Mesh Simplification For Unfolding
<|reference_start|>Mesh Simplification For Unfolding: We present a computational approach for unfolding 3D shapes isometrically into the plane as a single patch without overlapping triangles. This is a hard, sometimes impossible, problem, which existing methods are forced to soften by allowing for map distortions or multiple patches. Instead, we propose a geometric relaxation of the problem: we modify the input shape until it admits an overlap-free unfolding. We achieve this by locally displacing vertices and collapsing edges, guided by the unfolding process. We validate our algorithm quantitatively and qualitatively on a large dataset of complex shapes and show its proficiency by fabricating real shapes from paper.<|reference_end|>
@article{bhargava2024mesh,
    title={Mesh Simplification For Unfolding},
    author={Manas Bhargava, Camille Schreck, Marco Freire, Pierre-Alexandre
  Hugron, Sylvain Lefebvre, Silvia Sell'an and Bernd Bickel},
    journal={arXiv preprint arXiv:2408.06944},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.06944},
    primaryClass={cs.GR}
}