Completion of Visible Contours
Abstract
We show how to reconstruct a possible completion of the visible contour of a smooth compact surface, i.e. that part of the contour that is directly visible. The result obtained by the described algorithm is often far from optimal, however the main purpose here is to show that at least one reconstruction is possible, whereas selecting a good solution will not be addressed.
More precisely we prove that, given an oriented plane graph Γ_{0} having as vertices only Tjunctions and nonexterior terminal points, there exists an apparent contour Γ such that Γ_{0}b is the visible part of Γ.
 Publication:

Icnaam 2010: International Conference of Numerical Analysis and Applied Mathematics 2010
 Pub Date:
 September 2010
 DOI:
 10.1063/1.3497792
 Bibcode:
 2010AIPC.1281.1014B
 Keywords:

 topology;
 functional analysis;
 02.40.Pc;
 02.30.Sa;
 General topology;
 Functional analysis