Emerging Challenges in Computational Topology
Marshall Bern, David Eppstein, Pankaj K. Agarwal, Nina Amenta, Paul, Chew, Tamal Dey, David P. Dobkin, Herbert Edelsbrunner, Cindy Grimm, Leonidas, J. Guibas, John Harer, Joel Hass, Andrew Hicks, Carroll K. Johnson, Gilad, Lerman, David Letscher, Paul Plassmann, Eric Sedgwick

TL;DR
This paper reports on a workshop that identified key challenges in computational topology, highlighting important open problems and research directions in the field.
Contribution
It provides a comprehensive overview of current challenges and future research directions in computational topology based on expert discussions.
Findings
Identification of critical open problems in computational topology
Highlighting the need for new algorithms and methods
Guidance for future research in the field
Abstract
Here we present the results of the NSF-funded Workshop on Computational Topology, which met on June 11 and 12 in Miami Beach, Florida. This report identifies important problems involving both computation and topology.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Computer Graphics and Visualization Techniques · Robotic Path Planning Algorithms
