What is the shape of data? How do we describe flows? Can we count by integrating? How do we plan with uncertainty? What is the most compact representation? Thes
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting wi
This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, t
Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from clas
The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a conc
