Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
ACM Transactions on Graphics (TOG)
Interpolation with developable Be´zier patches
Computer Aided Geometric Design
Developable (1, n)-Be´zier surfaces
Computer Aided Geometric Design
Bending and Creasing Virtual Paper
IEEE Computer Graphics and Applications
Developable rational Be´zier and B-spline surfaces
Computer Aided Geometric Design
Large steps in cloth simulation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Cloth modeling and animation
A simple algorithm for designing developable Bézier surfaces
Computer Aided Geometric Design
Making papercraft toys from meshes using strip-based approximate unfolding
ACM SIGGRAPH 2004 Papers
Animating developable surfaces using nonconforming elements
ACM SIGGRAPH 2008 papers
A survey on CAD methods in 3D garment design
Computers in Industry
Industrial design using interpolatory discrete developable surfaces
Computer-Aided Design
Least squares quasi-developable mesh approximation
Computer Aided Geometric Design
Computer Graphics Forum
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In this paper, a new dynamic developable surface model is proposed. The proposed model represents developable surfaces using triangle meshes. A novel algorithm is proposed to introduce the Hamilton principle into these meshes such that the resulting developable model is dynamic, i.e., it can offer a time-dependent continuous path to deform the model. Applications with examples are presented; these show that the proposed technique can model buckled developable surfaces well, and can offer physically-realistic animations of deformed developable surfaces.