Flow visualisation is an attractive topic in data visualisation, offering great challenges for
research. Very large data sets must be processed, consisting of multivariate data at large …

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

This paper presents the state of the art in the area of topology‐based visualization. It
describes the process and results of an extensive annotation for generating a definition and …

We combine topological and geometric methods to construct a multiresolution
representation for a function over a two-dimensional domain. In a preprocessing stage, we …

Vector field design on surfaces is necessary for many graphics applications: example-based
texture synthesis, nonphotorealistic rendering, and fluid simulation. For these applications …

Flow visualization research has made rapid advances in recent years, especially in the area
of topology-based flow visualization. The ever increasing size of scientific data sets favors …

One of the reasons that topological methods have a limited popularity for the visualization of
complex 3D flow fields is the fact that such topological structures contain a number of …

Near-wall transport is of utmost importance in connecting blood flow mechanics with
cardiovascular disease progression. The near-wall region is the interface for biologic and …

We present a method for the global parametrization of meshes that preserves alignment to a
cross field in input while obtaining a parametric domain made of few coarse axis-aligned …

Vector fields are a common concept for the representation of many different kinds of flow
phenomena in science and engineering. Methods based on vector field topology are known …