Abstract
We present ShapeOp, a robust and extensible geometric modelling paradigm. ShapeOp builds on top of the state-of-the-art physics solver (Bouaziz et al. in ACM Trans Graph 33:154:1–154:11, 2014). We discuss the main theoretical advantages of the underlying solver and how this influences our modelling paradigm. We provide an efficient open-source C++ implementation (www.shapeop.org) together with scripting interfaces to enable ShapeOp in Rhino/Grasshopper and potentially other tools. This implementation can also act as a template for future integration of computer graphics research. To evaluate the potential of ShapeOp we present various examples using our implementation and discuss potential implications on the design process.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Attar R, Aish R, Stam J, Brinsmead D, Tessier A, Glueck M, Khan A (2009) Physicsbased generative design. In: CAAD futures conference, pp 231–244
Bouaziz S, Deuss M, Schwartzburg Y, Weise T, Pauly M (2012) Shape-up: Shaping discrete geometry with projections. Comput Graph Forum 31(5):1657–1667
Bouaziz S, Martin S, Liu T, Kavan L, Pauly M (2014) Projective dynamics: fusing constraint projections for fast simulation. ACM Trans Graph 33(4):154:1–154:11
Day AS (1965) An introduction to dynamic relaxation. Engineer 219:218221
Deng B, Bouaziz S, Deuss M, Kaspar A, Schwartzburg Y, Pauly M (2015) Interactive design exploration for constrained meshes. Comput Aided Des 61:13–23
Kilian A, Ochsendorf J (2005) Particle-spring systems for structural form finding. J Int Assoc Shell Spat Struct 46(2):77–84
Nocedal J, Wright S (2006) Numerical optimization, 2nd edn. Springer series in operations research and financial engineering, Springer, New York
Piker D (2013) Kangaroo: form finding with computational physics. Architect Des 83(2):136–137
Pottmann H, Liu Y, Wallner J, Bobenko A, Wang W (2007) Geometry of multi-layer freeform structures for architecture. ACM Trans Graph 26(3):1–11
Pottmann H, Eigensatz M, Vaxman A, Wallner J (2015) Architectural geometry. Comput Graph 47:145–164
Senatore G, Piker D (2015) Interactive real-time physics: an intuitive approach to form-finding and structural analysis for design and education. Comput Aided Des 61:32–41
Tang C, Sun X, Gomes A, Wallner J, Pottmann H (2014) Form-finding with polyhedral meshes made simple. ACM Trans Graph 33(4):70:1–70:9
Witkin A, Baraff D (1997) Physically based modeling: principles and practice. In: Siggraph ’97 Course notes
Acknowledgements
We thank the reviewers for their valuable comments. This work has been supported by Swiss National Science Foundation (SNSF) grant 200021 137626 and the Danish Council for Independent Research (DFF). This research has received funding from the European Research Council under the European Unions Seventh Framework Programme (FP/2007–2013) /ERC Grant Agreement 257453, ERC Starting Grant COSYM.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Deuss, M., Deleuran, A.H., Bouaziz, S., Deng, B., Piker, D., Pauly, M. (2015). ShapeOp—A Robust and Extensible Geometric Modelling Paradigm. In: Thomsen, M., Tamke, M., Gengnagel, C., Faircloth, B., Scheurer, F. (eds) Modelling Behaviour. Springer, Cham. https://doi.org/10.1007/978-3-319-24208-8_42
Download citation
DOI: https://doi.org/10.1007/978-3-319-24208-8_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-24206-4
Online ISBN: 978-3-319-24208-8
eBook Packages: EngineeringEngineering (R0)