**Parallel Computation of Alpha Complexes for Biomolecules**

**Talha Bin Masood, Tathagata Ray and Vijay Natarajan.**

*Computational Geometry : Theory and Applications*, 90, 2020, 1 - 17.

[Elsevier link]

*SoCG 2020: Symposium on Computational Geometry*2020, 17:1 - 17:16.

#### Abstract

The alpha complex, a subset of the Delaunay triangulation, has been extensively used as the underlying representation for biomolecular structures. We propose a GPU-based parallel algorithm for the computation of the alpha complex, which exploits the knowledge of typical spatial distribution and sizes of atoms in a biomolecule. Unlike existing methods, this algorithm does not require prior construction of the Delaunay triangulation. The algorithm computes the alpha complex in two stages. The first stage proceeds in a bottom-up fashion and computes a superset of the edges, triangles, and tetrahedra belonging to the alpha complex. The false positives from this estimation stage are removed in a subsequent pruning stage to obtain the correct alpha complex. Computational experiments on several biomolecules demonstrate the superior performance of the algorithm, up to a factor of 50 when compared to existing methods that are optimized for biomolecules.[PDF]

### Conference Version

Parallel Computation of Alpha Complexes for Biomolecules*Intl. Symposium on Computational Geometry*, 2020, 17:1 - 17:16.

ArXiv version: https://arxiv.org/abs/1908.05944