Abstract
A directional relationship (e.g., right, above) to a reference object can be modeled by a directional map – an image where the value of each point represents how well the relationship holds between the point and the object. As we showed in previous work, such a map can be derived from a force field created by the object (which is seen as a physical entity). This force field-based model, defined by equations in the continuous domain, shows unique characteristics. However, the approximation algorithms that were proposed in the case of 2-D raster data lack efficiency and accuracy. We introduce here new algorithms that correct this flaw, and we illustrate the potential of the force field-based approach through an application to scene matching.
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.
Similar content being viewed by others
References
Krishnapuram, R., Keller, J.M., Ma, Y.: Quantitative Analysis of Properties and Spatial Relations of Fuzzy Image Regions. IEEE Trans. on Fuzzy Systems 1(3), 222–233 (1993)
Matsakis, P., Wendling, L.: A New Way to Represent the Relative Position between Areal Objects. IEEE Trans. on Pattern Analysis and Machine Intelligence 21(7), 634–643 (1999)
Bloch, I.: Fuzzy Relative Position Between Objects in Image Processing: A Morphological Approach. IEEE Trans. on Pattern Analysis and Machine Intelligence 21(7), 657–664 (1999)
Franklin, N., Henkel, L.A., Zangas, T.: Parsing Surrounding Space into Regions. Memory & Cognition 23(4), 397–407 (1995)
Logan, G.D., Sadler, D.D.: A Computational Analysis of the Apprehension of Spatial Relations. Language and Space, pp. 493–529. MIT Press, Cambridge (1996)
Carlson-Radvansky, L.A., Logan, G.D.: The Influence of Reference Frame Selection on Spatial Template Construction. Memory & Language 37(3), 411–437 (1997)
Gapp, K.-P.: Angle, Distance, Shape, and Their Relationship to Projective Relations. In: Proc. 17th Conf. Cognitive Science Soc., pp. 112–117 (1995)
Frank, A.U.: Qualitative Spatial Reasoning: Cardinal Directions as an Example. Int. J. of Geographical Information Systems 10(3), 269–290 (1996)
Matsakis, P., Ni, J., Veltman, M.: Directional Relationships to a Reference Object: A Quantitative Approach based on Force Fields. Submitted to ICIP 2009 (2009)
Matsakis, P., Ni, J., Wang, X.: Object Localization based on Directional Information: Case of 2D Raster Data. In: Proc. 18th Int. Conf. on Pattern Recognition, vol. 2, pp. 142–146 (2006)
Bloch, I., Saffiotti, A.: On the Representation of Fuzzy Spatial Relations in Robot Maps. In: Bouchon-Meunier, B., Foulloy, L., Yager, R.R. (eds.) Intelligent Systems for Information Processing, pp. 47–57. Elsevier, NL (2003)
Colliot, O., Camara, O., Bloch, I.: Integration of Fuzzy Spatial Relations in Deformable Models-Application to Brain MRI Segmentation. Pattern Recognition 39, 1401–1414 (2006)
Krishnapuram, R., Medasani, S., Jung, S.-H., Choi, Y.-S., Balasubramaniam, R.: Content-based Image Retrieval Based on a Fuzzy Approach. IEEE Trans. on Knowledge and Data Engineering 16(10), 1185–1199 (2004)
Smith, G.B., Bridges, S.M.: Fuzzy Spatial Data Mining. In: Proc. NAFIPS, pp. 184–189 (2002)
Matsakis, P., Keller, J., Wendling, L., Marjamaa, J., Sjahputera, O.: Linguistic Description of Relative Positions in Images. TSMC Part B 31(4), 573–588 (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ni, J., Veltman, M., Matsakis, P. (2009). Directional Force Field-Based Maps: Implementation and Application. In: Jiang, X., Petkov, N. (eds) Computer Analysis of Images and Patterns. CAIP 2009. Lecture Notes in Computer Science, vol 5702. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03767-2_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-03767-2_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03766-5
Online ISBN: 978-3-642-03767-2
eBook Packages: Computer ScienceComputer Science (R0)