" This library is useful for practitioners, and is an excellent tool for those entering the field: it
is a set of computer vision algorithms that work as advertised."-William T. Freeman …

Combining concepts from topology and algorithms, this book delivers what its title promises:
an introduction to the field of computational topology. Starting with motivating problems in …

There is a growing need to be able to accurately and efficiently search visual data sets, and
in particular, 3D shape data sets. This paper proposes a novel technique, called Topology …

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

A survey of the development of the marching cubes algorithm [W. Lorensen, H. Cline,
Marching cubes: a high resolution 3D surface construction algorithm. Computer Graphics …

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 system paper presents the Topology ToolKit (TTK), a software platform designed for the
topological analysis of scalar data in scientific visualization. While topological data analysis …

The emerging field of computational topology utilizes theory from topology and the power of
computing to solve problems in diverse fields. Recent applications include computer …

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 …

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 …