# Temporally Coherent Topological Landscapes for Time-varying Scalar Fields

### Maria Herick, Vladimir Molchanov, Lars Linsen

#### 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.

Download#### 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 - Volume 3: IVAPP,* ISBN 978-989-758-402-2, 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 - 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 - 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