Temporally Coherent Topological Landscapes for Time-varying Scalar Fields

Maria Herick, Vladimir Molchanov, Lars Linsen

2020

Abstract

Topological structures capture the main features of scalar fields. Topological landscapes have been proposed for an intuitive depiction of n-dimensional scalar field topology using 2D landscapes with matching topology. For time-varying scalar fields, each time step could be visualized by a 2D landscape, but there would be no temporal coherence among the landscapes. We propose the concept of a time-varying contour tree that is obtained by merging contour trees of all time steps into a meta data structure. The time-varying contour tree can be exploited to generate temporally coherent topological landscapes. Visual analysis of time-varying scalar field topology is, then, supported by animating landscapes over time or by volume rendering a stack of temporal slices that represent color-coded landscapes.

Paper Citation

in Harvard Style

Herick M., Molchanov V. and Linsen L. (2020). Temporally Coherent Topological Landscapes for Time-varying Scalar Fields. In Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 3: IVAPP; ISBN 978-989-758-402-2, SciTePress, pages 54-61. DOI: 10.5220/0008956300540061

in Bibtex Style

@conference{ivapp20,
author={Maria Herick and Vladimir Molchanov and Lars Linsen},
title={Temporally Coherent Topological Landscapes for Time-varying Scalar Fields},
booktitle={Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 3: IVAPP},
year={2020},
pages={54-61},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008956300540061},
isbn={978-989-758-402-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 3: IVAPP
TI - Temporally Coherent Topological Landscapes for Time-varying Scalar Fields
SN - 978-989-758-402-2
AU - Herick M.
AU - Molchanov V.
AU - Linsen L.
PY - 2020
SP - 54
EP - 61
DO - 10.5220/0008956300540061
PB - SciTePress