Analysis on Symmetric Cones by Jacques Faraut

By Jacques Faraut

Supplies self contained exposition of the geometry of symmetric cones, and develops research on those cones and at the complicated tube domain names linked to them.

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Robot pose estimation in unknown environments by matching 2D range scans. Journal of Intelligent and Robotic Systems, 1997. 8. S. T. Pfister, S. I. Roumeliotis, and J. W. Burdick. Weighted line fitting algorithms for mobile robot map building and efficient data representation. In ICRA, 2003. 9. T. R¨ ofer. Using histogram correlation to create consistent laser scan maps. In Proceedings of the IEEE International Conference on Robotics Systems (IROS2002), 2002. 10. S. Thrun. Robotic mapping: A survey.

Combinatorial Pyramids consitute the latest model of this family. Within this framework, each partition is encoded by a combinatorial map which encodes all topological relationships between regions such as multiple boundaries and inclusion relationships. Moreover, the combinatorial pyramid framework provides a direct access to the embedding of the image’s boundaries. We present in this paper a hierarchical watershed algorithm based on combinatorial pyramids. Our method overcomes the problems connected to the presence of noise both within the basins and along the watershed contours.

Marchadier, D. Arqu`es, and S. Michelin. Thinning grayscale well-composed images. Pattern Recognition Letters, 25:581–590, 2004. [12] F. Meyer. Topographic distance and watershed lines. Signal Processing, (38):113– 125, 1994. [13] A. Montanvert, P. Meer, and A. Rosenfeld. Hierarchical image analysis using irregular tessellations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(4):307–316, APRIL 1991. [14] L. Najman and M. Couprie. Watershed algorithms and contrast preservation.

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