# Particle-Wise Higher-Order SPH Field Approximation for DVR

### Jonathan Fischer, Martin Schulze, Paul Rosenthal, Lars Linsen

#### 2024

#### Abstract

When employing Direct Volume Rendering (DVR) for visualizing volumetric scalar fields, classification is generally performed on a piecewise constant or piecewise linear approximation of the field on a viewing ray. Smoothed Particle Hydrodynamics (SPH) data sets define volumetric scalar fields as the sum of individual particle contributions, at highly varying spatial resolution. We present an approach for approximating SPH scalar fields along viewing rays with piecewise polynomial functions of higher order. This is done by approximating each particle contribution individually and then efficiently summing the results, thus generating a higher-order representation of the field with a resolution adapting to the data resolution in the volume.

Download#### Paper Citation

#### in Harvard Style

Fischer J., Schulze M., Rosenthal P. and Linsen L. (2024). **Particle-Wise Higher-Order SPH Field Approximation for DVR**. In *Proceedings of the 19th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP*; ISBN 978-989-758-679-8, SciTePress, pages 717-725. DOI: 10.5220/0012460500003660

#### in Bibtex Style

@conference{ivapp24,

author={Jonathan Fischer and Martin Schulze and Paul Rosenthal and Lars Linsen},

title={Particle-Wise Higher-Order SPH Field Approximation for DVR},

booktitle={Proceedings of the 19th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP},

year={2024},

pages={717-725},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012460500003660},

isbn={978-989-758-679-8},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 19th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: IVAPP

TI - Particle-Wise Higher-Order SPH Field Approximation for DVR

SN - 978-989-758-679-8

AU - Fischer J.

AU - Schulze M.

AU - Rosenthal P.

AU - Linsen L.

PY - 2024

SP - 717

EP - 725

DO - 10.5220/0012460500003660

PB - SciTePress