Scivis Wissenschaftliche Bildverarbeitung Gmbh

Timo Aspelmeier

Gernot Ebel

Christoph Hoeschen

An image reconstruction method for reconstructing an imagerepresenting a region of investigation within an object includes providing detector data (y) having Poisson random values from an X-ray transmission measurement using an X-ray source and a detector device, the detector data (y) being measured at an i-th of a plurality of different pixel positions of the detector device relative to the object, and reconstructing the imagebased on the detector data (y), the reconstructing step including a procedure of minimizing a functional whereis a current test image used for minimizing the functional F(). The imagerepresents the global minimum of F().

Transmission image reconstruction and imaging using poissonian detector data

An image reconstruction method for reconstructing a tomographic image (f) of a region of investigation within an object (), comprises the steps of providing detector data (y) 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 (&#x3b1;) and the rotation radius (r) of the detector device () relative to the object (), providing a predetermined system matrix Aassigning a j-th voxel of the object () to the i-th detector data (y), and reconstructing the tomographic image (f) based on the detector data (y), said reconstructing step including a procedure of minimizing a functional F(f) depending on the detector data (y) and the system matrix Aand additionally including a sparse or compressive representation of the object () in an orthobasis T, wherein the tomographic image (f) represents the global minimum of the functional F(f). Furthermore, an imaging method and an imaging device using the image reconstruction method are described.

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Goettingen, Germany

Timo Aspelmeier