Interactive design exploration for constrained meshes

Deng, Bailin ORCID: https://orcid.org/0000-0002-0158-7670, Bouaziz, Sofien, Deuss, Mario, Kaspar, Alexandre, Schwartzburg, Yuliy and Pauly, Mark 2015. Interactive design exploration for constrained meshes. Computer-Aided Design 61 , pp. 13-23.

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Abstract

In architectural design, surface shapes are commonly subject to geometric con- straints imposed by material, fabrication or assembly. Rationalization algo- rithms can convert a freeform design into a form feasible for production, but often require design modi�cations that might not comply with the design intent. In addition, they only o�er 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 optimiza- tion 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 uni�ed way. We propose a novel numerical solver that splits the optimization into a sequence of simple subproblems that can be solved e�ciently and accurately. Based on this algorithm, we develop a system that allows the user to explore designs satisfying geometric constraints. Our system o�ers full control over the exploration process, by providing direct access to the speci�cation 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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	In architectural design, surface shapes are commonly subject to geometric con- straints imposed by material, fabrication or assembly. Rationalization algo- rithms can convert a freeform design into a form feasible for production, but often require design modi�cations that might not comply with the design intent. In addition, they only o�er 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 optimiza- tion 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 uni�ed way. We propose a novel numerical solver that splits the optimization into a sequence of simple subproblems that can be solved e�ciently and accurately. Based on this algorithm, we develop a system that allows the user to explore designs satisfying geometric constraints. Our system o�ers full control over the exploration process, by providing direct access to the speci�cation 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.
Publisher:	Elsevier
ISSN:	0010-4485
Date of First Compliant Deposit:	26 April 2017
Last Modified:	05 May 2023 11:29
URI:	https://orca.cardiff.ac.uk/id/eprint/98569

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