Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
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
Computational Line Geometry
A simple algorithm for designing developable Bézier surfaces
Computer Aided Geometric Design
Developable surfaces from arbitrary sketched boundaries
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
ACM SIGGRAPH 2008 papers
Semantic fitting and reconstruction
Journal on Computing and Cultural Heritage (JOCCH)
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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.