Michael S. Floater

Publication Activity (10 Years)

Years Active: 1992-2023
Publications (10 Years): 20

Top Topics

Poisson Equation

Interpolation Methods

Top Venues

J. Approx. Theory

Comput. Aided Geom. Des.

SIAM J. Numer. Anal.

Publications

Michael S. Floater
On a conjecture concerning interpolation by bivariate Bernstein polynomials. J. Approx. Theory 293 (2023)
Michael S. Floater, Carla Manni, Espen Sande, Hendrik Speleers
Best Low-rank Approximations and Kolmogorov n-widths. SIAM J. Matrix Anal. Appl. 42 (1) (2021)
Qingjun Chang, Chongyang Deng, Michael S. Floater
An interpolatory view of polynomial least squares approximation. J. Approx. Theory 252 (2020)
Michael S. Floater, Kaibo Hu
A characterization of supersmoothness of multivariate splines. Adv. Comput. Math. 46 (5) (2020)
Michael S. Floater, Kai Hormann, N. Sukumar
Special issue on "Generalized Barycentric Coordinates". Comput. Aided Geom. Des. 77 (2020)
Michael S. Floater, Francesco Patrizi
Transfinite mean value interpolation over polygons. Numer. Algorithms 85 (3) (2020)
Michael S. Floater, Carla Manni, Espen Sande, Hendrik Speleers
Best low-rank approximations and Kolmogorov n-widths. CoRR (2020)
Michael S. Floater, Francesco Patrizi
Transfinite mean value interpolation over polygons. CoRR (2019)
Michael S. Floater, Espen Sande
On periodic L2 n-widths. J. Comput. Appl. Math. 349 (2019)
Michael S. Floater, Kaibo Hu
A characterization of supersmoothness of multivariate splines. CoRR (2019)
Andrea Bressan, Michael S. Floater, Espen Sande
approximation. CoRR (2019)
Rick Beatson, Michael S. Floater, Carl Emil Kåshagen
Hermite mean value interpolation on polygons. Comput. Aided Geom. Des. 60 (2018)
Michael S. Floater, Espen Sande
n-widths. J. Approx. Theory 216 (2017)
Michael S. Floater
Polynomial interpolation on interlacingrectangular grids. J. Approx. Theory 222 (2017)
Michael S. Floater, Andrew Gillette
Nodal Bases for the Serendipity Family of Finite Elements. Found. Comput. Math. 17 (4) (2017)
Michael S. Floater
A generalized mean value property for polyharmonic functions. Numer. Algorithms 73 (1) (2016)
Michael S. Floater
On the monotonicity of generalized barycentric coordinates on convex polygons. Comput. Aided Geom. Des. 42 (2016)
Michael S. Floater, Ming-Jun Lai
Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation. SIAM J. Numer. Anal. 54 (2) (2016)
Michael S. Floater
Generalized barycentric coordinates and applications. Acta Numer. 24 (2015)
Michael S. Floater
The inverse of a rational bilinear mapping. Comput. Aided Geom. Des. 33 (2015)
Nira Dyn, Michael S. Floater
Multivariate polynomial interpolation on lower sets. J. Approx. Theory 177 (2014)
Michael S. Floater, Andrew Gillette, N. Sukumar
Gradient Bounds for Wachspress Coordinates on Polytopes. SIAM J. Numer. Anal. 52 (1) (2014)
Michael S. Floater
Optimality of a Gradient Bound for Polyhedral Wachspress Coordinates. Curves and Surfaces (2014)
Teseo Schneider, Kai Hormann, Michael S. Floater
Bijective Composite Mean Value Mappings. Comput. Graph. Forum 32 (5) (2013)
Michael S. Floater, Carolina Vittoria Beccari, Thomas J. Cashman, Lucia Romani
A smoothness criterion for monotonicity-preserving subdivision. Adv. Comput. Math. 39 (1) (2013)
Georg Muntingh, Michael S. Floater
Divided differences of implicit functions. Math. Comput. 80 (276) (2011)
Michael S. Floater
The approximation order of four-point interpolatory curve subdivision. J. Comput. Appl. Math. 236 (4) (2011)
Michael S. Floater
A piecewise polynomial approach to analyzing interpolatory subdivision. J. Approx. Theory 163 (11) (2011)
Michael S. Floater, Tom Lyche
Preface. J. Comput. Appl. Math. 233 (7) (2010)
Solveig Bruvoll, Michael S. Floater
Transfinite mean value interpolation in general dimension. J. Comput. Appl. Math. 233 (7) (2010)
Michael S. Floater, Jirí Kosinka
On the injectivity of Wachspress and mean value mappings between convex polygons. Adv. Comput. Math. 32 (2) (2010)
Michael S. Floater, Jirí Kosinka
Barycentric interpolation and mappings on smooth convex domains. Symposium on Solid and Physical Modeling (2010)
Nira Dyn, Michael S. Floater, Kai Hormann
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Comput. Aided Geom. Des. 26 (3) (2009)
Christopher Dyken, Michael S. Floater
Transfinite mean value interpolation. Comput. Aided Geom. Des. 26 (1) (2009)
Michael S. Floater, Christian Schulz
Pointwise radial minimization: Hermite interpolation on arbitrary domains. Comput. Graph. Forum 27 (5) (2008)
Michael S. Floater, Tom Lyche
Divided differences of inverse functions and partitions of a convex polygon. Math. Comput. 77 (264) (2008)
Michael S. Floater
On the deviation of a parametric cubic spline interpolant from its data polygon. Comput. Aided Geom. Des. 25 (3) (2008)
Tim Volodine, Michael S. Floater, Dirk Roose
Volumetric snapping: Watertight triangulation of point clouds. GRAPP (GM/R) (2007)
Michael S. Floater, Atgeirr F. Rasmussen, Ulrich Reif
Extrapolation methods for approximating arc length and surface area. Numer. Algorithms 44 (3) (2007)
Michael S. Floater, Tom Lyche
Two chain rules for divided differences and Faà di Bruno's formula. Math. Comput. 76 (258) (2007)
Michael S. Floater, Kai Hormann
Barycentric rational interpolation with no poles and high rates of approximation. Numerische Mathematik 107 (2) (2007)
Michael S. Floater, Kai Hormann, Géza Kós
A general construction of barycentric coordinates over convex polygons. Adv. Comput. Math. 24 (1-4) (2006)
Kai Hormann, Michael S. Floater
Mean value coordinates for arbitrary planar polygons. ACM Trans. Graph. 25 (4) (2006)
Michael S. Floater, Valérie Pham-Trong
Convex combination maps over triangulations, tilings, and tetrahedral meshes. Adv. Comput. Math. 25 (4) (2006)
Michael S. Floater
High order approximation of rational curves by polynomial curves. Comput. Aided Geom. Des. 23 (8) (2006)
Christopher Dyken, Michael S. Floater
Preferred directions for resolving the non-uniqueness of Delaunay triangulations. Comput. Geom. 34 (2) (2006)
Michael S. Floater
On the convergence of derivatives of Bernstein approximation. J. Approx. Theory 134 (1) (2005)
Michael S. Floater, Géza Kós, Martin Reimers
Mean value coordinates in 3D. Comput. Aided Geom. Des. 22 (7) (2005)
Michael S. Floater
Mean value coordinates. Comput. Aided Geom. Des. 20 (1) (2003)
Michael S. Floater
Error formulas for divided difference expansions and numerical differentiation. J. Approx. Theory 122 (1) (2003)
Michael S. Floater
Analysis of Curve Reconstruction by Meshless Parameterization. Numer. Algorithms 32 (1) (2003)
Michael S. Floater
One-to-one piecewise linear mappings over triangulations. Math. Comput. 72 (242) (2003)
Michael S. Floater, Martin Reimers
Meshless parameterization and surface reconstruction. Comput. Aided Geom. Des. 18 (2) (2001)
Michael S. Floater, Tom Lyche
Asymptotic convergence of degree-raising. Adv. Comput. Math. 12 (2-3) (2000)
Michael S. Floater, Ewald G. Quak
Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations. SIAM J. Numer. Anal. 38 (1) (2000)
Michael S. Floater
Meshless Parameterization and B-Spline Surface Approximation. IMA Conference on the Mathematics of Surfaces (2000)
Michael S. Floater, Juan Manuel Peña
Monotonicity preservation on triangles. Math. Comput. 69 (232) (2000)
Michael S. Floater, Ewald G. Quak
Piecewise linear prewavelets on arbitrary triangulations. Numerische Mathematik 82 (2) (1999)
Michael S. Floater, Ewald G. Quak
Piecewise Linear Wavelets Over Type-2 Triangulations. Geometric Modelling (1999)
Michael S. Floater
Parametric Tilings and Scattered Data Approximation. Int. J. Shape Model. 4 (3-4) (1998)
Michael S. Floater, Juan Manuel Peña
Tensor-product monotonicity preservation. Adv. Comput. Math. 9 (3-4) (1998)
Michael S. Floater
A counterexample to a theorem about the convexity of Powell-Sabin elements. Comput. Aided Geom. Des. 14 (4) (1997)
Jesús M. Carnicer, Michael S. Floater, Juan Manuel Peña
Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces. Comput. Aided Geom. Des. 15 (1) (1997)
Michael S. Floater
Parametrization and smooth approximation of surface triangulations. Comput. Aided Geom. Des. 14 (3) (1997)
Michael S. Floater
) Hermite approximation for conic sections. Comput. Aided Geom. Des. 14 (2) (1997)
Michael S. Floater
An analysis of cubic approximation schemes for conic sections. Adv. Comput. Math. 5 (1) (1996)
Jesús M. Carnicer, Michael S. Floater
Piecewise linear interpolants to Lagrange and Hermite convex scattered data. Numer. Algorithms 13 (2) (1996)
Michael S. Floater
On zero curves of bivariate polynomials. Adv. Comput. Math. 5 (1) (1996)
Michael S. Floater
High-order approximation of conic sections by quadratic splines. Comput. Aided Geom. Des. 12 (6) (1995)
Michael S. Floater
A weak condition for the convexity of tensor-product Bézier and B-spline surfaces. Adv. Comput. Math. 2 (1) (1994)
Erlend Arge, Michael S. Floater
Approximating scattered data with discontinuities. Numer. Algorithms 8 (2) (1994)
Morten Dæhlen, Michael S. Floater
Iterative polynomial interpolation and data compression. Numer. Algorithms 5 (3) (1993)
Michael S. Floater
Derivatives of rational Bézier curves. Comput. Aided Geom. Des. 9 (3) (1992)