Abstract
The use of Function Representation (FRep) to synthesise and specify geometries for 3D printing is finding renewed interest. The usefulness and extension of this representation in the synthesis and analysis of geometries for the process of large-scale, layered concrete 3D printing has been previously articulated by the authors. This paper fully extends the implicit representation used previously in shape-design to fabrication-related processing of compressive skeletal structures for realisation by robotic 3D printing of concrete. In particular, we use an initial value formulation of a propagating front to process the nodes and bars of a given funicular spatial structure.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bhooshan, S., Van Mele, T., Block, P.: Equilibrium-aware shape design for concrete printing. In: De Rycke, K., Gengnagel, C., Baverel, O., Burry, J., Mueller, C., Nguyen, M.M., Rahm, P., Thomsen, M.R. (eds.) Humanizing Digital Reality, Design Modelling Symposium 2017, pp. 493–508. Springer, Singapore (2017)
Bloomenthal, J., Bajaj, C.: Introduction to Implicit Surfaces. Morgan Kaufmann, San Francisco (1997)
Bloomenthal, J., Shoemake, K.: Convolution surfaces. In: Proceedings of the 18th Annual Conference on Computer Graphics and Interactive Techniques (ACM SIGGRAPH 1991), pp. 251–256. Las Vegas (1991)
Cacace, S., Cristiani, E., Rocchi, L.: A level set based method for fixing overhangs in 3D printing. Appl. Math. Model. 44, 446–455 (2017)
Cohen, L.D.: On active contour models and balloons. CVGIP Image Underst. 53, 211–218 (1991)
Desbrun, M., Gascuel, M.-P.: Animating soft substances with implicit surfaces. In: Proceedings of the 22nd Annual Conference on Computer Graphics and Interactive Techniques (ACM SIGGRAPH 1995), pp. 287–290. Los Angeles, CA (1995)
Frick, U., Van Mele, T., Block, P.: Decomposing three-dimensional shapes into self-supporting, discrete-element assemblies. In: Thomsen, M., Tamke, M., Gengnagel, C., Faircloth, B., Scheurer, F. (eds.) Modelling Behaviour, Design Modelling Symposium 2015, pp. 187–201. Springer, Cham (2015)
Hubert, E., Cani, M.-P.: Convolution surfaces based on polygonal curve skeletons. J. Symb. Comput. 47, 680–699 (2012)
Ji, Z., Liu, L., Wang, Y.: B‐Mesh: a modeling system for base meshes of 3D articulated shapes. In: Computer Graphics Forum, pp. 2169–2177. Wiley Online Library (2010)
Kass, M., Witkin, A., Terzopoulos, D.: Snakes: active contour models. Int. J. Comput. Vis. 1, 321–331 (1988)
Keeter, M.: Hierarchical volumetric object representations for digital fabrication workflows. In: Proceedings of the 40th Annual Conference on Computer Graphics and Interactive Techniques (ACM SIGGRAPH 2013), Poster, Anaheim, CA (2013)
Lu, L., Sharf, A., Zhao, H., Wei, Y., Fan, Q., Chen, X., Savoye, Y., Tu, C., Cohen-Or, D., Chen, B.: Build-to-last: strength to weight 3D printed objects. ACM Trans. Graph. 33, 97 (2014)
Monreal, A.: T-Norms, T-Conorms, aggregation operators and Gaudí’s columns.In: Seising, R., González, V.S. (eds.) Soft Computing in Humanities and Social Sciences, pp. 497–515. Springer, Berlin, Heidelberg (2012)
Pasko, A., Adzhiev, V.: Function-based shape modeling: mathematical framework and specialized language. In: Winkler, F. (ed.) ADG 2002: 4th International Workshop on Automated Deduction in Geometry, Hagenberg Castle, Austria, pp. 132–160. Springer, Heidelberg (2002)
Perugini, P., Andreani, S.: Pier Luigi Nervi’s columns: flow of lines and forces. J. Int. Assoc. Shell Spat. Struct. 54, 137–148 (2013)
Popescu, M., Rippmann, M., Van Mele, T., Philippe, B.: Complex concrete casting: knitting stay-in-place formwork. In: Proceedings of the IASS 2016 Annual International Symposium: Spatial Structures in the 21st Century, Tokyo, p. 1278 (2016)
Rian, I.M., Sassone, M.: Tree-inspired dendriforms and fractal-like branching structures in architecture: a brief historical overview. Front. Archit. Res. 3, 298–323 (2014)
Rossignac, J.: Blending and offsetting solid models Ph.D. thesis, University of Rochester (1985)
Sethian, J.: Fast marching methods and level set methods for propagating interfaces. In: Comput. Fluid Dyn. Annu. Lect. Ser. 29th, Rhode-Saint-Genese, Belgium (1998)
Sherstyuk, A.: Interactive shape design with convolution surfaces. In: Proceedings of the International Conference on Shape Modeling and Applications, Shape Modeling International 1999, pp. 56–65. Aizu-Wakamatsu, Japan (1999a)
Sherstyuk, A.: Kernel functions in convolution surfaces: a comparative analysis. Vis. Comput. 15, 171–182 (1999)
West, M.: Fabric-formed concrete structures. In: Proceedings of First International Conference on Concrete and Development, pp. 133–142. Tehran, Iran (2001)
West, M.: The Fabric Formwork Book: Methods for Building New Architectural and Structural Forms in Concrete. Routledge, Abington, OX (2016)
Wyvill, B., Wyvill, G.: Field functions for implicit surfaces. Vis. Comput. 5, 75–82 (1989)
Wyvill, G., McPheeters, C., Wyvill, B.: Soft objects. In: Kunii, T. (ed.) Advanced Computer Graphics: Proceedings of Computer Graphics Tokyo 1886, pp. 113–128. Springer, Tokyo (1986)
XtreeE (2017). Post in Aix-en-Provence. http://www.xtreee.eu/post-in-aix-en-provence/. Accessed 3 Sept 2018
Zastavni, D.: The structural design of Maillart’s Chiasso Shed (1924): a graphic procedure. Struct. Eng. Int. 18, 247–252 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Bhooshan, S., Ladinig, J., Van Mele, T., Block, P. (2019). Function Representation for Robotic 3D Printed Concrete. In: Willmann, J., Block, P., Hutter, M., Byrne, K., Schork, T. (eds) Robotic Fabrication in Architecture, Art and Design 2018. ROBARCH 2018. Springer, Cham. https://doi.org/10.1007/978-3-319-92294-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-92294-2_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-92293-5
Online ISBN: 978-3-319-92294-2
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)