Differential topology, and specifically Morse theory, provide a suitable setting for formalizing
and solving several problems related to shape analysis. The fundamental idea behind …

With the onset of extreme-scale computing, I/O constraints make it increasingly difficult for
scientists to save a sufficient amount of raw simulation data to persistent storage. One …

The Morse-Smale (MS) complex has proven to be a useful tool in extracting and visualizing
features from scalar-valued data. However, efficient computation of the MS complex for large …

Cities are inherently dynamic. Interesting patterns of behavior typically manifest at several
key areas of a city over multiple temporal resolutions. Studying these patterns can greatly …

Interactions between atoms have a major influence on the chemical properties of molecular
systems. While covalent interactions impose the structural integrity of molecules …

We present numerical simulations of lean hydrogen flames interacting with turbulence. The
simulations are performed in an idealized setting using an adaptive low Mach number …

Morse theory offers a natural and mathematically‐sound tool for shape analysis and
understanding. It allows studying the behavior of a scalar function defined on a manifold …

We are interested in 3-dimensional images given as arrays of voxels with intensity values.
Extending these values to acontinuous function, we study the robustness of homology …

Analysis of the results obtained from material simulations is important in the physical
sciences. Our research was motivated by the need to investigate the properties of a …

The Morse-Smale complex is a useful topological data structure for the analysis and
visualization of scalar data. This paper describes an algorithm that processes all mesh …