Creating virtual models of real spaces and objects is cumbersome and time consuming. This paper focuses on the problem of geometric reconstruction from sparse data obtained from certain image-based modeling approaches. A number of elegant and simple-to-state problems arise concerning when the geometry can be reconstructed. We describe results and counterexamples, and list open problems.
@article{arxiv.1003.3499,
title = {Geometric reconstruction from point-normal data},
author = {Eleanor G. Rieffel and Don Kimber and Jim Vaughan},
journal= {arXiv preprint arXiv:1003.3499},
year = {2010}
}