Introduction to algorithms
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Teddy: a sketching interface for 3D freeform design
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Making papercraft toys from meshes using strip-based approximate unfolding
ACM SIGGRAPH 2004 Papers
The Visual Computer: International Journal of Computer Graphics
Degree elevation and developable Bézier surfaces
Computer Aided Geometric Design
Developable surface fitting to point clouds
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
SmoothSketch: 3D free-form shapes from complex sketches
ACM SIGGRAPH 2006 Papers
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Paper craft models from meshes
The Visual Computer: International Journal of Computer Graphics
ACM SIGGRAPH 2008 papers
Freeform surfaces from single curved panels
ACM SIGGRAPH 2008 papers
Technical Section: Sketch-based modeling: A survey
Computers and Graphics
ACM SIGGRAPH 2010 papers
SMI 2011: Full Paper: Context-aware garment modeling from sketches
Computers and Graphics
Cover geometry design using multiple convex hulls
Computer-Aided Design
Industrial design using interpolatory discrete developable surfaces
Computer-Aided Design
Least squares quasi-developable mesh approximation
Computer Aided Geometric Design
Computer Graphics Forum
Design-driven quadrangulation of closed 3D curves
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Surface patches for 3D sketching
Proceedings of the International Symposium on Sketch-Based Interfaces and Modeling
A general and efficient method for finding cycles in 3D curve networks
ACM Transactions on Graphics (TOG)
An algorithm for triangulating multiple 3D polygons
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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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.