Skip to main content
Log in

PackMolds: computational design of packaging molds for thermoforming

  • Research
  • Published:
The Visual Computer Aims and scope Submit manuscript

Abstract

We present a novel technique for designing molds suitable for desktop thermoforming, specifically for creating packaging such as blister packs. Our molds, PackMolds, feature neither undercuts nor negative draft angles, facilitating their easy release from thermoformed plastic sheets. In this study, we optimize the geometry of PackMolds to comply with user-specified draft angle constraints. Instead of simulating the traditional thermoforming process, which necessitates time discretization and specifying detailed parameters for both material properties and machine configuration to achieve an accurate simulation result, we formulate our problem as a constrained geometric optimization problem and solve it using a gradient-based solver. Additionally, in contrast to industrial thermoforming, which benefits from advanced tools, desktop thermoforming lacks such sophisticated resources. Therefore, we introduce a suite of assistive tools to enhance the success of desktop thermoforming. Furthermore, we demonstrate its wide applicability by showcasing its use in not only designing blister packs but also in creating double-sided blister packs and model stands.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+
from €37.37 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

Price includes VAT (Netherlands)

Instant access to the full article PDF.

Fig. 1
The alternative text for this image may have been generated using AI.
Fig. 2
The alternative text for this image may have been generated using AI.
Fig. 3
The alternative text for this image may have been generated using AI.
Fig. 4
The alternative text for this image may have been generated using AI.
Fig. 5
The alternative text for this image may have been generated using AI.
Fig. 6
The alternative text for this image may have been generated using AI.
Algorithm 1
The alternative text for this image may have been generated using AI.
Fig. 7
The alternative text for this image may have been generated using AI.
Fig. 8
The alternative text for this image may have been generated using AI.
Fig. 9
The alternative text for this image may have been generated using AI.
Fig. 10
The alternative text for this image may have been generated using AI.
Fig. 11
The alternative text for this image may have been generated using AI.
Fig. 12
The alternative text for this image may have been generated using AI.
Fig. 13
The alternative text for this image may have been generated using AI.
Fig. 14
The alternative text for this image may have been generated using AI.
Fig. 15
The alternative text for this image may have been generated using AI.
Fig. 16
The alternative text for this image may have been generated using AI.
Fig. 17
The alternative text for this image may have been generated using AI.
Fig. 18
The alternative text for this image may have been generated using AI.
Fig. 19
The alternative text for this image may have been generated using AI.
Fig. 20
The alternative text for this image may have been generated using AI.
Fig. 21
The alternative text for this image may have been generated using AI.
Fig. 22
The alternative text for this image may have been generated using AI.

Similar content being viewed by others

References

  1. Accuform: T-sim. https://www.t-sim.com/. Accessed 24 Jan 2024

  2. Alderighi, T., Malomo, L., Auzinger, T., Bickel, B., Cignoni, P., Pietroni, N.: State of the art in computational mould design. Comput. Graph. Forum 41(6), 435–452 (2022). https://doi.org/10.1111/cgf.14581

    Article  Google Scholar 

  3. Alderighi, T., Malomo, L., Bickel, B., Cignoni, P., Pietroni, N.: Volume decomposition for two-piece rigid casting. ACM Trans. Graph. (2021). https://doi.org/10.1145/3478513.3480555

    Article  Google Scholar 

  4. Alderighi, T., Malomo, L., Giorgi, D., Bickel, B., Cignoni, P., Pietroni, N.: Volume-aware design of composite molds. ACM Trans. Graph. (2019). https://doi.org/10.1145/3306346.3322981

    Article  Google Scholar 

  5. Alderighi, T., Malomo, L., Giorgi, D., Pietroni, N., Bickel, B., Cignoni, P.: Metamolds: computational design of silicone molds. ACM Trans. Graph. (2018). https://doi.org/10.1145/3197517.3201381

    Article  Google Scholar 

  6. CGAL: 3d alpha wrapping: user manual. https://doc.cgal.org/latest/Alpha_wrap_3/index.html. Accessed 04 Aug 2024

  7. Edelsbrunner, H., Harer, J.: Persistent homology–a survey. In: Goodman, Jacob E. (ed.) Surveys on Discrete and Computational Geometry, vol. 453, p. 257. American Mathematical Society, Providence (2008)

    Chapter  Google Scholar 

  8. Florian, J.: Practical Thermoforming: Principles and Applications. CRC Press, New York (1987)

    Google Scholar 

  9. Keinert, B., Innmann, M., Sänger, M., Stamminger, M.: Spherical fibonacci mapping. ACM Trans. Graph. (2015). https://doi.org/10.1145/2816795.2818131

    Article  Google Scholar 

  10. Klein, P.: Fundamentals of plastics thermoforming. Synth. Lect. Mater. Eng. (2009). https://doi.org/10.2200/S00184ED1V01Y200904MRE001

    Article  Google Scholar 

  11. Kobbelt, L.P., Vorsatz, J., Labsik, U.A.: A shrink wrapping approach to remeshing polygonal surfaces. Comput. Graph. Forum 18(3), 119–130 (1999). https://doi.org/10.1111/1467-8659.00333

    Article  Google Scholar 

  12. Kraft D.: A software package for sequential quadratic programming. In: Technical Report DFVLR-FB 88-28, DLR German Aerospace Center - Institute for Flight Mechanics, Koöln, Germany (1988)

  13. Makyu: Formbox. https://mayku.me/formbox. Accessed 24 Jan 2024

  14. Malomo, L., Pietroni, N., Bickel, B., Cignoni, P.: Flexmolds: automatic design of flexible shells for molding. ACM Trans. Graph. (2016). https://doi.org/10.1145/2980179.2982397

    Article  Google Scholar 

  15. McNeel: Rhino 7 - rhinoceros 3d (2020). https://www.rhino3d.com/7/

  16. McNeel: Rhino 8 - rhinoceros 3d (2023). https://www.rhino3d.com/8/. Accessed 04 Aug 2024

  17. Mitra, N.J., Pauly, M., Wand, M., Ceylan, D.: Symmetry in 3d geometry: extraction and applications. Comput. Graph. Forum 32(6), 1–23 (2013). https://doi.org/10.1111/cgf.12010

    Article  Google Scholar 

  18. Nakashima, K., Auzinger, T., Iarussi, E., Zhang, R., Igarashi, T., Bickel, B.: Corecavity: interactive shell decomposition for fabrication with two-piece rigid molds. ACM Trans. Graph. (2018). https://doi.org/10.1145/3197517.3201341

  19. Portaneri, C., Rouxel-Labbé, M., Hemmer, M., Cohen-Steiner, D., Alliez, P.: Alpha wrapping with an offset. ACM Trans. Graph. (2022). https://doi.org/10.1145/3528223.3530152

    Article  Google Scholar 

  20. Schüller, C., Panozzo, D., Grundhöfer, A., Zimmer, H., Sorkine, E., Sorkine-Hornung, O.: Computational thermoforming. ACM Trans. Graph. (2016). https://doi.org/10.1145/2897824.2925914

  21. Sellán, S., Kesten, J., Sheng, A.Y., Jacobson, A.: Opening and closing surfaces. ACM Trans. Graph. (2020). https://doi.org/10.1145/3414685.3417778

    Article  Google Scholar 

  22. Stein, O., Jacobson, A., Grinspun, E.: Interactive design of castable shapes using two-piece rigid molds. Comput. Graph. 80, 51–62 (2019). https://doi.org/10.1016/j.cag.2019.03.001

    Article  Google Scholar 

  23. Throne, J.L.: Thermoforming. Hanser Publishers, Munich (1987)

    Google Scholar 

  24. Valkeneers, T., Leen, D., Ashbrook, D., Ramakers, R.: Stackmold: Rapid prototyping of functional multi-material objects with selective levels of surface details. In: Proceedings of the 32nd Annual ACM Symposium on User Interface Software and Technology, UIST ’19, pp. 687-699. Association for Computing Machinery, New York, NY, USA (2019). https://doi.org/10.1145/3332165.3347915

  25. Vollmer, J., Mencl, R., Müller, H.: Improved Laplacian smoothing of noisy surface meshes. Comput. Graph. Forum 18(3), 131–138 (1999). https://doi.org/10.1111/1467-8659.00334

  26. Zhang, Y., Tong, Y., Zhou, K.: Coloring 3D printed surfaces by thermoforming. IEEE Trans. Vis. Comput. Graph. 23(8), 1924–1935 (2017). https://doi.org/10.1109/TVCG.2016.2598570

    Article  Google Scholar 

  27. Zhou, Q., Jacobson, A.: Thingi10k: A dataset of 10, 000 3D-printing models. CoRR abs/1605.04797 (2016). http://arxiv.org/abs/1605.04797

Download references

Author information

Authors and Affiliations

Authors

Contributions

As the sole author of this manuscript, I was responsible for all aspects of this study. I conceptualized and designed the research, developed the methodology, conducted the experiments, and analyzed the data. I wrote the initial draft of the manuscript and revised it based on reviewer feedback. Additionally, I prepared all the figures and ensured that they met the publication standards. I have reviewed and approved the final manuscript, and I am accountable for all aspects of the work.

Corresponding author

Correspondence to Naoki Kita.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kita, N. PackMolds: computational design of packaging molds for thermoforming. Vis Comput 40, 4689–4700 (2024). https://doi.org/10.1007/s00371-024-03462-8

Download citation

  • Accepted:

  • Published:

  • Version of record:

  • Issue date:

  • DOI: https://doi.org/10.1007/s00371-024-03462-8

Keywords