In a food processor fitted with a metal blade, or a blender, mix the garlic, ginger, lime juice, turmeric, cumin, salt, red pepper flakes, and yogurt. Blend well and place in a large glass bowl until ready to use.
One hour prior to grilling, place the shrimp into the yogurt marinade.
Soak wooden skewers in warm water to prevent burning. Place the shrimp on the skewers.
Sprinkle the top of shrimp with paprika and grill, 4 to 6 inches from source of heat, on a rack that you have lightly coated with cooking spray for one minute.
Carefully turn, sprinkle with paprika and grill until shrimp are cooked through, another 2 to 3 minutes.
Place shrimp on platter with fresh lime wedges and serve immediately.