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

Given a continuous function f: X → R f: X→ R and a cover II of its image by intervals, the
Mapper is the nerve of a refinement of the pullback cover f^-1 (I) f-1 (I). Despite its success in …

Due to advances in high-performance computing technologies, computer graphics
techniques—especially those related to mesh simplification—have been noticeably …

To avoid excessive details, thus omitting less important content, of three‐dimensional (3D)
geometric models, this study proposes a fast mesh simplification method based on an …

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 …

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 …

The Reeb space is a topological structure which is a generalization of the notion of the Reeb
graph to multi-fields. Its effectiveness has been established in revealing topological features …

The Fukushima nuclear accident of 2011 raised awareness of the importance of radioactive
deposition processes, especially for proposing aerosol measures against possible air …