Digital terrain analysis (DTA) is one of the most important contents in the research of
geographical information science (GIS). However, on the basis of the digital elevation model …

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

Computing contour trees in all dimensions Page 1 Computational Geometry 24 (2003) 75–94
www.elsevier.com/locate/comgeo Computing contour trees in all dimensions Hamish Carra …

This paper gives an overview of the progress which has been made in surface metrology
over the past ten years. It updates the surface classification system, and discusses the …

Reeb graphs are compact shape descriptors which convey topological information related to
the level sets of a function defined on the shape. Their definition dates back to 1946, and …

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 …

The authors introduce the contour spectrum, a user interface component that improves
qualitative user interaction and provides real-time exact quantification in the visualization of …

For 2D or 3D meshes that represent a continuous function to the reals, the contours—or
isosurfaces-of a specified value are an important way to visualize it. To find such contours, a …

This keynote paper gives an overview of emerging technologies of feature-based
characterisation, for surface topographies having features. It is complementary to …

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