A topological index-based new smoother for spatial interpolation

dc.authoridDUMAN, İBRAHİM/0000-0002-1454-3052
dc.authoridTutmez, Bulent/0000-0002-2618-3285
dc.authorwosidTutmez, Bulent/ABG-8630-2020
dc.authorwosidDUMAN, İBRAHİM/ABE-6265-2021
dc.contributor.authorDuman, Ibrahim
dc.contributor.authorTutmez, Bulent
dc.date.accessioned2024-08-04T20:47:08Z
dc.date.available2024-08-04T20:47:08Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractDeterministic interpolation can be applied automatically by tuning only limited number of parameters. Although it is an easy way to use mapping, potential spatial relationships in a data set are widely omitted. To represent spatial relationships, a topological-index based interpolation (TIBI) has been introduced. The weighting-based smoothing uses graph theory and it numerically characterizes spatial structures as in molecular graphs utilized in organic chemistry. As a graph invariant, the topological index has ability to obtain the relationships in structure such as neighborhood and distance using matrix operations. Thus, a spatial-dependence based interpolation is performed by the topological information and structure-descriptive matrices. The determinant-based inverse weighting provides opportunity for both global and local solutions. The maim superiority of the TIBI method compared with weighted deterministic models such as ISDW is its ability to provide indirect information of areal variability based on generating a topological search. The TIBI method does not require a user-defined number of neighbors like in k-NN and also does not need strict conditions for summation of weights. The experimental studies and comparative evaluations showed that the method has robustness and transparency.en_US
dc.identifier.doi10.1007/s12145-020-00447-8
dc.identifier.endpage564en_US
dc.identifier.issn1865-0473
dc.identifier.issn1865-0481
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85079721606en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage555en_US
dc.identifier.urihttps://doi.org/10.1007/s12145-020-00447-8
dc.identifier.urihttps://hdl.handle.net/11616/99190
dc.identifier.volume13en_US
dc.identifier.wosWOS:000516182500001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofEarth Science Informaticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSpatial interpolationen_US
dc.subjectGraph theoryen_US
dc.subjectTopological indexen_US
dc.subjectInverse weightingen_US
dc.subjectSearch domainen_US
dc.titleA topological index-based new smoother for spatial interpolationen_US
dc.typeArticleen_US

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