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

The recently published standard ISO 25178-2 distinguishes between field parameters and
feature parameters for surface texture characterisation, whereby the main difference …

Renderings of volumetric data have become an important data analysis tool for applications
ranging from medicine to scientific simulation. We propose a volumetric drawing system that …

For time-dependent scalar fields, one is often interested in topology changes of contours in
time. In this paper, we focus on describing how contours split and merge over a certain time …

A digital terrain model is a digital representation of a terrain. Essentially, it captures the
variation of elevation in a surface. The digital part suggests that this representation is …

We describe a simple and efficient algorithm for computing a variant of a contour tree that
describes, for each contour, the number of connected components in the intersection of with …

Contour, split and join trees can be defined as functors acting on the category of scalar
fields, whose morphisms are value-preserving functions. The categorical definition provides …

With the continuous increase in high performance computing capabilities, simulations are
becoming ever larger and more complex, using bigger domains, tracking more variables …

In many applications of terrain analysis, pits or local minima are considered artifacts that
must be removed before the terrain can be used. Most of the existing methods for local …

Recent advances in three dimensional Electron Microscopy (3D EM) have given an
opportunity to look at the structural building blocks of proteins (and nucleic acids) at varying …