From sketch to solid: an algebraic cross-section criterion for the realizability of a wireframe sketch

摘要

An intermediate step in the construction of a polyhedron from a partial-view sketch is the derivation of a realizable wireframe sketch, i.e., a complete sketch which is guaranteed to be the projection of a polyhedron. This paper presents a robust realizability-test based on the classical "cross-section criterion" that was developed in a geometric "ruler-and-compass" framework.