We present the initial results from a deep , multi-band photometric survey of selected high Galactic latitude redshift fields .
Previous work using the photographic data of Koo and Kron demonstrated that the distribution of galaxies in the multi-dimensional flux space U,B,R, \& I is nearly planar .
The position of a galaxy within this plane is determined by its redshift , luminosity and spectral type ( [ Connolly et al . 1995 ] ) .
Using recently acquired deep CCD photometry in existing , published redshift fields , we have redetermined the distribution of galaxies in this four-dimensional magnitude space .
Furthermore , from our CCD photometry and the published redshifts , we have quantified the photometric-redshift relation within the standard AB magnitude system .
This empirical relation has a measured dispersion of \sigma _ { z } \approx 0.02 for z < 0.4 .
With this work we are reaching the asymptotic intrinsic dispersions ( \sigma _ { z } \approx 0.016 for z < 0.4 ) that were predicted from simulated distributions of galaxy colors .
This result will prove useful in providing estimated redshifts for large photometric surveys , as well as improve the sampling of specific redshift regions for spectroscopic surveys through the use of an estimated redshift selection criteria .