Topological analysis of discrete scalar data

D Günther - 2012 - diglib.eg.org
This thesis presents a novel computational framework that allows for a robust extraction and
quantification of the Morse-Smale complex of a scalar field given on a 2-or 3-dimensional …

Certified computation of planar Morse-Smale complexes

G Vegter, A Chattopadhyay, CK Yap - Proceedings of the twenty-eighth …, 2012 - dl.acm.org
The Morse-Smale complex is an important tool for global topological analysis in various
problems of computational geometry and topology. Algorithms for Morse-Smale complexes …

Data structures and algorithms for topological analysis

JM Cane, GM Tzoumas, D Michelucci… - 2014 Science and …, 2014 - ieeexplore.ieee.org
One of the steps of geometric modeling is to know the topology and/or the geometry of the
objects considered. This paper presents different data structures and algorithms used in this …

[PDF][PDF] Certified Computation of Morse-Smale Complexes on Implicit Surfaces

A Chattopadhyay, G Vegter - eurocg11.inf.ethz.ch
Abstract The Morse-Smale complex is an important tool for global topological analysis in
various problems in computational topology and data analysis. A certified algorithm for …