A Short Course in Computational Geometry and Topology

Focusing on computational geometry and topology, this monograph begins with Voronoi diagrams and Delaunay triangulations, then explores alpha complexes significant in biological contexts. The core of the text delves into homology theory and its computational aspects, particularly persistence theory, which is vital for applications like shape reconstruction. Aimed at researchers and practitioners in mathematics, biology, neuroscience, and computer science, it also serves as a valuable resource for graduate students in these disciplines.