An image reconstructing apparatus creates a reconstructed image for every calculation operation by performing predetermined repetitive calculation by iterative reconstruction for a plurality of images obtained by acquiring an object from different angles, extracts at least one reconstructed image under a predetermined condition from the created reconstructed images, displays on a display unit information corresponding to the extracted reconstructed images and information corresponding to the extracted reconstructed image, selects at least one reconstructed image in accordance with an instruction of an operator on the display unit, and outputs the selected reconstructed image.