Work

A universal approach to blossoming with applications to Bernstein bases and Bézier curves for arbitrary function spaces

Year: 2025

Type: article

Abstract: We present a general constructive approach to blossoming for arbitrary finite dimensional univariate function spaces by altering the diagonal property of the classical blossom. We apply this approach to blossoming to develop the corresponding theory of Bernstein bases and Bézier curves including de Casteljau type algorithms for evaluation and subdivision as well as a Marsden identity for arbitrary finite dimensional univariate function spaces.

Source: CALCOLO

DOI: 10.1007/s10092-025-00644-1

Authors: Ron Goldman, Ilija Jegdic, Plamen Simeonov

Institutions: Rice University, Texas Southern University, University of Houston - Downtown

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4410187650