000133304 001__ 133304 000133304 005__ 20260218073256.0 000133304 0247_ $$2doi$$a10.1007/s11075-023-01657-z 000133304 0248_ $$2sideral$$a137953 000133304 037__ $$aART-2024-137953 000133304 041__ $$aeng 000133304 100__ $$aHossain, Alamgir 000133304 245__ $$aFractal interpolation on the real projective plane 000133304 260__ $$c2024 000133304 5060_ $$aAccess copy available to the general public$$fUnrestricted 000133304 5203_ $$aFormerly the geometry was based on shapes, but since the last centuries this founding mathematical science deals with transformations, projections, and mappings. Projective geometry identifies a line with a single point, like the perspective on the horizon line and, due to this fact, it requires a restructuring of the real mathematical and numerical analysis. In particular, the problem of interpolating data must be refocused. In this paper, we define a linear structure along with a metric on a projective space, and prove that the space thus constructed is complete. Then, we consider an iterated function system giving rise to a fractal interpolation function of a set of data. 000133304 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000133304 590__ $$a2.0$$b2024 000133304 592__ $$a0.859$$b2024 000133304 591__ $$aMATHEMATICS, APPLIED$$b65 / 344 = 0.189$$c2024$$dQ1$$eT1 000133304 593__ $$aApplied Mathematics$$c2024$$dQ1 000133304 594__ $$a3.9$$b2024 000133304 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000133304 700__ $$aAkhtar, Md. Nasim 000133304 700__ $$0(orcid)0000-0003-4847-0493$$aNavascués, Maria A. 000133304 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000133304 773__ $$g96 (2024), 557–582$$pNumer. algorithms$$tNUMERICAL ALGORITHMS$$x1017-1398 000133304 8564_ $$s1717036$$uhttps://zaguan.unizar.es/record/133304/files/texto_completo.pdf$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2024-10-05 000133304 8564_ $$s1048382$$uhttps://zaguan.unizar.es/record/133304/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2024-10-05 000133304 909CO $$ooai:zaguan.unizar.es:133304$$particulos$$pdriver 000133304 951__ $$a2026-02-17-20:26:31 000133304 980__ $$aARTICLE