Developable Surfaces from Arbitrary Sketched Boundaries

Eurographics Symposium on Geometry Processing - 2007
Download the publication : SGP07.pdf [10.5Mo]  
Developable surfaces are surfaces that can be unfolded into the plane with no distortion. Although ubiquitous in our everyday surroundings, modeling them using existing tools requires significant geometric expertise and time. Our paper simplifies the modeling process by introducing an intuitive sketch-based approach for modeling developables. We develop an algorithm that given an arbitrary, user specified 3D polyline boundary, constructed using a sketching interface, generates a smooth discrete developable surface that interpolates this boundary. Our method utilizes the connection between developable surfaces and the convex hulls of their boundaries. The method explores the space of possible interpolating surfaces searching for a developable surface with desirable shape characteristics such as fairness and predictability. The algorithm is not restricted to any particular subset of developable surfaces. We demonstrate the effectiveness of our method through a series of examples, from architectural design to garments.

Images and movies

 

BibTex references

@InProceedings\{RSWCT07,
  author       = "Rose, Kenneth and Sheffer, Alla and Wither, Jamie and Cani, Marie-Paule and Thibert, Boris",
  title        = "Developable Surfaces from Arbitrary Sketched Boundaries",
  booktitle    = "Eurographics Symposium on Geometry Processing",
  year         = "2007",
  organization = "Eurographics",
  url          = "http://www-evasion.imag.fr/Publications/2007/RSWCT07"
}

Other publications in the database

in lab LJK base , in team EVASION base
» Alla Sheffer : in lab LJK base , in team EVASION base
» Jamie Wither : in lab LJK base , in team EVASION base
» Marie-Paule Cani : in lab LJK base , in team EVASION base
» Boris Thibert : in lab LJK base , in team EVASION base