The pilot was taking off with a right crosswind. As the tail wheel lifted off the runway, the airplane started veering to the left. He added right rudder and aileron in an attempt to correct back to the runway heading. As he was advancing the power through the mid-range, the airplane continued veering to the left. He added full power, and tried to lift off before departing the runway surface. As the airplane exited the runway, the pilot reduced the power to idle. The airplane was slowing to a stop when it encountered a small dip in the terrain and nosed over, resulting in substantial damage to the wings and rudder. The pilot reported no mechanical anomalies with the airframe, flight controls, or engine. The pilot noted that shortly after the accident the winds picked up to 20 knots, and opined that he possible encountered a strong gust.