1. A grid foil shadow removing method for a radiographic apparatus for obtaining fluoroscopic images and having a synchronous grid with grid foil strips arranged at regular intervals so that grid foil shadows fall on middles of pixels which detect radiation, the method comprising: an extracting step including a grouping step for dividing pixels forming a fluoroscopic image into groups each having a predetermined number of pixels within each row in a direction of row, a most influenced pixel selecting step for selecting a pixel most influenced by one of the grid foil shadows in each group as most influenced pixel, a voting step for casting, with the most influenced pixel in each group serving as a reference, a predetermined number of votes for other pixels spaced apart forward and backward in the direction of row, and an electing step for electing a pixel given a maximum number of votes within each group as an uninfluenced pixel which is free from influences of a foil shadow of the grid; an approximate fluoroscopic image calculating step for obtaining an approximate fluoroscopic image by carrying out an interpolation process based on detection signal values of the uninfluenced pixels; a grid foil shadow image calculating step for obtaining a grid foil shadow image based on a difference between the fluoroscopic image and the approximate fluoroscopic image; a foil shadow standard image calculating step for obtaining a foil shadow standard image by averaging the grid foil shadow image in a longitudinal direction of the grid foil shadows; and a foil shadow removing step for removing the grid foil shadows from the fluoroscopic image based on a difference between the fluoroscopic image and the foil shadow standard image, thereby to obtain a foil shadow removed image.