BE35 pilot reported a critical ground conflict involving an opposite direction aircraft during takeoff.

Narrative

Announced and taxied to runway XX. No other aircraft in the pattern and none seen on the ground maneuvering for departure. Announced and pulled out onto Runway XX for departure and remain in the pattern for landing practice. Went to full throttle and was accelerating when I saw a light in the distance on the runway which appeared to be an aircraft landing light; departing on Runway XY. Immediately pulled throttle; hit brakes and considered a diversion off the runway into the grass and announced to the other aircraft that we were in conflict. Pilot acknowledged with 'oh; ok' but continued takeoff and climbed out with a turn to the right immediately. He had not announced his departure and could not see him on the other end of the runway due to a low spot in the runway at the south end. (I would note that this will be corrected next year with a complete rebuild of the runway; including raising that end of the runway).My take on this is obviously the need for the self announce process and use of radios in non- towered airports. This was one too close that is easily avoided by use of radios; which this pilot did not do.Contributing factor was not being able to see aircraft at the opposite end of the runway due to low spot in the departure end of Runway XY.