A method and apparatus for sample adaptive offset without sign coding. The present invention is to restrain the generation of a fissure by fixing the proceeding direction of etching in one direction to make a peeled layer warp in one direction in accordance with the proceeding of etching. The MOS transistor circuit is disposed near a cross-over point of a scanning line and a signal line, and includes a first MOS transistor having a gate electrode connected to the scanning line, and one of a source electrode and a drain electrode connected to the signal line. A paid operation job is selected in precedence to a trial operation job. At least a portion of the resin layer located in the gap has a light blocking property. One method is operable within a processing system to remove noise from a digital image by generating a plurality of lookup tables of pixel values based on a plurality of comparisons of the digital image to offsets of the digital image, generating integral images from the lookup tables, and computing distances between patches of pixels in the digital image from the integral images.