The only source of information here is the image irradiance
equation that ties intensity
to the reflectance map
:

This is a 1st-order PDE with two unknowns:
and
.
The reflectance map R depends on surface orientation
,
illumination, and surface reflectance properties.
R can be derived analytically from known
, or measured
empirically, with a calibration object.
Must make assumptions to solve the image irradiance equation.