1. A semiconductor radiation detection apparatus that has a semiconductor detector including a semiconductor crystal, a plurality of segmented electrodes provided on a first surface of said crystal, and from one to a plurality of electrodes provided on a second surface of said crystal and detects, when an interaction between radiation and the semiconductor crystal occurs multiple times, the positions of the multiple interactions based on a signal obtained from the semiconductor detector, comprising: storing means for storing beforehand reference waveforms, which are waveforms of signals that will be obtained from said segmented electrodes when a single interaction occurs, for a plurality of positions in said crystal; energy calculation means for calculating energy deposit values at the interaction positions based on signals obtained from segmented electrodes corresponding to the interaction positions; synthesized waveform calculation means for synthesizing reference waveforms corresponding to two candidate points of interaction positions selected arbitrarily in said crystal at a ratio equal to a ratio of said energy deposit values, for a plurality of combinations of two candidate points; and interaction position detection means for comparing the synthesized waveforms synthesized by said synthesized waveform calculation means with a waveform obtained from said segmented electrode and determining that candidate points from which the most similar waveform is obtained are the interaction positions.