Michael S. Floater

University of Oslo — Norway

Engineering · Physical Sciences

33h-index7.1kcitations116works0.02yr avg
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Research Topics

Advanced Numerical Analysis Techniques(80), 3D Shape Modeling and Analysis(29), Computational Geometry and Mesh Generation(27), Computer Graphics and Visualization Techniques(20), Iterative Methods for Nonlinear Equations(15)

Publications115 total

Knot insertion and binary subdivision of splines
BIT Numerical Mathematics·2025Open Access
On the injectivity of mean value mappings between quadrilaterals
Advances in Computational Mathematics·2025Open Access
On the positivity of B-spline Wronskians
CALCOLO·2024Open Access
On the injectivity of mean value mappings between quadrilaterals
arXiv (Cornell University)·2024Open Access
Log-concavity of B-splines
Journal of Approximation Theory·2024Open Access
Supersmoothness of the Alfeld Split
Springer INdAM series·2024
On best p-norm approximation of discrete data by polynomials
IMA Journal of Numerical Analysis·2023
On a conjecture concerning interpolation by bivariate Bernstein polynomials
Journal of Approximation Theory·2023Open Access
A characterization of supersmoothness of multivariate splines
Advances in Computational Mathematics·2020· 18 citedOpen Access
On best constants in <i>L</i>2 approximation
IMA Journal of Numerical Analysis·2020· 4 cited
Special issue on “Generalized Barycentric Coordinates”
Computer Aided Geometric Design·2020
Transfinite mean value interpolation over polygons
Florence Research (University of Florence)·2020· 4 citedOpen Access
An interpolatory view of polynomial least squares approximation
Journal of Approximation Theory·2019· 5 citedOpen Access
Transfinite mean value interpolation over polygons
Numerical Algorithms·2019Open Access
On best constants in $L^2$ approximation
arXiv (Cornell University)·2019· 1 citedOpen Access
A characterization of supersmoothness of multivariate splines
arXiv (Cornell University)·2019· 5 citedOpen Access
On periodic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml2" display="inline" overflow="scroll" altimg="si2.gif"><mml:mi>n</mml:mi></mml:math>-widths
Journal of Computational and Applied Mathematics·2018· 10 citedOpen Access
Hermite mean value interpolation on polygons
Computer Aided Geometric Design·2018· 10 citedOpen Access
Polynomial interpolation on interlacingrectangular grids
Journal of Approximation Theory·2017· 8 citedOpen Access
Mathematical Methods for Curves and Surfaces
Lecture notes in computer science·2017· 471 cited
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Frequent Co-authors

Kai Hormann(9), Tom Lyche(4), Martin Reimers(4), Armin Iske(4), Nira Dyn(4), Larry L. Schumaker(3), Géza Kós(2), Knut Mørken(2), Christopher Dyken(2), Ewald Quak(2), Neil A. Dodgson(1), Malcolm Sabin(1), Marie‐Laurence Mazure(1), Craig Gotsman(1), Jean‐Paul Berrut(1), Georges Klein(1), Andrew M. Stuart(1), Morten Dæhlen(1), Jean‐Louis Merrien(1), Tatiana Surazhsky(1)