We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
Herbert Edelsbrunner, David Letscher, Afra Zomorod...
Many applications such as topology repair, model editing, surface parameterization, and feature recognition benefit from computing loops on surfaces that wrap around their `handle...
Tamal K. Dey, Kuiyu Li, Jian Sun, David Cohen-Stei...
We propose a technique for performing view-dependent geometry and topology simplifications for level-of-detailbased renderings of large models. The algorithm proceeds by preproces...
Scalar functions defined on a topological space Ω are at the core of many applications such as shape matching, visualization and physical simulations. Topological persistence i...