1. An image processing apparatus comprising: a smoothed-image generating unit that generates a plurality of smoothed images obtained by smoothing an original image with a plurality of degrees of smoothing, respectively; an illumination-image generating unit that generates an illumination image having pixel values of an illumination component of the original image by using the plurality of smoothed images that undergo weighting in which at least one of the smoothed images is assigned a different weight; a reflectance-image generating unit that generates a reflectance image on a basis of the original image and the illumination image, the reflectance image having pixel values of a reflectance component of the original image; and a reproduced-image generating unit that generates a reproduced image at least on a basis of the reflectance image and degree-of-enhancement information indicating a degree of enhancement of the reflectance component of the original image, the reproduced image being reproduced to enhance visibility of the original image.