133304 20260218073256.0 doi 10.1007/s11075-023-01657-z sideral 137953 ART-2024-137953 eng Hossain, Alamgir Fractal interpolation on the real projective plane 2024 Access copy available to the general public Unrestricted Formerly 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. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.0 2024 MATHEMATICS, APPLIED 65 / 344 = 0.189 2024 Q1 T1 0.859 2024 Applied Mathematics 2024 Q1 3.9 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Akhtar, Md. Nasim (orcid)0000-0003-4847-0493 Navascués, Maria A. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 96 (2024), 557–582 Numer. algorithms NUMERICAL ALGORITHMS 1017-1398 1717036 http://zaguan.unizar.es/record/133304/files/texto_completo.pdf Postprint info:eu-repo/date/embargoEnd/2024-10-05 1048382 http://zaguan.unizar.es/record/133304/files/texto_completo.jpg?subformat=icon icon Postprint info:eu-repo/date/embargoEnd/2024-10-05 oai:zaguan.unizar.es:133304 articulos driver 2026-02-17-20:26:31 ARTICLE