An algebraic approach to shape-from-image problems
Artificial Intelligence
Machine interpretation of line drawings
Machine interpretation of line drawings
The complexity of recognizing polyhedral scenes
Journal of Computer and System Sciences - 26th IEEE Conference on Foundations of Computer Science, October 21-23, 1985
Recovering Three-Dimensional Shape from a Single Image of Curved Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Edge-Labeling Using Dictionary-Based Relaxation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Weavings, sections and projections of spherical polyhedra
Discrete Applied Mathematics
On the complexity of labeling perspective projections of polyhedral scenes
Artificial Intelligence
The complexity of understanding line drawings of Origami scenes
International Journal of Computer Vision
On the consistency of line-drawings, obtained by projections of piecewise planar objects
Journal of Mathematical Imaging and Vision
Recovering the shape of polyhedra using line-drawing analysis and complex reflectance models
Computer Vision and Image Understanding - Special issue on physics-based modeling and reasoning in computer vision
Empirically-derived estimates of the complexity of labeling line drawings of polyhedral scenes
Artificial Intelligence
Performance Evaluation and Analysis of Vanishing Point Detection Techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Linear-time algorithms for testing the realisability of line drawings of curved objects
Artificial Intelligence
Linear constraints for the interpretation of line drawings of curved objects
Artificial Intelligence
Overcoming Superstrictness in Line Drawing Interpretation
IEEE Transactions on Pattern Analysis and Machine Intelligence
An ellipsoidal calculus based on propagation and fusion
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An interactive sketching method for 3D object modeling
Proceedings of the 3rd international conference on Digital Interactive Media in Entertainment and Arts
Computing - Geometric Modelling, Dagstuhl 2008
3D Object Modeling using Sketches
Information Resources Management Journal
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Using structural geometric arguments, Whiteley showed that a line drawing is a correct projection of a spherical polyhedron if and only if it has a cross-section compatible with it. We here enlarge the class of drawings to which this test applies, including those of polyhedral disks, possibly with perforations. This extension is helpful, as it makes the test applicable to verify and reconstruct drawings from usual scenes with opaque objects.The presented results rely on geometric constructions, thus offering an alternativeapproach to line drawing interpretation, complementary to the algebraic-combinatorial treatment given in the classic work by Sugihara.