Disclosed are methods and apparatus related to an LED-based luminaire (10) that redirects substantially all light output from LEDs (40) thereof off of an interior reflective surface at least once prior to the light exiting the LED-based luminaire (10). In some embodiments, an LED-based luminaire (10) is provided that includes a housing having a light output opening (20), a reflective interior surface, a diffusing cover lens (30) across the light output opening (20), and a plurality of optics (50) that are configured to redirect light output from a plurality of LEDs (40) within the lighting fixture (10).