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6D SLAM with Cached kd-tree Search

Authors: Andreas Nüchter, Kai Lingemann, and Joachim Hertzberg

Published in: Dagstuhl Seminar Proceedings, Volume 6421, Robot Navigation (2007)

Abstract

6D SLAM (Simultaneous Localization and Mapping) or 6D Concurrent Localization and Mapping of mobile robots considers six degrees of freedom for the robot pose, namely, the x, y and z coordinates and the roll, yaw and pitch angles. In previous work we presented our scan matching based 6D SLAM approach, where scan matching is based on the well known iterative closest point (ICP) algorithm [Besl 1992]. Efficient implementations of this algorithm are a result of a fast computation of closest points. The usual approach, i.e., using kd-trees is extended in this paper. We describe a novel search stategy, that leads to significant speed-ups. Our mapping system is real-time capable, i.e., 3D maps are computed using the resources of the used Kurt3D robotic hardware.

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Andreas Nüchter, Kai Lingemann, and Joachim Hertzberg. 6D SLAM with Cached kd-tree Search. In Robot Navigation. Dagstuhl Seminar Proceedings, Volume 6421, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{nuchter_et_al:DagSemProc.06421.3,
  author =	{N\"{u}chter, Andreas and Lingemann, Kai and Hertzberg, Joachim},
  title =	{{6D SLAM with Cached kd-tree Search}},
  booktitle =	{Robot Navigation},
  pages =	{1--12},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{6421},
  editor =	{S\'{a}ndor Fekete and Rudolf Fleischer and Rolf Klein and Alejandro Lopez-Ortiz},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.06421.3},
  URN =		{urn:nbn:de:0030-drops-8705},
  doi =		{10.4230/DagSemProc.06421.3},
  annote =	{Keywords: SLAM, kd tree search}
}

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DOI: 10.4230/DagSemProc.05031.27

Searching with an Autonomous Robot

Authors: Sándor Fekete, Rolf Klein, and Andreas Nüchter

Published in: Dagstuhl Seminar Proceedings, Volume 5031, Algorithms for Optimization with Incomplete Information (2005)

Abstract

We discuss online strategies for visibility-based searching for an object hidden behind a corner, using Kurt3D, a real autonomous mobile robot. This task is closely related to a number of well-studied problems. Our robot uses a three-dimensional laser scanner in a stop, scan, plan, go fashion for building a virtual three-dimensional environment. Besides planning trajectories and avoiding obstacles, Kurt3D is capable of identifying objects like a chair. We derive a practically useful and asymptotically optimal strategy that guarantees a competitive ratio of 2, which differs remarkably from the well-studied scenario without the need of stopping for surveying the environment. Our strategy is used by Kurt3D, documented in a separate video.

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Sándor Fekete, Rolf Klein, and Andreas Nüchter. Searching with an Autonomous Robot. In Algorithms for Optimization with Incomplete Information. Dagstuhl Seminar Proceedings, Volume 5031, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)

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@InProceedings{fekete_et_al:DagSemProc.05031.27,
  author =	{Fekete, S\'{a}ndor and Klein, Rolf and N\"{u}chter, Andreas},
  title =	{{Searching with an Autonomous Robot}},
  booktitle =	{Algorithms for Optimization with Incomplete Information},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{5031},
  editor =	{Susanne Albers and Rolf H. M\"{o}hring and Georg Ch. Pflug and R\"{u}diger Schultz},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.05031.27},
  URN =		{urn:nbn:de:0030-drops-1919},
  doi =		{10.4230/DagSemProc.05031.27},
  annote =	{Keywords: Searching , visibility problems , watchman problems , online searching , competitive strategies , autonomous mobile robots three-dimensional laser scanning , Kurt3D}
}

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Documents authored by Nüchter, Andreas

6D SLAM with Cached kd-tree Search

Abstract

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Searching with an Autonomous Robot

Abstract

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