A Quasi-Minimal Model for Paper-Like Surfaces

Smoothly bent paper-like surfaces are developable. They are however difficult to minimally parameterize since the number of meaningful parameters is intrinsically dependent on the actual deformation. Previous generative models are either incomplete, i.e. limited to subsets of developable surfaces, or depend on huge parameter sets. We propose a generative model governed by a quasiminimal set of intuitive parameters, namely rules and angles. More precisely, a flat mesh is bent along guiding rules, while a number of extra rules controls the level of smoothness. The generated surface is guaranteed to be developable. A fully automatic multi-camera threedimensional reconstruction algorithm, including model-based bundleadjustment, demonstrates our model on real images.

• Type: Conference
• Year: 2007
• Where: CVPR
• Authors: Mathieu Perriollat, Adrien Bartoli
• Keywords: Bent Paper-like Surfaces, Computer Vision, CVPR 2007, Developable Surfaces, Generative Model, Huge Parameter Sets, Multi-camera Threedimensional Reconstruction