Abstract
Formal analysis shows that the relationship between 2D line segments which is rotationally and translationally invariant can be expressed using four independent variables (five if scale is included). The formalism leads to a language for defining local geometric constraints and describing their properties. This terminology allows us to establish a criterion for evaluating the quality of a constraint set. Finally, a 2D constraint set is described that is deemed useful in light of the criterion proposed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Goad C. Fast 3D model-based vision. In Pentland A P, editor, From Pixels to Predicates, pages 371-391, 1984.
Murray D W. Algebraic polyhedral constraints and 3D structure from motion. Proceedings of the 5th Alvey Vision Conference, Reading, pages 215-220, 1989.
Grimson W E L. The combinatorics of object recognition in cluttered environments using constrained search. Second International Conference on Computer Vision, IEEE, pages 218-227, 1988.
Grimson W E L. On the recognition of curved objects. IEEE Pattern Analysis and Machine Intelligence PAMI, 11(6):632–643, 1989.
Bray A J. Object recognition using local geometic constraints: A robust alternative to tree search. The First European Conference of Computer Vision ECCV, 1990.
Bray A J. Recognising and Tracking Polyhedral Objects. PhD thesis, School of Cognitive and Computing Sciences, University of Sussex, UK, 1990.
Lamdan Y and Wolfson H J. Geometric hashing: A general and efficient model-based recognition system. Second International Conference on Computer Vision, IEEE, pages 238-249, 1988.
Grimson W E L. On the verification of hypothesised matches in modelbased recognition. The First European Conference of Computer Vision ECCV, pages 489-498, 1990.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag London Limited
About this paper
Cite this paper
Bray, A.J., Hlavac, V. (1991). Properties of Local Geometric Constraints. In: Mowforth, P. (eds) BMVC91. Springer, London. https://doi.org/10.1007/978-1-4471-1921-0_13
Download citation
DOI: https://doi.org/10.1007/978-1-4471-1921-0_13
Publisher Name: Springer, London
Print ISBN: 978-3-540-19715-7
Online ISBN: 978-1-4471-1921-0
eBook Packages: Springer Book Archive