time-of-flight (TOF) patient data of positron annihilation activity in a patient during the CBM acquisition, while accounting for the axial motion of the patient bed during the CBM acquisition, as a first data set;
- (b) generating a complimentary data set by integrating the TOF patient data over the axial motion of the patient bed during the CBM acquisition, wherein the complimentary data set is modeled by the equation:
- y
- _
- ρ
-
-
- θ
-
-
- zT
-
- =
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
-
- B
- (
- a
- ρ
-
-
- θ
-
-
- ζ
-
- ∑
- k
-
- C
- ρ
-
-
- θ
-
-
- ζ
-
-
- T
- ,
- k
-
- f
- k
- )
- +
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
-
- B
-
- (
- S
- ρ
-
-
- θ
-
-
- ζ
-
-
- T
- )
- +
- r
- _
- ρ
-
-
- θ
-
-
- zT
- =
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
- p
- _
- ρ
-
-
- θ
-
-
- zT
- +
-
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
-
- S
- ρ
-
-
- θ
-
-
- zT
- +
- r
- _
- ρ
-
-
- θ
-
-
- zT
- ,
- wherein Yρθz, a motion blurring operator, is calculated by:
- y
- ρ
-
-
- θ
-
-
- z
- =
- B
-
- (
- y
- ρ
-
-
- θ
-
-
- ζ
- )
- =
- ∫
- 0
- t
- acq
- ′
-
- dt
- ′
-
- ∑
- ζ
-
- e
- -
- λ
-
-
- t
-
- d
- ρ
-
-
- θ
-
-
- z
-
- (
- t
- )
-
- y
- ρ
-
-
- θ
-
-
- ζ
-
- δ
- z
- ,
- Z
-
- (
- ζ
- ,
- t
- )
- ;
- and
- (c) simultaneously reconstructing the positron annihilation activity and crystal efficiency normalization coefficient from the complimentary data set.
A non-transitory, machine readable storage medium encoded with computer program software, such that when a processor executes the computer program software, the processor performs a method for simultaneously monitoring a positron emission tomography (PET) scanner performance during a continuous-bed-motion (CBM) acquisition, wherein the PET scanner has a patient bed that moves a patient in an axial motion through the PET scanner during the CBM acquisition, the method comprising:
- (a) generating time-of-flight (TOF) patient data of positron annihilation activity in a patient during the CBM acquisition, while accounting for the axial motion of the patient bed during the CBM acquisition, as a first data set;
- (b) generating a complimentary data set by integrating the TOF patient data over the axial motion of the patient bed during the CBM acquisition, wherein the complimentary data set is modeled by the equation:
- y
- _
- ρ
-
-
- θ
-
-
- zT
- =
- n
- ρθ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
- B
-
- (
- a
- ρ
-
-
- θ
-
-
- ζ
-
- ∑
- k
-
- C
- ρ
-
-
- θ
-
-
- ζ
-
-
- T
- ,
- k
-
- f
- k
- )
- +
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
- B
-
- (
- S
- ρ
-
-
- θ
-
-
- ζ
-
-
- T
- )
- +
- r
- _
- ρ
-
-
- θ
-
-
- zT
- =
- n
- ρθ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
- p
- _
- ρ
-
-
- θ
-
-
- zT
- +
- n
- ρ
-
-
- θ
-
-
- z
- -
- 1
-
- (
- ɛ
- )
-
- S
- ρ
-
-
- θ
-
-
- zT
- +
- r
- _
- ρ
-
-
- θz
-
-
- T
- wherein Yρθz, a motion blurring operator, is calculated by:
- y
- ρ
-
-
- θ
-
-
- z
- =
- B
-
- (
- y
- ρ
-
-
- θ
-
-
- ζ
- )
- =
- ∫
- 0
- t
- acq
- ′
-
- dt
- ′
-
- ∑
- ζ
-
- e
- -
- λ
-
-
- t
-
- d
- ρ
-
-
- θ
-
-
- z
-
- (
- t
- )
-
- y
- ρ
-
-
- θζ
-
- δ
- z
- ,
- Z
-
- (
- ζ
- ,
- t
- )
- ;
- and
- (c) simultaneously reconstructing the positron annihilation activity and crystal efficiency normalization coefficient from the complimentary data set.
Dependencies are inferred from the claim text.