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

Current compression schemes for floating-point data commonly take fixed-precision values
and compress them to a variable-length bit stream, complicating memory management and …

This system paper presents the Topology ToolKit (TTK), a software platform designed for the
topological analysis of scalar data in scientific visualization. While topological data analysis …

An elementary question in porous media research is in regard to the relationship between
structure and function. In most fields, the porosity and permeability of porous media are …

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 …

We present an algorithm for determining the Morse complex of a two or three-dimensional
grayscale digital image. Each cell in the Morse complex corresponds to a topological …

The ever-growing amount of data stored in digital databases raises the question of how to
organize and extract useful knowledge. This paper outlines some current developments in …

Large-scale simulations are increasingly being used to study complex scientific and
engineering phenomena. As a result, advanced visualization and data analysis are also …

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 …

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 …