We describe a new data parallel algorithm for raytracing. Load balancing is achieved through the use of processor allocation, which continually remaps available resources. In this manner heterogeneous data bases are handled without the usual problems of low resource usage. The proposed approach adapts well to both extremes: a small number of rays and a large database; a large number of rays and a small database. The algorithm scales linearly|over a wide range|in the number of rays and available processors. We present an implementation on the Connection Machine CM2 system and provide timings.