Interactive design exploration for constrained meshes

Bouaziz, Sofien; Deng, Bailin; Deuss, Mario; Kaspar, Alexandre; Pauly, Mark; Schwartzburg, Yuliy

Abstract

In architectural design, surface shapes are commonly subject to geometric constraints imposed by material, fabrication or assembly. Rationalization algorithms can convert a freeform design into a form feasible for production, but often require design modifications that might not comply with the design intent. In addition, they only offer limited support for exploring alternative feasible shapes, due to the high complexity of the optimization algorithm. We address these shortcomings and present a computational framework for interactive shape exploration of discrete geometric structures in the context of freeform architectural design. Our method is formulated as a mesh optimization subject to shape constraints. Our formulation can enforce soft constraints and hard constraints at the same time, and handles equality constraints and inequality constraints in a unified way. We propose a novel numerical solver that splits the optimization into a sequence of simple subproblems that can be solved efficiently and accurately. Based on this algorithm, we develop a system that allows the user to explore designs satisfying geometric constraints. Our system offers full control over the exploration process, by providing direct access to the specification of the design space. At the same time, the complexity of the underlying optimization is hidden from the user, who communicates with the system through intuitive interfaces.

Citation

Bouaziz, S., Deng, B., Deuss, M., Kaspar, A., Pauly, M., & Schwartzburg, Y. (2015). Interactive design exploration for constrained meshes. Computer aided design, 61, 13-23. https://doi.org/10.1016/j.cad.2014.01.004

• Journal Article Type: Article
• Acceptance Date: Jan 16, 2014
• Online Publication Date: Feb 4, 2014
• Publication Date: 2015-04
• Deposit Date: Apr 19, 2016
• Publicly Available Date: Apr 19, 2016
• Journal: Computer-aided design
• Print ISSN: 0010-4485
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 61
• Pages: 13-23
• DOI: https://doi.org/10.1016/j.cad.2014.01.004
• Keywords: Architectural geometry; Design exploration; Fabrication-aware design; Constraint-based modeling
• Public URL: https://hull-repository.worktribe.com/output/436472
• Publisher URL: http://www.sciencedirect.com/science/article/pii/S0010448514000050?np=y
• Additional Information: This is an author's accepted version of an article published in Computer-aided design, 2014, v.61.
• Contract Date: Apr 19, 2016