The invention provides a multi-scale reconstruction method using an iteration reconstruction method and an analytic reconstruction method. An X-ray computer fault pick-up device is provided. The method comprises reconstructing a first image using raw data obtained by the X-ray computer fault pick-up device, generating first re-projection data according to the first image, generating first differential data according to the raw data and the first differential data, generating a first interpolation image related to a concern area by using an image of the concern area in the first image,and combining a first detailed image which is obtained by using reconstruction of the first differential data and the first detailed image to produce a first output image.