Massive simulations and arrays of sensing devices, in combination with increasing
computing resources, have generated large, complex, high-dimensional datasets used to …

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 …

Topological simplification of scalar and vector fields is well-established as an effective
method for analysing and visualising complex data sets. For multivariate (alternatively, multi …

We propose a novel method for the computation of Jacobi sets in 2D domains. The Jacobi
set is a topological descriptor based on Morse theory that captures gradient alignments …

Searching similarity between a pair of shapes or data is an important problem in data
analysis and visualization. The problem of computing similarity measures using scalar …

The problem of computing topological distance between two scalar fields based on Reeb
graphs or contour trees has been studied and applied successfully to various problems in …

The Jacobi set of a bivariate scalar field is the set of points where the gradients of the two
constituent scalar fields align with each other. It captures the regions of topological changes …

A wide range of data that appear in scientific experiments and simulations are multivariate or
multifield in nature, consisting of multiple scalar fields. Topological feature search of such …

Shape matching or retrieval is an important problem in computer graphics and data analysis.
Topological techniques based on Reeb graphs and persistence diagrams have been …

Interactive axis extraction for high-dimensional data visualization has been demonstrated to
be powerful in high-dimensional data exploring and understanding. The extracted axes help …