1. An image processing apparatus comprising: an image processor configured to process for separating a video stream into an motion image and a still image, to buffer a predetermined number of frames of the motion image, and to buffer a predetermined number of frames of the still image, the video stream generated by a camera at every frame period; a timing manager configured to store the motion image processed by the image processor temporarily and to output the motion image at a preset time of a frame period; and in response to a capture request time point, a controller configured to control the image processor: to process a current frame of the motion image in response to the capture request and to output the current frame of the motion image on a display, to process one of the buffered frames of the still image in response to the capture request, when the processing of the current frame of the motion image is completed, and to process to a next frame of the motion image, wherein the controller is further configured to control the timing manager to store the next frame of the motion image processed by the image processor upon completion of processing one of the buffered frames of the still image.