  We introduce the concept of a fiber bundle color space, which acts according
to the psychophysiological rules of trichromacy perception of colors by a
human. The image resides in the fiber bundle base space and the fiber color
space contains color vectors. Further we propose the decomposition of color
vectors into spectral and achromatic parts. A homomorphism of a color image and
constructed two-dimensional vector field is demonstrated that allows us to
apply well-known advanced methods of vector analysis to a color image, i.e.
ultimately give new numerical characteristics of the image. Appropriate image
to vector field forward mapping is constructed. The proposed backward mapping
algorithm converts a two-dimensional vector field to color image. The type of
image filter is described using sequential forward and backward mapping
algorithms. An example of the color image formation on the base of
two-dimensional magnetic vector field scattered by a typical pipe line defect
is given.
