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Morphologically-aware elimination of flat edges from a TIN

Published: 05 November 2013 Publication History

Abstract

We propose a new technique for eliminating flat edges from a Triangulated Irregular Network (TIN) in a morphologically consistent way. The algorithm is meant to be a preprocessing step for performing morphological computations on a terrain. Terrain morphology is rooted in Morse theory for smooth functions. Segmentation algorithms have been defined for TINs, mostly based on discrete versions of Morse theory, and under the assumption that the terrain model does not include flat edges. On the other hand, flat edges often occur in real data, and thus either they are eliminated through data perturbation, or the segmentation algorithms must be able to deal with them. In both cases, the resulting Morse segmentations are highly affected by the presence of flat edges. The new technique we propose provides a better solution, as it preserves the set of maxima and minima of the original terrain, and improves consistency among the terrain decompositions produced by different segmentation algorithms.

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cover image ACM Conferences
SIGSPATIAL'13: Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
November 2013
598 pages
ISBN:9781450325219
DOI:10.1145/2525314
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 05 November 2013

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Author Tags

  1. morphological analysis
  2. segmentation
  3. terrain modeling
  4. triangulated irregular networks

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Overall Acceptance Rate 257 of 1,238 submissions, 21%

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Cited By

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  • (2017)A continuous scale-space method for the automated placement of spot heights on mapsComputers & Geosciences10.1016/j.cageo.2017.09.003109:C(216-227)Online publication date: 1-Dec-2017
  • (2017)Hierarchical Forman Triangulation: A multiscale model for scalar field analysisComputers & Graphics10.1016/j.cag.2017.05.01566(113-123)Online publication date: Aug-2017
  • (2016)BBTM: New life for old ATM paradigms2016 IEEE/AIAA 35th Digital Avionics Systems Conference (DASC)10.1109/DASC.2016.7778034(1-10)Online publication date: Sep-2016
  • (2016)A Global “Natural” Grid Model Based on the Morse ComplexIOP Conference Series: Earth and Environmental Science10.1088/1755-1315/46/1/01202146(012021)Online publication date: 21-Nov-2016
  • (2016)Computing a discrete Morse gradient from a watershed decompositionComputers and Graphics10.1016/j.cag.2016.05.02058:C(43-52)Online publication date: 1-Aug-2016
  • (2015)Morse complexes for shape segmentation and homological analysisComputer Graphics Forum10.1111/cgf.1259634:2(761-785)Online publication date: 1-May-2015
  • (2014)Experimental Analysis and ComparisonsMorphological Modeling of Terrains and Volume Data10.1007/978-1-4939-2149-2_7(105-116)Online publication date: 24-Sep-2014
  • (2014)Watershed AlgorithmsMorphological Modeling of Terrains and Volume Data10.1007/978-1-4939-2149-2_4(59-68)Online publication date: 24-Sep-2014
  • (2014)Boundary-Based and Region-Growing AlgorithmsMorphological Modeling of Terrains and Volume Data10.1007/978-1-4939-2149-2_3(37-58)Online publication date: 24-Sep-2014
  • (2014)Morphology Computation Algorithms: GeneralitiesMorphological Modeling of Terrains and Volume Data10.1007/978-1-4939-2149-2_2(25-36)Online publication date: 24-Sep-2014

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