Splitting (complicated) surfaces is hard
Computational Geometry: Theory and Applications
Multi-scale Representation and Persistency for Shape Description
MDA '08 Proceedings of the 3rd international conference on Advances in Mass Data Analysis of Images and Signals in Medicine, Biotechnology, Chemistry and Food Industry
Measuring and computing natural generators for homology groups
Computational Geometry: Theory and Applications
Exploring uses of persistent homology for statistical analysis of landmark-based shape data
Journal of Multivariate Analysis
Alpha, betti and the megaparsec universe: on the topology of the cosmic web
Transactions on Computational Science XIV
Spaces and manifolds of shapes in computer vision: An overview
Image and Vision Computing
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Written by a computer scientist for computer scientists, this book teaches topology from a computational point of view, and shows how to solve real problems that have topological aspects involving computers. Such problems arise in many areas, such as computer graphics, robotics, structural biology, and chemistry. The author starts from the basics of topology, assuming no prior exposure to the subject, and moves rapidly up to recent advances in the area, including topological persistence and hierarchical Morse complexes. Algorithms and data structures are presented when appropriate.