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Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting wi

Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies

This book provides an accessible yet rigorous introduction to topology and homology focused on the simplicial space. It presents a compact pipeline from the fou

This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, t

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications i