Fractal interpolation on the real projective plane

Hossain, Alamgir ; Akhtar, Md. Nasim ; Navascués, Maria A.

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s11075-023-01657-z

Año: 2024

Publicado en: NUMERICAL ALGORITHMS 96 (2024), 557–582
ISSN: 1017-1398

Factor impacto JCR: 2.0 (2024)

Categ. JCR: MATHEMATICS, APPLIED rank: 65 / 344 = 0.189 (2024) - Q1 - T1

Factor impacto CITESCORE: 3.9 - Applied Mathematics (Q1)

Factor impacto SCIMAGO: 0.859 - Applied Mathematics (Q1)

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)