Abstract
The visibility concept is related to many application fields such as robot navigation, computer graphics and telecommunication systems. In this paper we propose a new qualitative model for visibility relations based on properties of the projective space. Within the model we present a set of seven ternary relations among convex regions. Our model is capable to determine the visibility relation between a primary object A with the respect to a “region of view” C and an obstacle B. We developed the reasoning system, which allows the prediction of ternary relations between specific regions.
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Billen, R., Clementini, E.: Introducing a reasoning system based on ternary projective relations. In: Fisher, P. (ed.) Developments in Spatial Data Handling, 11th International Symposium on Spatial Data Handling, Leicester, UK, pp. 381–394 (2004)
Billen, R., Clementini, E.: Semantics of collinearity among regions. In: Meersman, R., Tari, Z., Herrero, P. (eds.) On the Move to Meaningful Internet Systems 2005: OTM 2005 Workshops. LNCS, vol. 3762, pp. 1066–1076. Springer, Heidelberg (2005)
Clementini, E., Billen, R.: Modeling and computing ternary projective relations between regions. IEEE Transactions on Knowledge and Data Engineering 18, 799–814 (2006)
Galton, A.: Lines of Sight. In: Keane, M., Cunningham, P., et al. (eds.) AI and Cognitive Science 1994 Proceedings of the Seventh Annual Conference, September 8-9, 1994, pp. 103–113. Trinity College Dublin (1994)
Isli, A., Cohn, A.G.: A new approach to cyclic ordering of 2D orientations using ternary relation algebras. Artificial Intelligence 122, 137–187 (2000)
Kohler, C.: The Occlusion Calculus. In: Workshop on Cognitive Vision Zurich Switzerland (2002)
Oommen, B., Iyengar, S., Rao, N., Kashyap, R.: Robot navigation in unknown terrains using learned visibility graphs. Part I: The disjoint convex obstacle case. IEEE Journal of Robotics and Automation 3, 672–681 (1987)
Witkowski, M., Shanahan, M., Santos, P., Randell, D.: Cognitive Robotics: On the Semantic Knife-edge. In: 3rd British Conf. on Autonomous Mobile Robotics and Autonomous Systems (2001)
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Tarquini, F., De Felice, G., Fogliaroni, P., Clementini, E. (2007). A Qualitative Model for Visibility Relations. In: Hertzberg, J., Beetz, M., Englert, R. (eds) KI 2007: Advances in Artificial Intelligence. KI 2007. Lecture Notes in Computer Science(), vol 4667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74565-5_52
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DOI: https://doi.org/10.1007/978-3-540-74565-5_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74564-8
Online ISBN: 978-3-540-74565-5
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