1. An image processing system comprising: a photographing apparatus; and a processing apparatus, the photographing apparatus comprising: a plurality of light-emitting devices for illuminating a subject and emitting light with the characteristics of a plurality of spectroscopic distributions independently varied in at least a visible-light area; an image pick-up optical system which forms a subject image illuminated by the light-emitting devices; an image pick-up device unit which picks-up the subject image formed by the image pick-up optical system and outputs an image signal; and a control unit which controls an operation for capturing a plurality of subject spectroscopic images by selectively lighting-on the plurality of light-emitting devices in accordance with the characteristics of the spectroscopic distributions and by varying the selection of the plurality of light-emitting devices with the synchronization of the light-on operation and the operation for picking-up the image by the image pick-up device by a plurality of times, the processing apparatus comprising: a calculating unit which performs desired image calculation from the image signal.