ACM Computing Surveys (CSUR)
Artificial intelligence (2nd ed.)
Artificial intelligence (2nd ed.)
The complexity of recognizing polyhedral scenes
Journal of Computer and System Sciences - 26th IEEE Conference on Foundations of Computer Science, October 21-23, 1985
The Tractability of Segmentation and Scene Analysis
International Journal of Computer Vision
Constraints Between Distant Lines in the Labelling of Line Drawings of Polyhedral Scenes
International Journal of Computer Vision
Journal of Mathematical Imaging and Vision
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A well-known method for interpreting planar projections (images) of three-dimensional polyhedra is to label their lines by the Clowes-Huffman scheme. However, the question of whether there is such a labeling has been shown to be NP-complete. A linear-in-time algorithm is given that answers the labelability question under the assumption that some information is known about those edges of the polyhedron both of whose faces are visible. In many cases, this information can be derived from the image itself. Moreover, the algorithm has an effective parallel version, i.e. with polynomially many processors it can be executed in time polynomial in log n.