Three-dimensional object recognition from single two-dimensional images
Artificial Intelligence
Geometric relationships between tolerance features
Geometric reasoning
Geometric reasoning
CVGIP: Image Understanding
Geometric Constructions in the Digital Plane
Journal of Mathematical Imaging and Vision
Collinearity and Weak Collinearity in the Digital Plane
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Parallel Line Grouping Based on Interval Graphs
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Robust and Accurate Vectorization of Line Drawings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Consensus sets for affine transformation uncertainty polytopes
Computers and Graphics
Reestablishing consistency of uncertain geometric relations in digital images
Proceedings of the 11th international conference on Theoretical foundations of computer vision
From digital plane segmentation to polyhedral representation
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Reconstruction of concurrent lines from leaning points
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Uncertain geometry in computer vision
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Concurrency relations between digital planes
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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We examine the derivation of consistent concurrency relations in uncertain geometry. This work extends previous work on parallelism and collinearity. We introduce the concept of a metadomain, which is defined as the set of parameter vectors of lines passing through two domains, where a domain is defined as the uncertainty region of the parameter vector of a line segment. The intersection graph of the metadomains is introduced as the primary tool to derive concurrency relations.