The pilot reported that the airplane accelerated normally on the takeoff roll, became airborne between 1,000 and 1,200 feet down the 2,500-foot runway, had a positive rate of climb, but wasn’t climbing as he would have expected. The pilot elected to abort the takeoff and reduced power, but then realized that he did not have enough runway remaining to land. As the pilot was adding power to abort the landing the airplane contacted the ground, departed the runway and came to rest about one-quarter mile beyond the end of the runway after colliding with a log. The pilot stated that he felt the optical illusion of rising terrain and a rising runway caused him to feel that the airplane was not climbing adequately.