Dupuy, JonathanYuksel, Cem and Membarth, Richard and Zordan, Victor2020-10-302020-10-3020202577-6193https://doi.org/10.1145/3406186https://diglib.eg.org:443/handle/10.1145/3406186We introduce the concurrent binary tree (CBT), a novel concurrent representation to build and update arbitrary binary trees in parallel. Fundamentally, our representation consists of a binary heap, i.e., a 1D array, that explicitly stores the sum-reduction tree of a bitfield. In this bitfield, each one-valued bit represents a leaf node of the binary tree encoded by the CBT, which we locate algorithmically using a binary-search over the sum-reduction. We show that this construction allows to dispatch down to one thread per leaf node and that, in turn, these threads can safely split and/or remove nodes concurrently via simple bitwise operations over the bitfield. The practical benefit of CBTs lies in their ability to accelerate binary-tree-based algorithms with parallel processors. To support this claim, we leverage our representation to accelerate a longest-edgebisection- based algorithm that computes and renders adaptive geometry for large-scale terrains entirely on the GPU. For this specific algorithm, the CBT accelerates processing speed linearly with the number of processors.Computing methodologiesMassively parallel algorithmsRendering.binary treeconcurrentparallelbinary heaplongest edge bisectionGPUrealtime10.1145/3406186