Optimising 3D Mesh Unfoldings with Additional Gluetabs using Simulated Annealing

Information

• Publication Type: Technical Report
• Workgroup(s)/Project(s):
  • Visualization Group
• Date: May 2020
• Number: TR-193-02-2020-2
• Booktitle: CESCG

Abstract

3D Mesh unfolding is a process of transforming a 3D mesh into one or several 2D planar patches. The technique is widely used to produce papercraft models, where 3D ob- jects can be reconstructed from printed paper or paper-like materials. Nonetheless, the reconstruction of such mod- els can be arduous. In this paper, we aim to unfold a 3D mesh into a single 2D patch and introduce Gluetabs as ad- ditional indicators and in order to give users extra space to apply glue for better reconstruction quality. To avoid unnecessary Gluetabs, we reduce their number, while still guaranteeing the stability of the constructed model. To achieve this, a minimum spanning tree (MST) is used to describe possible unfoldings, whereas simulated annealing optimisation is used to find an optimal unfolding without overlaps. We aim to unfold 3D triangular meshes into sin- gle 2D patches without applying shape distortions, while appropriately assigning a reasonable amount of Gluetabs. Moreover, we incorporate a visual indicator scheme as a post-process to guide users during the model reconstruc- tion process. Our quantitative evaluation suggests that the proposed approach produces fast results for meshes under 400 faces.

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BibTeX

@techreport{korpitsch-2020-cescg,
  title =      "Optimising 3D Mesh Unfoldings with Additional Gluetabs using
               Simulated Annealing",
  author =     "Thorsten Korpitsch and Hsiang-Yun Wu",
  year =       "2020",
  abstract =   "3D Mesh unfolding is a process of transforming a 3D mesh
               into one or several 2D planar patches. The technique is
               widely used to produce papercraft models, where 3D ob- jects
               can be reconstructed from printed paper or paper-like
               materials. Nonetheless, the reconstruction of such mod- els
               can be arduous. In this paper, we aim to unfold a 3D mesh
               into a single 2D patch and introduce Gluetabs as ad-
               ditional indicators and in order to give users extra space
               to apply glue for better reconstruction quality. To avoid
               unnecessary Gluetabs, we reduce their number, while still
               guaranteeing the stability of the constructed model. To
               achieve this, a minimum spanning tree (MST) is used to
               describe possible unfoldings, whereas simulated annealing
               optimisation is used to find an optimal unfolding without
               overlaps. We aim to unfold 3D triangular meshes into sin-
               gle 2D patches without applying shape distortions, while
               appropriately assigning a reasonable amount of Gluetabs.
               Moreover, we incorporate a visual indicator scheme as a
               post-process to guide users during the model reconstruc-
               tion process. Our quantitative evaluation suggests that the
               proposed approach produces fast results for meshes under 400
               faces.",
  month =      may,
  number =     "TR-193-02-2020-2",
  booktitle =  "CESCG ",
  address =    "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
  institution = "Research Unit of Computer Graphics, Institute of Visual
               Computing and Human-Centered Technology, Faculty of
               Informatics, TU Wien ",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/2020/korpitsch-2020-cescg/",
}