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Flow computations on imprecise terrains
dc.contributor.author | Driemel, Anne |
dc.contributor.author | Haverkort, Herman |
dc.contributor.author | Löffler, Maarten |
dc.contributor.author | Silveira, Rodrigo Ignacio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2011-11-14T11:19:51Z |
dc.date.available | 2011-11-14T11:19:51Z |
dc.date.created | 2011 |
dc.date.issued | 2011 |
dc.identifier.citation | Driemel, A. [et al.]. Flow computations on imprecise terrains. A: Algorithms and Data Structures Symposium. "2011 Workshop on Algorithms and Data Structures Symposium (WADS)". Brooklyn: Springer Verlag, 2011, p. 350-361. |
dc.identifier.isbn | 978-3-642-22299-3 |
dc.identifier.uri | http://hdl.handle.net/2117/13873 |
dc.description.abstract | We study water flow computation on imprecise terrains. We consider two approaches to modeling flow on a terrain: one where water flows across the surface of a polyhedral terrain in the direction of steepest descent, and one where water only flows along the edges of a predefined graph, for example a grid or a triangulation. In both cases each vertex has an imprecise elevation, given by an interval of possible values, while its (x, y)-coordinates are fixed. For the first model, we show that the problem of deciding whether one vertex may be contained in the watershed of another is NP-hard. In contrast, for the second model we give a simple O(n log n) time algorithm to compute the minimal and the maximal watershed of a vertex, where n is the number of edges of the graph. On a grid model, we can compute the same in O(n) time. |
dc.format.extent | 12 p. |
dc.language.iso | eng |
dc.publisher | Springer Verlag |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Operations research |
dc.subject.lcsh | Management science |
dc.subject.lcsh | Geophysics |
dc.title | Flow computations on imprecise terrains |
dc.type | Conference report |
dc.subject.lemac | Optimització i investigació operativa |
dc.subject.lemac | Física matemàtica |
dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
dc.identifier.doi | 10.1007/978-3-642-22300-6_30 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | 90B Operations research and management science |
dc.subject.ams | 86 GEOPHYSICS |
dc.relation.publisherversion | http://cataleg.upc.edu/record=b1390385~S1*cat |
dc.rights.access | Restricted access - confidentiality agreement |
local.identifier.drac | 5865694 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/251235/EU/Mathematical Foundations of High-Quality Terrain Models/MFHQTERRAINS |
local.citation.author | Driemel, A.; Haverkort, H.; Löffler, M.; Silveira, R.I. |
local.citation.contributor | Algorithms and Data Structures Symposium |
local.citation.pubplace | Brooklyn |
local.citation.publicationName | 2011 Workshop on Algorithms and Data Structures Symposium (WADS) |
local.citation.startingPage | 350 |
local.citation.endingPage | 361 |