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Michael S. Floater

Michael S. Floater

D-Index & Metrics

Mathematics

D-Index
37
Citations
9993
World Ranking
2424
National Ranking
15

Overview

Michael S. Floater is affiliated with the University of Oslo in Norway. Their research focuses on several interrelated fields, primarily within engineering, mathematics, and computer science.

Their work spans multiple subfields, including computational mechanics, computational theory and mathematics, numerical analysis, applied mathematics, and geometry and topology.

Michael S. Floater has contributed extensively to topics such as advanced numerical analysis techniques, matrix theory and algorithms, advanced numerical methods in computational mathematics, mathematics and applications, iterative methods for nonlinear equations, numerical methods in engineering, and 3D shape modeling and analysis.

Frequent coauthors in their research include:

  • Kaibo Hu
  • Georg Muntingh
  • Andrea Bressan
  • Espen Sande
  • Francesco Patrizi

Their publications appear in various academic venues, with repeated contributions to:

  • Advances in Computational Mathematics
  • IMA Journal of Numerical Analysis
  • Journal of Approximation Theory
  • Florence Research (University of Florence)
  • Computer Aided Geometric Design

Recent papers authored by Michael S. Floater include:

  • A characterization of supersmoothness of multivariate splines (2020), published in Advances in Computational Mathematics
  • Transfinite mean value interpolation over polygons (2020), published in Florence Research (University of Florence)
  • Special issue on "Generalized Barycentric Coordinates" (2020), published in Computer Aided Geometric Design
  • On a conjecture concerning interpolation by bivariate Bernstein polynomials (2023), published in Journal of Approximation Theory

Michael S. Floater's research integrates multiple domains of numerical and computational mathematics, emphasizing analytical methods and applications within engineering contexts. Their collaborations and publications reflect sustained contributions to computational techniques and theoretical advancements relevant to their fields of study.

Best Publications

  • Mean value coordinates

    Michael S. Floater

  • Surface Parameterization: a Tutorial and Survey

    Michael S. Floater;Kai Hormann

  • Parametrization and smooth approximation of surface triangulations

    Michael S. Floater

  • Mathematical Methods for Curves and Surfaces

    Michael Floater;Tom Lyche;Marie-Laurence Mazure;Knut Mørken

  • Barycentric rational interpolation with no poles and high rates of approximation

    Michael S. Floater;Kai Hormann

  • Multistep scattered data interpolation using compactly supported radial basis functions

    Michael S. Floater;Armin Iske

  • Mean value coordinates in 3D

    Michael S. Floater;Géza Kós;Martin Reimers

  • Mean value coordinates for arbitrary planar polygons

    Kai Hormann;Michael S. Floater

  • A general construction of barycentric coordinates over convex polygons

    Michael S. Floater;Kai Hormann;Géza Kós

  • Meshless parameterization and surface reconstruction

    Michael S. Floater;Martin Reimers

  • Generalized barycentric coordinates and applications

    Michael S. Floater

  • Advances in multiresolution for geometric modelling

    Neil A. Dodgson;Michael S. Floater;Malcolm A. Sabin

  • One-to-one piecewise linear mappings over triangulations

    Michael S. Floater

  • How to morph tilings injectively

    Michael S. Floater;Craig Gotsman

  • Blow-up at the boundary for degenerate semilinear parabolic equations

    M. S. Floater

  • Tutorials on Multiresolution in Geometric Modelling

    Armin Iske;Ewald Quak;Michael S. Floater

  • Gradient Bounds for Wachspress Coordinates on Polytopes

    Michael S. Floater;Andrew Gillette;N. Sukumar

  • An O( h 2 n ) Hermite approximation for conic sections

    Michael S. Floater

  • Adaptive thinning for bivariate scattered data

    N. Dyn;M. S. Floater;A. Iske

  • High-order approximation of conic sections by quadratic splines

    Michael Floater

  • Error formulas for divided difference expansions and numerical differentiation

    Michael S. Floater

Frequent Co-Authors

Tom Lyche
Tom Lyche University of Oslo
Nira Dyn
Nira Dyn Tel Aviv University
Neil A. Dodgson
Neil A. Dodgson Victoria University of Wellington
Juan Manuel Peña
Juan Manuel Peña University of Zaragoza
Larry L. Schumaker
Larry L. Schumaker Vanderbilt University
Hans-Peter Seidel
Hans-Peter Seidel Max Planck Institute for Informatics
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Charles K. Chui
Charles K. Chui Hong Kong Baptist University
Craig Gotsman
Craig Gotsman New Jersey Institute of Technology
Dirk Roose
Dirk Roose KU Leuven

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