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SGP
2007

Developable surfaces from arbitrary sketched boundaries

8 years 7 months ago
Developable surfaces from arbitrary sketched boundaries
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 a...
Kenneth Rose, Alla Sheffer, Jamie Wither, Marie-Pa
Added 30 Sep 2010
Updated 30 Sep 2010
Type Conference
Year 2007
Where SGP
Authors Kenneth Rose, Alla Sheffer, Jamie Wither, Marie-Paule Cani, Boris Thibert
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