Approximation of developable surfaces with cone spline surfaces

Developable surfaces are modelled with pieces of right circular cones. These cone spline surfaces are well-suited for applications: They possess degree two parametric and implicit representations. Bending sequences and the development can be explicitly computed and the offsets are of the same type. The algorithms are based on elementary analytic and constructive geometry. There appear interesting relations to planar and spherical arc splines.

• Type: Journal
• Year: 1998
• Where: CAD
• Authors: Stefan Leopoldseder, Helmut Pottmann
• Keywords: CAD 1998, Cone Spline, Developable Surfaces, Right Circular Cones, Theoretical Computer Science