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Scattered data interpolation using cubic trigonometric bézier triangular patch

dc.contributor.authorHashim, Ishak
dc.contributor.authorDraman, Nur Nabilah Che
dc.contributor.authorKarim, Samsul Ariffin Abdul
dc.contributor.authorYeo, Wee Ping
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-12-16T07:43:02Z
dc.date.available2022-12-16T07:43:02Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with C1 continuity everywhere. We derive the C1 condition on each adjacent triangle. On each triangular patch, we employ convex combination method between three local schemes. The final interpolant with the rational corrected scheme is suitable for regular and irregular scattered data sets. We tested the proposed scheme with 36,65, and 100 data points for some well-known test functions. The scheme is also applied to interpolate the data for the electric potential. We compared the performance between our proposed method and existing scattered data interpolation schemes such as Powell–Sabin (PS) and Clough–Tocher (CT) by measuring the maximum error, root mean square error (RMSE) and coefficient of determination (R2). From the results obtained, our proposed method is competent with cubic Bézier, cubic Ball, PS and CT triangles splitting schemes to interpolate scattered data surface. This is very significant since PS and CT requires that each triangle be splitting into several micro triangles.en_US
dc.identifier.citationHashim, Ishak...at all (2021). "Scattered data interpolation using cubic trigonometric bézier triangular patch", Computers, Materials and Continua, Vol. 69, No. 1, pp. 221-236.en_US
dc.identifier.doi10.32604/cmc.2021.016006
dc.identifier.endpage236en_US
dc.identifier.issn1546-2218
dc.identifier.issue1en_US
dc.identifier.startpage221en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5986
dc.identifier.volume69en_US
dc.language.isoenen_US
dc.relation.ispartofComputers, Materials and Continuaen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBézier Triangular Patchesen_US
dc.subjectC1sufficient Conditionen_US
dc.subjectCubic Trigonometricen_US
dc.subjectScattered Data Interpolationen_US
dc.titleScattered data interpolation using cubic trigonometric bézier triangular patchtr_TR
dc.titleScattered data interpolation using cubic trigonometric bézier triangular patchen_US
dc.typeArticleen_US
dspace.entity.typePublication

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