Title
Reconstruction of rational ruled surfaces from their silhouettes
Abstract
We provide algorithms to reconstruct rational ruled surfaces in three-dimensional projective space from the “apparent contour” of a single projection to the projective plane. We deal with the case of tangent developables and of general projections to P3 of rational normal scrolls. In the first case, we use the fact that every such surface is the projection of the tangent developable of a rational normal curve, while in the second we start by reconstructing the rational normal scroll. In both instances we then reconstruct the correct projection to P3 of these surfaces by exploiting the information contained in the singularities of the apparent contour.
Year
DOI
Venue
2019
10.1016/j.jsc.2020.08.002
Journal of Symbolic Computation
Keywords
DocType
Volume
Rational surface,Projection,Contour,Discriminant,Tangent developable
Journal
104
ISSN
Citations 
PageRank 
0747-7171
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Matteo Gallet1145.19
niels lubbes253.08
Josef Schicho3217.70
Jan VršEk4267.49