Marker-Based Localizing for Indoor Navigation

We present a method for assigning markers to locations to enable navigation by observing short sequences of markers. A motivating application is indoor navigation, where pedestrians can determine their location using the sequence of recently encountered markers as they walk along hallways in a building. While we may solve this problem simply by assigning a unique marker to each location, such a solution limits the granularity of localization due to limits on the number of distinct markers. We present a more efficient solution that uses a sequence of recently seen markers to determine locations. We demonstrate that our solution yields significant improvements over the naive solution even when the marker-sequences are quite short, consisting of only three of four markers each.

[1]  Christine T. Cheng On Computing the Distinguishing Numbers of Trees and Forests , 2006, Electron. J. Comb..

[2]  T. Hasegawa,et al.  An experimental study on the positioning by M-CubITS , 2004, Proceedings. The 7th International IEEE Conference on Intelligent Transportation Systems (IEEE Cat. No.04TH8749).

[3]  Takaaki Hasegawa,et al.  On The M-CubITS Pedestrian Navigation System using Textured Paving Blocks and its Experiments , 2005 .

[4]  Karen L. Collins,et al.  The Distinguishing Chromatic Number , 2006, Electron. J. Comb..

[5]  Van Nostrand,et al.  Error Bounds for Convolutional Codes and an Asymptotically Optimum Decoding Algorithm , 1967 .

[6]  Debra L. Boutin,et al.  Distinguishing geometric graphs , 2006 .

[7]  Debra L. Boutin,et al.  Distinguishing geometric graphs , 2006, J. Graph Theory.

[8]  Lawrence R. Rabiner,et al.  A tutorial on hidden Markov models and selected applications in speech recognition , 1989, Proc. IEEE.

[9]  Takaaki Hasegawa,et al.  On the M-CubITS pedestrian navigation system , 2006, 2006 IEEE Intelligent Transportation Systems Conference.

[10]  Takaaki Hasegawa,et al.  On repositioning of the M-sequence lane markers system in highways and applications in intersections , 2003, Proceedings of the 2003 IEEE International Conference on Intelligent Transportation Systems.

[11]  Wilfried Imrich,et al.  Distinguishing Cartesian powers of graphs , 2006, J. Graph Theory.

[12]  S. Yamashita,et al.  On the M-CubITS pedestrian navigation system by a camera-equipped mobile phone , 2004, Proceedings. The 7th International IEEE Conference on Intelligent Transportation Systems (IEEE Cat. No.04TH8749).

[13]  Béla Bollobás,et al.  Modern Graph Theory , 2002, Graduate Texts in Mathematics.

[14]  Michael O. Albertson,et al.  Symmetry Breaking in Graphs , 1996, Electron. J. Comb..

[15]  George Cybenko,et al.  The theory of trackability with applications to sensor networks , 2008, TOSN.