Three-dimensional object recognition from single two-dimensional images
Artificial Intelligence
Using tolerances to guarantee valid polyhedral modeling results
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Geometric relationships between tolerance features
Geometric reasoning
Geometric reasoning
Handbook of discrete and computational geometry
Consistent calculations for solids modeling
SCG '85 Proceedings of the first annual symposium on Computational geometry
Geometric Constructions in the Digital Plane
Journal of Mathematical Imaging and Vision
Statistical Optimization for Geometric Computation: Theory and Practice
Statistical Optimization for Geometric Computation: Theory and Practice
IEEE Transactions on Pattern Analysis and Machine Intelligence
Concurrency of Line Segments in Uncertain Geometry
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Collinearity and weak collinearity in the digital plane
Digital and image geometry
Graph-theoretical properties of parallelism in the digital plane
Discrete Applied Mathematics
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital Geometry: Geometric Methods for Digital Picture Analysis
Distinctive Image Features from Scale-Invariant Keypoints
International Journal of Computer Vision
A Comparison of Affine Region Detectors
International Journal of Computer Vision
Digital Straight Line Segments
IEEE Transactions on Computers
Scale-invariant shape features for recognition of object categories
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Segmenting, modeling, and matching video clips containing multiple moving objects
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Uncertain geometry in computer vision
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
A novel robust background modeling algorithm for complex natural scenes
Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation
Computing regions of interest for geometric features in digital images
Discrete Applied Mathematics
Transformation polytopes for line correspondences in digital images
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
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We introduce an uncertainty model for geometric transformations that can be used in computer vision as well as interactive computer graphics. The model is based on polygonal uncertainty regions, transformation polytopes and their consensus sets. The most important result of this paper is that the RANSAC algorithm can be placed in a broader framework of search algorithms that look for good parameter uncertainty polytopes. To guide the search, each polytope has a consensus set whose size is a measure for its quality.