article published yes Manas Bhargava author FF8FA64C-AA6A-11E9-99AD-50D4E56974250009-0007-6138-6890 Camille Schreck author 2B14B676-F248-11E8-B48F-1D18A9856A87 M. Freire author P. A. Hugron author S. Lefebvre author S. Sellán author Bernd Bickel author 49876194-F248-11E8-B48F-1D18A9856A870000-0001-6511-9385 GradSch department BeBi department 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. https://research-explorer.ista.ac.at/download/18565/18567/Mesh_Simplification_For_Unfolding_cgf_submission_supplemental_video.mp4 video/mp4no https://research-explorer.ista.ac.at/download/18565/19576/2025_CompGraphicsForum_Bhargava.pdf application/pdfno https://creativecommons.org/licenses/by-nc/4.0/ Wiley2025 eng fabricationsingle patch unfoldingmesh simplification 0167-7055 1467-8659 2408.06944 00135704610000110.1111/cgf.15269 441 https://research-explorer.ista.ac.at/record/20276 Bhargava, M., Schreck, C., Freire, M., Hugron, P. A., Lefebvre, S., Sellán, S., &#38; Bickel, B. (2025). Mesh simplification for unfolding. <i>Computer Graphics Forum</i>. Wiley. <a href="https://doi.org/10.1111/cgf.15269">https://doi.org/10.1111/cgf.15269</a> Bhargava M, Schreck C, Freire M, et al. Mesh simplification for unfolding. <i>Computer Graphics Forum</i>. 2025;44(1). doi:<a href="https://doi.org/10.1111/cgf.15269">10.1111/cgf.15269</a> Bhargava M, Schreck C, Freire M, Hugron PA, Lefebvre S, Sellán S, Bickel B. 2025. Mesh simplification for unfolding. Computer Graphics Forum. 44(1), e15269. M. Bhargava <i>et al.</i>, “Mesh simplification for unfolding,” <i>Computer Graphics Forum</i>, vol. 44, no. 1. Wiley, 2025. M. Bhargava, C. Schreck, M. Freire, P.A. Hugron, S. Lefebvre, S. Sellán, B. Bickel, Computer Graphics Forum 44 (2025). Bhargava, Manas, Camille Schreck, M. Freire, P. A. Hugron, S. Lefebvre, S. Sellán, and Bernd Bickel. “Mesh Simplification for Unfolding.” <i>Computer Graphics Forum</i>. Wiley, 2025. <a href="https://doi.org/10.1111/cgf.15269">https://doi.org/10.1111/cgf.15269</a>. Bhargava, Manas, et al. “Mesh Simplification for Unfolding.” <i>Computer Graphics Forum</i>, vol. 44, no. 1, e15269, Wiley, 2025, doi:<a href="https://doi.org/10.1111/cgf.15269">10.1111/cgf.15269</a>. 185652024-11-19T09:14:32Z2026-07-29T13:03:30Z