MCPro: A Procedural Method for Topologically Correct Isosurface Extraction Based on Marching Cubes

Julian Stahl, Roberto Grosso

2025

Abstract

In this work, we present an innovative procedural algorithm designed for extracting isosurfaces from scalar data within hexahedral grids. The geometry and the topological features of the intersection of a level set of the trilinear interpolant with the faces and the interior of a reference unit cell are analyzed. Ambiguities are solved without the help of lookup tables, generating a topologically correct triangulation of the level set within the cell that is consistent across cell boundaries. The algorithm is based on constructing and triangulating a polygonal halfedge data structure that includes contours and critical points of the trilinear interpolant. Our algorithm is capable of handling many singular cases that were not solved by previous methods. The efficacy and correctness of the algorithm were tested on a variety of academic and praxis-relevant CT and MRI datasets.

Paper Citation

in Harvard Style

Stahl J. and Grosso R. (2025). MCPro: A Procedural Method for Topologically Correct Isosurface Extraction Based on Marching Cubes. In Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP; ISBN 978-989-758-728-3, SciTePress, pages 331-338. DOI: 10.5220/0013309800003912

in Bibtex Style

@conference{grapp25,
author={Julian Stahl and Roberto Grosso},
title={MCPro: A Procedural Method for Topologically Correct Isosurface Extraction Based on Marching Cubes},
booktitle={Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP},
year={2025},
pages={331-338},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013309800003912},
isbn={978-989-758-728-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP
TI - MCPro: A Procedural Method for Topologically Correct Isosurface Extraction Based on Marching Cubes
SN - 978-989-758-728-3
AU - Stahl J.
AU - Grosso R.
PY - 2025
SP - 331
EP - 338
DO - 10.5220/0013309800003912
PB - SciTePress