TY - GEN
T1 - An algebraic approach to line-drawing analysis in the presence of uncertainty
AU - Ponce, Jean
AU - Shimshoni, Ilan
PY - 1992
Y1 - 1992
N2 - Following the work of K. Sugihara (1984), the authors represent the geometric constraints imposed by the line-drawing of a polyhedron as a set of linear equalities and inequalities. They, however, explicitly take into account the uncertainty in the vertex position. This allows the circumvent ion of the superstrictness of the constraints without deleting any constraints. For a given error bound, deciding whether a line-drawing is the correct projection of a polyhedron is reduced to optimization under linear constraints. The approach has been implemented, and examples are presented.
AB - Following the work of K. Sugihara (1984), the authors represent the geometric constraints imposed by the line-drawing of a polyhedron as a set of linear equalities and inequalities. They, however, explicitly take into account the uncertainty in the vertex position. This allows the circumvent ion of the superstrictness of the constraints without deleting any constraints. For a given error bound, deciding whether a line-drawing is the correct projection of a polyhedron is reduced to optimization under linear constraints. The approach has been implemented, and examples are presented.
UR - http://www.scopus.com/inward/record.url?scp=0026987043&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0026987043
SN - 0818627204
T3 - Proceedings - IEEE International Conference on Robotics and Automation
SP - 1786
EP - 1791
BT - Proceedings - IEEE International Conference on Robotics and Automation
PB - Publ by IEEE
T2 - Proceedings of the 1992 IEEE International Conference on Robotics and Automation
Y2 - 12 May 1992 through 14 May 1992
ER -