Developable rational Be´zier and B-spline surfaces
Computer Aided Geometric Design
Interpolation on quadric surfaces with rational quadratic spline curves
Computer Aided Geometric Design
Curve reconstruction from unorganized points
Computer Aided Geometric Design
A simple algorithm for designing developable Bézier surfaces
Computer Aided Geometric Design
Discrete surfaces in isotropic geometry
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Piecewise developable surface approximation of general NURBS surfaces, with global error bounds
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Computer Graphics Forum
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Given a set of data points as measurements from a developable surface, the present paper investigates the recognition and reconstruction of these objects. We investigate the set of estimated tangent planes of the data points and show that classical Laguerre geometry is a useful tool for recognition, classification and reconstruction of developable surfaces. These surfaces can be generated as envelopes of a one-parameter family of tangent planes. Finally we give examples and discuss the problems especially arising from the interpretation of a surface as set of tangent planes.