Guided exploration of physically valid shapes for furniture design

Nobuyuki Umetani*, Takeo Igarashi, Niloy J. Mitra

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

147 Scopus citations


Geometric modeling and the physical validity of shapes are traditionally considered independently. This makes creating aesthetically pleasing yet physically valid models challenging. We propose an interactive design framework for efficient and intuitive exploration of geometrically and physically valid shapes. During any geometric editing operation, the proposed system continuously visualizes the valid range of the parameter being edited. When one or more constraints are violated after an operation, the system generates multiple suggestions involving both discrete and continuous changes to restore validity. Each suggestion also comes with an editing mode that simultaneously adjusts multiple parameters in a coordinated way to maintain validity. Thus, while the user focuses on the aesthetic aspects of the design, our computational design framework helps to achieve physical realizability by providing active guidance to the user. We demonstrate our framework on plankbased furniture design with nail-joint and frictional constraints. We use our system to design a range of examples, conduct a user study, and also fabricate a physical prototype to test the validity and usefulness of the system.

Original languageEnglish (US)
Article number86
JournalACM transactions on graphics
Issue number4
StatePublished - Jul 2012


  • Computational design
  • Guided exploration
  • Physical validity
  • Sensitivity analysis
  • Shape analysis
  • Shape space

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design


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