Abstract: In an embodiment of the present disclosure, in order to raise the reproducibility of a reconstructed tomographic image without increasing a calculation load, any one among two directions adjacent to two boundaries that demarcate an angular scan range is offset from any one among coordinate axes of a two-dimensional tomographic image of N pixels×N pixels, and the angle of the offset is made to be above 0 degrees and under 90 degrees or above ?90 degrees and under 0 degrees. A detection device, which includes N detection elements, performs detection in each detection direction, and a first vector having N×N elements is obtained from a detection signal obtained by the detection device in a detection operation. A discrete Inverse Radon transform matrix is applied to the first vector to obtain a second vector having N×N elements. The second vector is de-vectorized to obtain image data for a two-dimensional tomographic image of N pixels×N pixels.

Abstract: In an embodiment of the present disclosure, in order to raise the reproducibility of a reconstructed tomographic image without increasing a calculation load, any one among two directions adjacent to two boundaries that demarcate an angular scan range is offset from any one among coordinate axes of a two-dimensional tomographic image of N pixels×N pixels, and the angle of the offset is made to be above 0 degrees and under 90 degrees or above ?90 degrees and under 0 degrees. A detection device, which includes N detection elements, performs detection in each detection direction, and a first vector having N×N elements is obtained from a detection signal obtained by the detection device in a detection operation. A discrete Inverse Radon transform matrix is applied to the first vector to obtain a second vector having N×N elements. The second vector is de-vectorized to obtain image data for a two-dimensional tomographic image of N pixels×N pixels.