1UBC-Computer Science - Computer Science Department (UBC DEPARTMENT OF COMPUTER SCIENCE ICICS/CS Building 201-2366 Main Mall Vancouver, B.C. V6T 1Z4 General Enquiries: Tel: 604-822-3061 E-mail: info@cs.ubc.ca Fax: 604-822-5485 - Canada)
UBC - University of British Columbia (Vancouver Campus, , 2329 West Mall, Vancouver, BC, V6T 1Z4 /
Okanagan Campus, 3333 University Way, Kelowna, BC, V1V 1V7 - Canada)
2Imager Lab (Department of Computer Science, X635-2366 Main Mall, Vancouver, BC V6T 1Z4 - Canada)
Columbia University [New York] (Columbia University in the City of New York, 2960 Broadway, New York, NY 10027-6902 - United States)
Abstract : 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.
https://hal.inria.fr/inria-00337445
Contributor : Jamie Wither <>
Submitted on : Friday, May 20, 2011 - 9:13:11 AM Last modification on : Tuesday, February 9, 2021 - 3:28:03 PM Long-term archiving on: : Sunday, August 21, 2011 - 2:20:19 AM