Constrained reconstruction model to restore missing wedge from multiple observations with limited range projections

A computing device for reconstructing an image from plural copies, the computing device comprising:

• an interface for receiving a series of measured projections pi of a target object h and associated background;
• and
• a processor connected to the interface and configured to,
• iteratively reconstruct images hi(k) of the target object h and images gi(k) of the background of the target object for each member i of the series of the measured projections pi for plural iterations k;
• and
• generate a final image of the target object h, based on the reconstructed images hi, when a set condition is met,
• wherein the index i describes how many elements are in the series of projections pi, and the iteration k indicates how many times the reconstruction of the image target is performed.

A non-transitory computer readable medium including computer executable instructions, wherein the instructions, when executed by a processor, implement instructions for image reconstruction from plural copies, the instructions comprising:

• receiving a series of measured projections pi of a target object h and associated background;
• iteratively reconstructing images hi(k) of the target object and images gi(k) of the background of the target object for each member i of the series of the measured projections pi for plural iterations k;
• and
• generating a final image of the target object h, based on the reconstructed images hi, when a set condition is met,
• wherein the index i describes how many elements are in the series of projections pi, and the iteration k indicates how many times the reconstruction of the image target is performed.