Abstract: An image reconstruction method for reconstructing an image fmin representing a region of investigation within an object includes providing detector data (yi) having Poisson random values from an X-ray transmission measurement using an X-ray source and a detector device, the detector data (yi) being measured at an i-th of a plurality of different pixel positions of the detector device relative to the object, and reconstructing the image fmin based on the detector data (yi), the reconstructing step including a procedure of minimizing a functional F ? ( f _ ) = 1 k ? ? i = 1 k ? ? ( ? i - y i ? log ? ? ? i ) + a ? ? T - 1 ? f _ ? p where f is a current test image used for minimizing the functional F(f). The image fmin represents the global minimum of F(f).

Abstract: An image reconstruction method for reconstructing an image fmin representing a region of investigation within an object includes providing detector data (yi) having Poisson random values from an X-ray transmission measurement using an X-ray source and a detector device, the detector data (yi) being measured at an i-th of a plurality of different pixel positions of the detector device relative to the object, and reconstructing the image fmin based on the detector data (yi), the reconstructing step including a procedure of minimizing a functional F ? ( f _ ) = 1 k ? ? i = 1 k ? ? ( ? i - y i ? log ? ? ? i ) + a ? ? T - 1 ? f _ ? p where f is a current test image used for minimizing the functional F(f). The image fmin represents the global minimum of F(f).

Abstract: An image reconstruction method for reconstructing a tomographic image (fj) of a region of investigation within an object (1), comprises the steps of providing detector data (yi) comprising Poisson random values measured at an i-th of a plurality of different positions, e.g. i=(k,l) with pixel index k on a detector device and angular index l referring to both the angular position (?l) and the rotation radius (rl) of the detector device (10) relative to the object (1), providing a predetermined system matrix Aij assigning a j-th voxel of the object (1) to the i-th 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 (1) in an orthobasis T, wherein the tomographic image (fj) represents the global minimum of the functional F(f).

Abstract: An image reconstruction method for reconstructing a tomographic image (fj) of a region of investigation within an object (1), comprises the steps of providing detector data (yi) comprising Poisson random values measured at an i-th of a plurality of different positions, e.g. i=(k,l) with pixel index k on a detector device and angular index l referring to both the angular position (?l) and the rotation radius (rl) of the detector device (10) relative to the object (1), providing a predetermined system matrix Aij assigning a j-th voxel of the object (1) to the i-th 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 (1) in an orthobasis T, wherein the tomographic image (fj) represents the global minimum of the functional F(f).

Abstract: A tomography device, particularly for single photon emission computed tomography (SPECT), comprises a multi-pinhole collimator and a detector for detecting gamma quanta or photons that penetrate the multi-pinhole collimator. In a tomographic method using the device, the distance between the object and the multi-pinhole collimator is selected to be smaller than the distance between the multi-pinhole collimator and the surface of the detector.

Abstract: The invention relates to a tomography device and method, particularly for single photon emission computed tomography (SPECT). The device for carrying out a tomography method, especially for carrying out a single photon tomography, comprises a multi-pinhole collimator and a detector for detecting gamma quanta or photons that penetrate the multi pinhole collimator. According to the device for carrying out the tomographic method, the distance between the object and the multi-pinhole collimator is selected to be smaller than the distance between the multi-pinhole collimator and the surface of the detector. The invention provides a device and a method with which the desired result can be achieved with a high spatial resolution and sensitivity.