A method for simultaneously monitoring a positron emission tomography scanner performance during a continuous-bed-motion acquisition, wherein the PET scanner has a patient bed that moves a patient in an axial motion through the PET scanner during a CBM acquisition, the method comprising: (a) generating time-of-flight patient data during the CBM acquisition by a PET scanner, 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 in step (b) is modeled by the equation: y ̅ ρθzT = n ρθz − 1 ε B a ρθζ ∑ k C ρθζT, k ƒ k + n ρθz − 1 ε B S ρθζT + r ̅ ρθzT = n ρθz − 1 ε p ̅ ρθzT + n ρθz − 1 ε S ρθzT + r ̅ ρθzT with TOF bin index T, true events modeled projection p from the emission object f, defined by voxel index k, normalization array n for attenuation by a, scatter estimation S, mean random data r, scanner normalization factor Z, wherein y ρθz, a motion blurring operator, is calculated by: y ρθz = B y ρθζ = ∫ 0 t acq ′ dt ′ ∑ ζ e − λt d ρθz t y ρθζ δ z, Z ζ t wherein the blurring operator is a simple summation over modeled projection planes; wherein C is the geometrical projection system matrix; wherein ε is the crystal efficiency; and wherein coordinate ζ is the CBM data normalization; wherein λ is a decay correction constant for a specific isotope, δ is Kronecker's delta, d is a dead time correction factor, and t ' acq is the CBM acquisition time; and (c) simultaneously reconstructing the activity and crystal efficiency normalization coefficients A, B, from the complimentary data set. (a) generating time-of-flight patient data during the CBM acquisition by a PET scanner, 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 in step (b) is modeled by the equation: y ̅ ρθzT = n ρθz − 1 ε B a ρθζ ∑ k C ρθζT, k ƒ k + n ρθz − 1 ε B S ρθζT + r ̅ ρθzT = n ρθz − 1 ε p ̅ ρθzT + n ρθz − 1 ε S ρθzT + r ̅ ρθzT with TOF bin index T, true events modeled projection p from the emission object f, defined by voxel index k, normalization array n for attenuation by a, scatter estimation S, mean random data r, scanner normalization factor Z, wherein y ρθz, a motion blurring operator, is calculated by: y ρθz = B y ρθζ = ∫ 0 t acq ′ dt ′ ∑ ζ e − λt d ρθz t y ρθζ δ z, Z ζ t wherein the blurring operator is a simple summation over modeled projection planes; wherein C is the geometrical projection system matrix; wherein ε is the crystal efficiency; and wherein coordinate ζ is the CBM data normalization; wherein λ is a decay correction constant for a specific isotope, δ is Kronecker's delta, d is a dead time correction factor, and t ' acq is the CBM acquisition time; and wherein the complimentary data set in step (b) is modeled by the equation: y ̅ ρθzT = n ρθz − 1 ε B a ρθζ ∑ k C ρθζT, k ƒ k + n ρθz − 1 ε B S ρθζT + r ̅ ρθzT = n ρθz − 1 ε p ̅ ρθzT + n ρθz − 1 ε S ρθzT + r ̅ ρθzT with TOF bin index T, true events modeled projection p from the emission object f, defined by voxel index k, normalization array n for attenuation by a, scatter estimation S, mean random data r, scanner normalization factor Z, wherein y ρθz, a motion blurring operator, is calculated by: y ρθz = B y ρθζ = ∫ 0 t acq ′ dt ′ ∑ ζ e − λt d ρθz t y ρθζ δ z, Z ζ t wherein the blurring operator is a simple summation over modeled projection planes; wherein C is the geometrical projection system matrix; wherein ε is the crystal efficiency; and wherein coordinate ζ is the CBM data normalization; wherein λ is a decay correction constant for a specific isotope, δ is Kronecker's delta, d is a dead time correction factor, and t ' acq is the CBM acquisition time; and (c) simultaneously reconstructing the activity and crystal efficiency normalization coefficients A, B, from the complimentary data set.