A Multi-resolution Design Methodology Based on Discrete Models

  • Manuel Ladron de GuevaraEmail author
  • Luis Borunda
  • Ramesh Krishnamurti
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 1028)


The use of programming languages in design opens up unexplored and previously unworkable territories, mainly, in conventional architectural practice. In the 1990s, languages of continuity, smoothness and seamlessness dominated the architectural inquiry with the CNC milling machine as its manufacturing tool. Today’s computational design and fabrication technology look at languages of synthesis of fragments or particles, with the 3D printer as its fabrication archetype. Fundamental to this idea is the concept of resolution–the amount of information stored at any localized region. Construction of a shape is then based on multiple regions of resolution. This paper explores a novel design methodology that takes this concept of resolutions on discrete elements as a design driver for architectural practice. This research has been tested primarily through additive manufacturing techniques.


Multi-resolution design methodology Discrete-based computational design Resolutions Additive manufacturing 



The authors would like to thank the following organizations that funded this research; The Frank Ratchye Fund for Art @ the Frontier (FRFAF), Consejo Social de la Universidad Politécnica de Madrid and the National Council of Science and Technology of Mexico.


  1. 1.
    Sharp, J.V., Thompson, D.R.: Method and apparatus for increasing image resolution (1971)Google Scholar
  2. 2.
    Dillenburger, B., Hansmeyer, M.: The resolution of architecture in the digital age. Commun. Comput. Inf. Sci. 369, 347–357 (2013). Scholar
  3. 3.
    Oxman, R.: Educating the designerly thinker. Des. Stud. 20, 105–122 (1999). Scholar
  4. 4.
    Carpo, M.: The Second Digital Turn: Design Beyond Intelligence. MIT Press, Cambridge (2017)CrossRefGoogle Scholar
  5. 5.
    Cardoso, D.: Builders of the Vision, p. 208 (2012)Google Scholar
  6. 6.
    Schumacher, P.: Parametricism: a new global style for architecture and urban design. Archit. Des. 79, 14–23 (2009). Scholar
  7. 7.
    Carpo, M.: Excessive resolution: from digital streamlining to computational complexity. Archit. Des. 86, 78–83 (2016). Scholar
  8. 8.
    Garcia, M.J.: A generalized approach to non-layered fused filament fabrication. In: ACADIA 2017 Disciplines & Disruption, pp. 562–571 (2017)Google Scholar
  9. 9.
    Retsin, G., Jiménez García, M.: Discrete computational methods for robotic additive manufacturing. In: Fabricate 2017, pp. 178–184 (2017).
  10. 10.
    Sanchez, J., Andrasek, A.: Bloom. In: Fabricate 2014, DGO-Digi, pp. 98–103. UCL Press (2017)Google Scholar
  11. 11.
    Yagel, R., Cohen, D., Kaufman, A., et al.: Volume graphics. Computer (Long Beach Calif) 26, 51–64 (1993).
  12. 12.
    Wu, R., Peng, H., Guimbretière, F., Marschner, S.: Printing arbitrary meshes with a 5DOF wireframe printer. ACM Trans. Graph. 35, 1–9 (2016). Scholar
  13. 13.
    Mueller, S., Im, S., Gurevich, S., et al.: WirePrint. In: Proceedings of the 27th Annual ACM Symposium on User Interface Software and Technology - UIST 2014, pp. 273–280. ACM Press, New York (2014)Google Scholar
  14. 14.
    Reynolds, D., Tam, K.-M.M., Otani, R., Poulsen, E.: Equivalent material modelling of complex additive manufactured conformal lattices. In: Proceedings of the IASS Annual Symposium 2017. International Association for Shell and Spatial Structures (IASS), Hamburg, pp. 1–10 (2017)Google Scholar
  15. 15.
    Pasquarelli, G., Sharples, W., Sharples, C., et al.: Additive manufacturing revolutionizes lightweight gridshells. In: Proceedings of the IASS Annual Symposium 2017. International Association for Shell and Spatial Structures (IASS), Hamburg (2017)Google Scholar
  16. 16.
    Cheung, K.C.: Digital Cellular Solids: Reconfigurable composite materials. Massachusetts Institute of Technology (2012)Google Scholar
  17. 17.
    Gibson, L., Ashby, M.: Cellular Solids: Structure and Properties. Cambridge University Press, Cambridge (1999)zbMATHGoogle Scholar
  18. 18.
    Willmann, J., Gramazio, F., Kohler, M., Langenberg, S.: Digital by material. In: Brell-Çokcan, S., Braumann, J. (eds.) Rob | Arch 2012, pp. 12–27. Springer, Vienna (2013). Scholar
  19. 19.
    Feng, J., Fu, J., Shang, C., et al.: Porous scaffold design by solid T-splines and triply periodic minimal surfaces. Comput. Methods Appl. Mech. Eng. 336, 333–352 (2018). Scholar
  20. 20.
    Wang, S., Zhou, L., Luo, Z., et al.: Lightweight of artificial bone models utilizing porous structures and 3D printing. Int. J. Perform. Eng. 13, 633–642 (2017). Scholar
  21. 21.
    Yoo, D.J.: Porous scaffold design using the distance field and triply periodic minimal surface models. Biomaterials 32, 7741–7754 (2011). Scholar
  22. 22.
    Gibson, L.J.: The mechanical behaviour of cancellous bone. J. Biomech. 18, 317–328 (1985). Scholar
  23. 23.
    Liebschner, M., Wettergreen, M.: Optimization of bone scaffold engineering for load bearing applications. In: Topics in Tissue Engineering Bone II, Part II, vol. 1, chap. 6, pp. 1–39 (2003)Google Scholar
  24. 24.
    Oxman, N.: Virtual and physical prototyping variable property rapid prototyping. 6, 3–31 (2011). Scholar
  25. 25.
    Fleck, N.A., Deshpande, V.S., Ashby, M.F.: Micro-architectured materials: past, present and future. Proc. R. Soc. A Math. Phys. Eng. Sci. 466, 2495–2516 (2010). Scholar
  26. 26.
    Meagher, D.: Geometric modeling using octree encoding. Comput. Graph. Image Process. 19, 129–147 (1982). Scholar
  27. 27.
    Liu, S., Li, Y., Li, N.: A novel free-hanging 3D printing method for continuous carbon fiber reinforced thermoplastic lattice truss core structures. Mater. Des. 137, 235–244 (2018). Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Carnegie Mellon UniversityPittsburghUSA
  2. 2.Universidad Politecnica de MadridMadridSpain

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