Michael S. Floater

J. Approx. Theory, September, 2023

2021

Best Low-rank Approximations and Kolmogorov n-widths.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2021

2020

Transfinite mean value interpolation over polygons.

[BibT_eX]

[DOI]

Francesco Patrizi

Numer. Algorithms, 2020

An interpolatory view of polynomial least squares approximation.

[BibT_eX]

[DOI]

Qingjun Chang

Chongyang Deng

J. Approx. Theory, 2020

Special issue on "Generalized Barycentric Coordinates".

[BibT_eX]

[DOI]

N. Sukumar

Comput. Aided Geom. Des., 2020

A characterization of supersmoothness of multivariate splines.

[BibT_eX]

[DOI]

Kaibo Hu

Adv. Comput. Math., 2020

2019

On periodic L2 n-widths.

[BibT_eX]

[DOI]

Espen Sande

J. Comput. Appl. Math., 2019

On the best constants in L2 approximation.

[BibT_eX]

[DOI]

Andrea Bressan

Espen Sande

CoRR, 2019

2018

Hermite mean value interpolation on polygons.

[BibT_eX]

[DOI]

Rick Beatson

Carl Emil Kåshagen

Comput. Aided Geom. Des., 2018

2017

Optimal spline spaces of higher degree for L2 n-widths.

[BibT_eX]

[DOI]

Espen Sande

J. Approx. Theory, 2017

Polynomial interpolation on interlacingrectangular grids.

[BibT_eX]

[DOI]

J. Approx. Theory, 2017

Nodal Bases for the Serendipity Family of Finite Elements.

[BibT_eX]

[DOI]

Andrew Gillette

Found. Comput. Math., 2017

2016

Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation.

[BibT_eX]

[DOI]

Ming-Jun Lai

SIAM J. Numer. Anal., 2016

A generalized mean value property for polyharmonic functions.

[BibT_eX]

[DOI]

Numer. Algorithms, 2016

On the monotonicity of generalized barycentric coordinates on convex polygons.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2016

2015

The inverse of a rational bilinear mapping.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2015

Generalized barycentric coordinates and applications.

[BibT_eX]

[DOI]

Acta Numer., 2015

2014

Gradient Bounds for Wachspress Coordinates on Polytopes.

[BibT_eX]

[DOI]

Andrew Gillette

N. Sukumar

SIAM J. Numer. Anal., 2014

Multivariate polynomial interpolation on lower sets.

[BibT_eX]

[DOI]

Nira Dyn

J. Approx. Theory, 2014

Optimality of a Gradient Bound for Polyhedral Wachspress Coordinates.

[BibT_eX]

[DOI]

Proceedings of the Curves and Surfaces, 2014

2013

Bijective Composite Mean Value Mappings.

[BibT_eX]

[DOI]

Teseo Schneider

Comput. Graph. Forum, 2013

A smoothness criterion for monotonicity-preserving subdivision.

[BibT_eX]

[DOI]

Carolina Vittoria Beccari

Thomas J. Cashman

Lucia Romani

Adv. Comput. Math., 2013

2011

Divided differences of implicit functions.

[BibT_eX]

[DOI]

Georg Muntingh

Math. Comput., 2011

The approximation order of four-point interpolatory curve subdivision.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2011

A piecewise polynomial approach to analyzing interpolatory subdivision.

[BibT_eX]

[DOI]

J. Approx. Theory, 2011

2010

Preface.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

Transfinite mean value interpolation in general dimension.

[BibT_eX]

[DOI]

Solveig Bruvoll

J. Comput. Appl. Math., 2010

On the injectivity of Wachspress and mean value mappings between convex polygons.

[BibT_eX]

[DOI]

Jirí Kosinka

Adv. Comput. Math., 2010

Barycentric interpolation and mappings on smooth convex domains.

[BibT_eX]

[DOI]

Jirí Kosinka

Proceedings of the ACM Symposium on Solid and Physical Modeling, 2010

2009

Four-point curve subdivision based on iterated chordal and centripetal parameterizations.

[BibT_eX]

[DOI]

Nira Dyn

Comput. Aided Geom. Des., 2009

Transfinite mean value interpolation.

[BibT_eX]

[DOI]

Christopher Dyken

Comput. Aided Geom. Des., 2009

2008

Divided differences of inverse functions and partitions of a convex polygon.

[BibT_eX]

[DOI]

Math. Comput., 2008

Pointwise radial minimization: Hermite interpolation on arbitrary domains.

[BibT_eX]

[DOI]

Christian Schulz

Comput. Graph. Forum, 2008

On the deviation of a parametric cubic spline interpolant from its data polygon.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2008

2007

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2007

Extrapolation methods for approximating arc length and surface area.

[BibT_eX]

[DOI]

Atgeirr F. Rasmussen

Ulrich Reif

Numer. Algorithms, 2007

Two chain rules for divided differences and Faà di Bruno's formula.

[BibT_eX]

[DOI]

Math. Comput., 2007

Volumetric snapping: Watertight triangulation of point clouds.

[BibT_eX]

Tim Volodine

Dirk Roose

Proceedings of the GRAPP 2007, 2007

2006

Mean value coordinates for arbitrary planar polygons.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2006

Preferred directions for resolving the non-uniqueness of Delaunay triangulations.

[BibT_eX]

[DOI]

Christopher Dyken

Comput. Geom., 2006

High order approximation of rational curves by polynomial curves.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2006

Convex combination maps over triangulations, tilings, and tetrahedral meshes.

[BibT_eX]

[DOI]

Valérie Pham-Trong

Adv. Comput. Math., 2006

A general construction of barycentric coordinates over convex polygons.

[BibT_eX]

[DOI]

Géza Kós

Adv. Comput. Math., 2006

2005

On the convergence of derivatives of Bernstein approximation.

[BibT_eX]

[DOI]

J. Approx. Theory, 2005

Mean value coordinates in 3D.

[BibT_eX]

[DOI]

Géza Kós

Martin Reimers

Comput. Aided Geom. Des., 2005

Surface Parameterization: a Tutorial and Survey.

[BibT_eX]

[DOI]

Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

Adaptive Thinning for Terrain Modelling and Image Compression.

[BibT_eX]

[DOI]

Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

2003

Analysis of Curve Reconstruction by Meshless Parameterization.

[BibT_eX]

[DOI]

Numer. Algorithms, 2003

One-to-one piecewise linear mappings over triangulations.

[BibT_eX]

[DOI]

Math. Comput., 2003

Error formulas for divided difference expansions and numerical differentiation.

[BibT_eX]

[DOI]

J. Approx. Theory, 2003

Mean value coordinates.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2003

2002

Parameterization of Triangulations and Unorganized Points.

[BibT_eX]

[DOI]

Proceedings of the Tutorials on Multiresolution in Geometric Modelling, 2002

2001

Meshless parameterization and surface reconstruction.

[BibT_eX]

[DOI]

Martin Reimers

Comput. Aided Geom. Des., 2001

2000

Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations.

[BibT_eX]

[DOI]

Ewald G. Quak

SIAM J. Numer. Anal., 2000

Monotonicity preservation on triangles.

[BibT_eX]

[DOI]

Juan Manuel Peña

Math. Comput., 2000

Asymptotic convergence of degree-raising.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2000

Meshless Parameterization and B-Spline Surface Approximation.

[BibT_eX]

Proceedings of the 9th IMA Conference on the Mathematics of Surfaces, 2000

1999

Piecewise linear prewavelets on arbitrary triangulations.

[BibT_eX]

[DOI]

Ewald G. Quak

Numerische Mathematik, 1999

Piecewise Linear Wavelets Over Type-2 Triangulations.

[BibT_eX]

[DOI]

Ewald G. Quak

Proceedings of the Geometric Modelling, Dagstuhl, 1999

1998

Parametric Tilings and Scattered Data Approximation.

[BibT_eX]

[DOI]

Int. J. Shape Model., 1998

Tensor-product monotonicity preservation.

[BibT_eX]

[DOI]

Juan Manuel Peña

Adv. Comput. Math., 1998

1997

A counterexample to a theorem about the convexity of Powell-Sabin elements.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1997

Parametrization and smooth approximation of surface triangulations.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1997

An O(h2n) Hermite approximation for conic sections.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1997

Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces.

[BibT_eX]

[DOI]

Juan Manuel Peña

Comput. Aided Geom. Des., 1997

1996

Piecewise linear interpolants to Lagrange and Hermite convex scattered data.

[BibT_eX]

[DOI]

Numer. Algorithms, 1996

On zero curves of bivariate polynomials.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1996

An analysis of cubic approximation schemes for conic sections.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1996

Algorithms for convexity preserving interpolation of scattered data.

[BibT_eX]

[DOI]

Proceedings of the Advanced Course on FAIRSHAPE, 1996

Co-convexity preserving Curve Interpolation.

[BibT_eX]

[DOI]

Proceedings of the Advanced Course on FAIRSHAPE, 1996

1995

High-order approximation of conic sections by quadratic splines.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1995

1994

Approximating scattered data with discontinuities.

[BibT_eX]

[DOI]

Erlend Arge

Numer. Algorithms, 1994

A weak condition for the convexity of tensor-product Bézier and B-spline surfaces.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1994

1993

Iterative polynomial interpolation and data compression.

[BibT_eX]

[DOI]

Morten Dæhlen

Numer. Algorithms, 1993

1992

Derivatives of rational Bézier curves.

[BibT_eX]

[DOI]