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We present a program to study the galaxy luminosity function (GLF) of the LeoI and Coma I Groups at ~10 Mpc. We have surveyed over seven square degrees inLeo I and ~11 square degrees in Coma I. In this paper, we detail the method wehave developed and implemented for identifying on morphological groundslow-surface-brightness, M_R < -10 dwarf galaxies at a distance of 10 Mpc. Wealso describe extensive Montecarlo simulations of artificial galaxies which weuse to tune our detection algorithms and evaluate our detection efficiency andparameter recovery as a function of mu_R(0) and R_T. We find for a sub-set ofour Leo I data that at the 90% completeness level we can detect dwarfscomparable to Antlia and Sculptor. Finally, we describe preliminary follow-upobservations which confirm we are detecting dwarf spheroidals in Leo I at 10Mpc.

The z = 0 Galaxy Luminosity Function. I. Techniques for Identification of Dwarf Galaxies at ∼10 Mpc