Topological 3D Spatial Interpolation Based on the Interval-Valued Homotopy Continuation

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dc.contributor.authorJamali, A.
dc.contributor.authorCastro, F.A.
dc.contributor.authorKaras, I.R.
dc.date.accessioned2024-09-29T16:21:17Z
dc.date.available2024-09-29T16:21:17Z
dc.date.issued2023
dc.departmentKarabük Üniversitesien_US
dc.description7th International Conference on Smart City Applications, SCA 2022 -- 19 October 2022 through 21 October 2022 -- Castelo Branco -- 291469en_US
dc.description.abstractEstimating unknown values using its surrounding measured values is called spatial interpolation, a vital tool for estimating continuous spatial data such as the earth’s surface. Construction of the Digital Elevation Model is one of the most common applications of spatial interpolation methods. There are various global and local interpolation techniques, including Kriging, Inverse Distance Weighted (IDW), Thiessen polygons (TIN), Natural Neighbor (NN), and Spline interpolation. This paper introduces the interval-valued homotopy continuation for 3D spatial data interpolation. Straight lines or algebraic curves can be reconstructed using homotopy continuation between any pairs of 3D data. The novel method of the interval-valued homotopy to restore the topographic surface between spatial data is developed in MATLAB programming language. For a dataset of ASTER GDEM, the presented mathematical algorithm shows better results compared to TIN and IDW methods in terms of Mean Squared Error, Mean Absolute Error, and Root Mean Squared Error with values of 5.2897, 1.53, and 2.299 m, respectively. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.en_US
dc.identifier.doi10.1007/978-3-031-26852-6_80
dc.identifier.endpage879en_US
dc.identifier.isbn978-303126851-9
dc.identifier.issn2367-3370
dc.identifier.scopus2-s2.0-85151152351en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage869en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-031-26852-6_80
dc.identifier.urihttps://hdl.handle.net/20.500.14619/9666
dc.identifier.volume629 LNNSen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofLecture Notes in Networks and Systemsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject3D data interpolationen_US
dc.subject3D GISen_US
dc.subjectDEMen_US
dc.subjectHomotopy continuationen_US
dc.subjectSpatial interpolationen_US
dc.titleTopological 3D Spatial Interpolation Based on the Interval-Valued Homotopy Continuationen_US
dc.typeConference Objecten_US

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