Calibration method for a spectral computerized tomography system
A calibration method for an x-ray computerized tomography system and a method of tomographic reconstruction are provided. The calibration method includes steps of measuring at least one point spread function (PSF) at each of a plurality of points, compressing each PSF, and in one or more storing operations, storing the compressed PSFs in a computer-accessible storage medium. The PSF measurements are made in a grid of calibration points in a field of view (FOV) of the system. In the measuring step, an absorber is positioned at each of the calibration points, and an x-ray projection is taken at least once at each of those absorber positions. In the method of tomographic image reconstruction, projection data from an x-ray tomographic projection system are input to an iterative image reconstruction algorithm. The algorithm retrieves and utilizes a priori system information (APSI) The APSI comprises comprising point spread functions (PSFs) of all voxels in a voxelization of the field of view that are compressed in the form of vectors of parameters. For utilization, each retrieved vector of parameters is decompressed so as to generate a discretized PSF.
1. A calibration method for an x-ray computerized tomography system, comprising:
measuring at least one point spread function (PSF) at each of a plurality of points;
compressing each PSF; and
in one or more storing operations, storing the compressed PSFs in a computer-accessible storage medium, wherein:
the PSF measurements are made in a grid of calibration points in a field of view (FOV) of the system;
the measuring step comprises positioning an absorber at each of the calibration points and taking an x-ray projection at least once at each said absorber position; and
at each calibration point of the grid, respective PSFs are measured in a plurality of x-ray energy bins;
wherein compressing each PSF comprises fitting each PSF to an ellipse spline.
2. The method of claim 1 , wherein the measuring step comprises performing a scan at each calibration point, each scan comprising multiple x-ray projections taken over a range of projection angles.
3. The method of claim 1 , wherein the measuring of a PSF comprises projecting two or more absorbers having different radii so as to generate a graduated set of two or more respective projections, and wherein the compressing of a PSF comprises extrapolating parameter values from its graduated set of projections.
4. The method of claim 1 , further comprising calculating imputed PSFs for a plurality of points in the FOV that are additional to the calibration points by interpolation of measured PSFs, and wherein the one or more storing operations comprise storing the imputed PSFs in compressed form.
5. The method of claim 1 , wherein:
the one or more storing operations comprise storing respective scans for multiple points in the FOV;
each scan comprises multiple projections of an absorber taken at a fixed absorber position but at multiple projection angles; and
storing a scan comprises storing a compressed PSF for each respective projection angle.
6. The method of claim 5 , further comprising computing imputed PSFs for at least some points in the FOV by interpolation of measured PSFs, and wherein at least some of the stored scans include imputed PSFs.
7. The method of claim 1 , wherein the compressed PSFs are stored in a matrix of entries arranged in rows and columns, and wherein each entry corresponds to a vector of parameter values representing a respective compressed PSF.
8. The method of claim 1 , wherein:
the system has a spatial resolution;
the one or more storing operations comprise storing at least one compressed PSF for every point in a voxelization grid within the FOV; and
the voxelization grid has a pitch of at least the system spatial resolution.
9. A calibration method for an x-ray computerized tomography system, comprising:
measuring at least one point spread function (PSF) at each of a plurality of points;
compressing each PSF; and
in one or more storing operations, storing the compressed PSFs in a computer-accessible storage medium, wherein:
the PSF measurements are made in a grid of calibration points in a field of view (FOV) of the system;
the measuring step comprises positioning an absorber at each of the calibration points and taking an x-ray projection at least once at each said absorber position; and
at each calibration point of the grid, respective PSFs are measured in a plurality of x-ray energy bins;
wherein compressing each PSF comprises representing each PSF by a vector of parameters including a scale parameter, a translational parameter, and at least one shape parameter.
10. The method of claim 9 , wherein the measuring of a PSF comprises projecting two or more absorbers having different radii so as to generate a graduated set of two or more respective projections, and wherein the compressing of a PSF comprises extrapolating parameter values from its graduated set of projections.
11. A calibration method for an x-ray computerized tomography system, comprising:
measuring at least one point spread function (PSF) at each of a plurality of points;
compressing each PSF; and
in one or more storing operations, storing the compressed PSFs in a computer-accessible storage medium, wherein:
the PSF measurements are made in a grid of calibration points in a field of view (FOV) of the system;
the measuring step comprises positioning an absorber at each of the calibration points and taking an x-ray projection at least once at each said absorber position; and
each compressed PSF consists of at most four parameters of a spline fit.
12. The method of claim 11 , wherein compressing each PSF comprises fitting each PSF to an ellipse spline.
13. The method of claim 11 , wherein compressing each PSF comprises representing each PSF by a vector of parameters including a scale parameter, a translational parameter, and at least one shape parameter.
14. The method of claim 11 , wherein the measuring step comprises performing a scan at each calibration point, each scan comprising multiple x-ray projections taken over a range of projection angles.
15. The method of claim 11 , wherein the measuring of a PSF comprises projecting two or more absorbers having different radii so as to generate a graduated set of two or more respective projections, and wherein the compressing of a PSF comprises extrapolating parameter values from its graduated set of projections.
16. The method of claim 11 , further comprising calculating imputed PSFs for a plurality of points in the FOV that are additional to the calibration points by interpolation of measured PSFs, and wherein the one or more storing operations comprise storing the imputed PSFs in compressed form.
17. The method of claim 11 , wherein:
the one or more storing operations comprise storing respective scans for multiple points in the FOV;
each scan comprises multiple projections of an absorber taken at a fixed absorber position but at multiple projection angles; and
storing a scan comprises storing a compressed PSF for each respective projection angle.
18. The method of claim 17 , further comprising computing imputed PSFs for at least some points in the FOV by interpolation of measured PSFs, and wherein at least some of the stored scans include imputed PSFs.
19. The method of claim 11 , wherein the compressed PSFs are stored in a matrix of entries arranged in rows and columns, and wherein each entry corresponds to a vector of parameter values representing a respective compressed PSF.
20. The method of claim 11 , wherein:
the system has a spatial resolution;
the one or more storing operations comprise storing at least one compressed PSF for every point in a voxelization grid within the FOV; and
the voxelization grid has a pitch of at least the system spatial resolution.
21. A calibration method for an x-ray computerized tomography system, comprising:
measuring at least one point spread function (PSF) at each of a plurality of points;
compressing each PSF; and
in one or more storing operations, storing the compressed PSFs in a computer-accessible storage medium, wherein:
the PSF measurements are made in a grid of calibration points in a field of view (FOV) of the system;
the measuring step comprises positioning an absorber at each of the calibration points and taking an x-ray projection at least once at each said absorber position;
the measuring of a PSF comprises projecting two or more absorbers having different radii so as to generate a graduated set of two or more respective projections; and
the compressing of a PSF comprises extrapolating parameter values from its graduated set of projections.