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

Stahl J, Grosso R (2025)


Publication Type: Conference contribution

Publication year: 2025

Publisher: Science and Technology Publications, Lda

Book Volume: 1

Pages Range: 331-338

Conference Proceedings Title: Proceedings of the International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications

Event location: Porto, PRT

DOI: 10.5220/0013309800003912

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.

Authors with CRIS profile

How to cite

APA:

Stahl, J., & Grosso, R. (2025). MCPro: A Procedural Method for Topologically Correct Isosurface Extraction Based on Marching Cubes. In Thomas Bashford-Rogers, Daniel Meneveaux, Mehdi Ammi, Mounia Ziat, Stefan Jänicke, Helen Purchase, Petia Radeva, Antonino Furnari, Kadi Bouatouch, A. Augusto Sousa (Eds.), Proceedings of the International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (pp. 331-338). Porto, PRT: Science and Technology Publications, Lda.

MLA:

Stahl, Julian, and Roberto Grosso. "MCPro: A Procedural Method for Topologically Correct Isosurface Extraction Based on Marching Cubes." Proceedings of the 20th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, VISIGRAPP 2025, Porto, PRT Ed. Thomas Bashford-Rogers, Daniel Meneveaux, Mehdi Ammi, Mounia Ziat, Stefan Jänicke, Helen Purchase, Petia Radeva, Antonino Furnari, Kadi Bouatouch, A. Augusto Sousa, Science and Technology Publications, Lda, 2025. 331-338.

BibTeX: Download