An algebraic approach to shape-from-image problems
Artificial Intelligence
Machine interpretation of line drawings
Machine interpretation of line drawings
Computer Aided Geometric Design - Special issue: Topics in CAGD
An efficient algorithm for searching implicit AND/OR graphs with cycles
Artificial Intelligence
Overcoming Superstrictness in Line Drawing Interpretation
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Polyhedral Approximations to a Sphere
CGI '98 Proceedings of the Computer Graphics International 1998
Towards an Understanding of Surfaces through Polygonization
CGI '98 Proceedings of the Computer Graphics International 1998
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This paper explores the possibility of approximating a surface by a trihedral polygonal mesh plus some triangles at strategic places. The presented approximation has several attractive properties. It turns out that the Z-coordinates of the vertices are completely governed by the Z-coordinates assigned to four selected ones. This allows describing the spatial polygonal mesh with just its 2D projection plus the heights of four vertices. As a consequence, these projections essentially capture the "spatial meaning" of the given surface, in the sense that, whatever spatial interpretations are drawn from them, they all exhibit the same shape, up to some trivial ambiguities.