1. An image capturing apparatus for capturing a moving image, the apparatus comprising: an image capturing unit configured to capture a moving image, the moving image including a plurality of frames of images alternately captured with different exposures which include a correct exposure and an incorrect exposure; and a filter unit configured to perform low pass filter processing on a frame of an image with the incorrect exposure; an adjustment unit configured to perform processing to decrease the low frequency components on a frame of an image with the correct exposure; and a composition unit configured to input an output image of the filter unit and an output image of the adjustment unit, and to generate a high dynamic range image composed of the output image of the filter unit and the output image of the adjustment unit.