In a large bowl, mix together tomatoes, cucumbers, red and green peppers, celery, onions, chili powder, and garlic.
Using a food processor or blender, pulse half the mixture until there are no lumps. Spoon liquid mixture into a separate bowl and repeat pulsing with other half of chunky mixture. Spoon the rest of the mixture into the bowl and top with tomato juice; mix well.
Wrap with plastic wrap and place in refrigerator for at least 1 hour. When ready to serve, garnish with lime wedges.