PDF 1. Introduction. g σ Ī» > - Purdue University ERROR BOUNDS FOR FINITE-DIFFERENCE METHODS FOR RUDIN-OSHER-FATEMI IMAGE SMOOTHING∗ JINGYUE WANG† AND BRADLEY J. LUCIER‡ Abstract. We bound the difference between the solution to the continuous Rudin-Osher-Fatemi image smoothing model and the solutions to various finite-difference approximations to this model.