Fractal Interpolation over Curves

2022/09/02 by Peter Massopust, Massopust, Peter R.
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #FOS: Mathematics #Functional Analysis (math.FA) #Image Processing and 3D Reconstruction

paper · pdf · doi:10.48550/arxiv.2209.01033

openalex publication_date 2022/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper introduces the novel concept of fractal interpolation over curves in Banach spaces. The contents are based on the usual methodologies involving the fractal interpolation problem over intervals but the current approach considerably extends and generalizes them and paves the way to fractal interpolation over Banach submanifolds.

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