1. An image processing apparatus comprising: a first division circuit that divides an input image into images composed of luminance signals of a plurality of bands that make up a Laplacian pyramid; a plurality of luminance noise suppression circuits that each apply noise suppression to, out of the images divided by the first division circuit, an image composed of luminance signals of a corresponding band; an addition circuit that adds images output from the plurality of luminance noise suppression circuits; a second division circuit that divides the input image into images composed of color signals of a plurality of bands that make up a Gaussian pyramid; a plurality of color noise suppression circuits that each apply noise suppression to, out of the images divided by the second division circuit, an image composed of color signals of a corresponding band; and a compositing circuit that composites images output from the plurality of color noise suppression circuits at a ratio based on the images.