An X-ray computerized tomography apparatus for acquiring views by helical scanning, comprising:
- means for obtaining a tomographic image at a first slice position by reconstructing views which are obtained by interpolating 360.degree. views in a first range next to the first slice position in a backward direction in which a slice position number decreases and 360.degree. views in a second range next to the first slice position in a forward direction in which the slice position number increases;
- means for obtaining a first backward image by reconstructing the views in the first range without interpolation processing;
- means for obtaining a first forward image by reconstructing the views in the second range without interpolation processing;
- means for obtaining a second backward image by reconstructing a view obtained by subtracting a view at a position separated from the first slice position by 360.degree. in the backward direction from a view at the first slice position, and adding the result of reconstruction to the first backward image;
- means for obtaining a second forward image by reconstructing a view obtained by subtracting a view at the first slice position from a view at a position separated from the first slice position by 360.degree. in the forward direction, and adding the result of reconstruction to the first forward image;
- and
- means for obtaining a tomographic image at a second slice position which is separated from the first slice position by 360.degree. in the forward direction by multiplying a difference between the second forward image and the second backward image by a coefficient, and adding the result of multiplication to the tomographic image at the first slice position.