Reconstructing Line Drawings Based on Constraints among Edges and Vertices

In the full paper, we start with a review of relevant papers. Then we propose a new method of reconstructing three-dimensional models from two- dimensional hidden-part-drawn line drawings. The hidden-part-drawn line drawings are depicted under the orthographically axonometric or the perspective projection. Some constraints between edges and vertices are given on basis of the positional relations of lines and junctions in the drawing. We have established a linear system based on these constraints. The 3D framework information of a manifold planar object can be obtained by solving the linear system. The feasibility of our method is proved by mathematics and the experiment results.