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A graph based model for the detection of tidal channels using marked point processes

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Authors

  • A. Schmidt
  • F. Rottensteiner
  • U. Soergel
  • C. Heipke

External Research Organisations

  • Technische Universität Darmstadt
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    • Citation Indexes: 3
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Details

Original languageEnglish
Pages (from-to)115-121
Number of pages7
JournalInternational Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives
Volume40
Issue number3W3
Publication statusPublished - 19 Aug 2015
EventInternational Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, ISPRS Geospatial Week 2015 - La Grande Motte, France
Duration: 28 Sept 20153 Oct 2015

Abstract

In this paper we propose a new method for the automatic extraction of tidal channels in digital terrain models (DTM) using a sampling approach based on marked point processes. In our model, the tidal channel system is represented by an undirected, acyclic graph. The graph is iteratively generated and fitted to the data using stochastic optimization based on a Reversible Jump Markov Chain Monte Carlo (RJMCMC) sampler and simulated annealing. The nodes of the graph represent junction points of the channel system and the edges straight line segments with a certain width in between. In each sampling step, the current configuration of nodes and edges is modified. The changes are accepted or rejected depending on the probability density function for the configuration which evaluates the conformity of the current status with a pre-defined model for tidal channels. In this model we favour high DTM gradient magnitudes at the edge borders and penalize a graph configuration consisting of non-connected components, overlapping segments and edges with atypical intersection angles. We present the method of our graph based model and show results for lidar data, which serve of a proof of concept of our approach.

Keywords

    Coast, Digital terrain models, Graph model, Marked point processes, RJMCMC

ASJC Scopus subject areas

Cite this

A graph based model for the detection of tidal channels using marked point processes. / Schmidt, A.; Rottensteiner, F.; Soergel, U. et al.
In: International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives, Vol. 40, No. 3W3, 19.08.2015, p. 115-121.

Research output: Contribution to journalConference articleResearchpeer review

Schmidt, A, Rottensteiner, F, Soergel, U & Heipke, C 2015, 'A graph based model for the detection of tidal channels using marked point processes', International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives, vol. 40, no. 3W3, pp. 115-121. https://doi.org/10.5194/isprsarchives-XL-3-W3-115-2015
Schmidt, A., Rottensteiner, F., Soergel, U., & Heipke, C. (2015). A graph based model for the detection of tidal channels using marked point processes. International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives, 40(3W3), 115-121. https://doi.org/10.5194/isprsarchives-XL-3-W3-115-2015
Schmidt A, Rottensteiner F, Soergel U, Heipke C. A graph based model for the detection of tidal channels using marked point processes. International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives. 2015 Aug 19;40(3W3):115-121. doi: 10.5194/isprsarchives-XL-3-W3-115-2015
Schmidt, A. ; Rottensteiner, F. ; Soergel, U. et al. / A graph based model for the detection of tidal channels using marked point processes. In: International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives. 2015 ; Vol. 40, No. 3W3. pp. 115-121.
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TY - JOUR

T1 - A graph based model for the detection of tidal channels using marked point processes

AU - Schmidt, A.

AU - Rottensteiner, F.

AU - Soergel, U.

AU - Heipke, C.

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N2 - In this paper we propose a new method for the automatic extraction of tidal channels in digital terrain models (DTM) using a sampling approach based on marked point processes. In our model, the tidal channel system is represented by an undirected, acyclic graph. The graph is iteratively generated and fitted to the data using stochastic optimization based on a Reversible Jump Markov Chain Monte Carlo (RJMCMC) sampler and simulated annealing. The nodes of the graph represent junction points of the channel system and the edges straight line segments with a certain width in between. In each sampling step, the current configuration of nodes and edges is modified. The changes are accepted or rejected depending on the probability density function for the configuration which evaluates the conformity of the current status with a pre-defined model for tidal channels. In this model we favour high DTM gradient magnitudes at the edge borders and penalize a graph configuration consisting of non-connected components, overlapping segments and edges with atypical intersection angles. We present the method of our graph based model and show results for lidar data, which serve of a proof of concept of our approach.

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