including tone reproduction it may be desirable to separate surface reflectance from signal although this is generally an under constrained problem it is possible in accordance with the invention to transform equation 1 to the log domain where the multiplication of r x y and l x y becomes an addition then under specific conditions the two components could be separated an image represented in the logarithmic domain is referred to as a density image the fact that the two entities are added in the logarithmic domain gives a direct result to operate in the log filtering operations such as tone reproduction may be carried out in this domain such processes are referred to herein as dynamorphic filtering the dynamorphic concept combines the illumination reflectance model with the concept of the ghost free dynamic normalization described above illumination results from the conditions present when the image is captured and can change when these conditions change for example when the borehole environment changes illumination variations can be thought of as multiplicative noise and can be reduced by filtering in the log domain however reflectance results from the way the objects in the image reflect light in the case of a resistivity log it is current flowing in the rock and is determined by the intrinsic properties of the object itself which in this theoretical analysis do not change.