Tomographic imaging using poissonian detector data

Computer program residing on a non-transitory computer-readable medium, with a program code being executable by a machine to perform an image reconstruction method for reconstructing a tomographic image (fj)of a region of investigation within an object, the method comprising:

• providing detector data (yi) comprising Poisson random values measured at an i-th of a plurality of different positions relative to the object,
• providing a predetermined system matrix Aij assigning a j-th voxel of the object to the i-th detector data (yi), wherein the system matrix Aij defines the detector data (yi) as linear combinations of the original object data and is determined by geometric or physical features of an imaging device used for collecting said detector data (yi), and
• reconstructing the tomographic image (fj) based on the detector data (yi), said reconstructing step including a procedure of minimizing a functional F(f) depending on the detector data (yi) and the system matrix Aij and additionally including a sparse or compressive representation of the object in an orthobasis T, wherein the tomographic image (fj) represents a global minimum of the functional F(f).

Apparatus comprising a non-transitory computer-readable storage medium containing program instructions being executable by a machine to perform an image reconstruction method for reconstructing a tomographic image (fj)of a region of investigation within an object, the method including:

• providing detector data (yi) comprising Poisson random values measured at an i-th of a plurality of different positions relative to the object,
• providing a predetermined system matrix Aij assigning a j-th voxel of the object to the i-th detector data (yi), wherein the system matrix Aij defines the detector data (yi) as linear combinations of the original object data and is determined by geometric or physical features of an imaging device used for collecting said detector data (yi), and
• reconstructing the tomographic image (fj) based on the detector data (yi), said reconstructing step including a procedure of minimizing a functional F(f) depending on the detector data (yi) and the system matrix Aij and additionally including a sparse or compressive representation of the object in an orthobasis T , wherein the tomographic image (fj)represents a global minimum of the functional F(f).