Geometry pipelines accumulate defects. Sculpting, remeshing, format conversion—each step can introduce non-manifold flaps, inconsistencies, and surface artifacts. By the time geometry reaches your algorithm, it is rarely the ideal manifold most methods assume.

trueform is built around a simple idea: a mesh should be understood as an intended surface, observed through the noise of floating-point arithmetic and prior processing.

These defects are additive—they attach to the surface without creating holes. The underlying structure remains recoverable.

This perspective shapes the algorithms:

• Topological consistency. The intersection graph is reduced to its unique canonical form. The reduction diagram maps each intersection to its simplest representative in the ε-topology, ensuring consistency under floating-point uncertainty.
• Artifacts are modeled as independent noise. Geometric inconsistencies decompose locally across polygon regions; topological artifacts decompose globally across manifold edge-connected components—enabling robust classification of the intended structure.

The goal is commutative correctness: operations that commute with mesh idealization. Chain operations freely on non-ideal meshes and clean up once at the end.

Publications

• tf::tree: A General-Purpose Spatial Hierarchy for Real-Time Geometry Queries. Žiga Sajovic, Dejan Knez, and Robert Korez. (IEEE), June 2025. https://doi.org/10.36227/techrxiv.174952959.92977743/v1
• Real-Time Mesh Booleans that Commute with Mesh Idealization. Žiga Sajovic and Dejan Knez. (IEEE), May 2025. https://doi.org/10.36227/techrxiv.174667714.42575478/v1

Citation

If you use trueform in your work, please cite:

@software{trueform2025,
    title={trueform: Real-time Geometric Processing},
    author={Sajovic, {\v{Z}}iga and {et al.}},
    organization={XLAB d.o.o.},
    year={2025},
    url={https://github.com/xlabmedical/trueform}
}