doi:10.1007/s11075-023-01657-zengHossain, AlamgirAkhtar, Md. NasimNavascués, Maria A.Fractal interpolation on the real projective planeART-2024-137953Formerly 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.2024http://zaguan.unizar.es/record/13330410.1007/s11075-023-01657-zhttp://zaguan.unizar.es/record/133304oai:zaguan.unizar.es:133304NUMERICAL ALGORITHMS 96 (2024), 557–582All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess