An image processing apparatus includes the following elements. An area designating unit designates an area to be processed from an input image. A delay amount setting unit sets an amount of delay in the area to be processed according to a distance from a reference position in the image. An angular velocity calculating unit calculates angular velocities at a predetermined position in images. An angular velocity storage unit stores records of the angular velocities calculated by the angular velocity calculating unit. A reading unit reads an angular velocity calculated at a time that is prior to a current time by the amount of delay set by the delay amount setting unit from the angular velocity storage unit when the image is changed within the area to be processed. A changing unit changes the image within the area to be processed using the angular velocity read by the reading unit.