Approximation algorithms for developable surfaces

By its dual representation, a developable surface can be viewed as a curve of dual projective 3-space. After introducing an appropriate metric in the dual space and restricting ourselves to special parametrizations of the surfaces involved, we derive linear approximation algorithms for developable NURBS surfaces, including multiscale approximations. Special attention is paid to controlling the curve of regression.

• Type: Journal
• Year: 1999
• Where: CAGD
• Authors: Helmut Pottmann, Johannes Wallner
• Keywords: CAGD 1999, Developable Surface, Dual Projective, Dual Representation