2024
Log-concavity of B-splines.
J. Approx. Theory, 2024
On the injectivity of mean value mappings between quadrilaterals.
CoRR, 2024
2023
On a conjecture concerning interpolation by bivariate Bernstein polynomials.
J. Approx. Theory, September, 2023
2021
Best Low-rank Approximations and Kolmogorov n-widths.
SIAM J. Matrix Anal. Appl., 2021
2020
Transfinite mean value interpolation over polygons.
Numer. Algorithms, 2020
An interpolatory view of polynomial least squares approximation.
J. Approx. Theory, 2020
Special issue on "Generalized Barycentric Coordinates".
Comput. Aided Geom. Des., 2020
A characterization of supersmoothness of multivariate splines.
Adv. Comput. Math., 2020
2019
J. Comput. Appl. Math., 2019
On the best constants in L<sup>2</sup> approximation.
CoRR, 2019
2018
Hermite mean value interpolation on polygons.
Comput. Aided Geom. Des., 2018
2017
Optimal spline spaces of higher degree for L<sup>2</sup> n-widths.
J. Approx. Theory, 2017
Polynomial interpolation on interlacingrectangular grids.
J. Approx. Theory, 2017
Nodal Bases for the Serendipity Family of Finite Elements.
Found. Comput. Math., 2017
2016
Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation.
SIAM J. Numer. Anal., 2016
A generalized mean value property for polyharmonic functions.
Numer. Algorithms, 2016
On the monotonicity of generalized barycentric coordinates on convex polygons.
Comput. Aided Geom. Des., 2016
2015
The inverse of a rational bilinear mapping.
Comput. Aided Geom. Des., 2015
Generalized barycentric coordinates and applications.
Acta Numer., 2015
2014
Gradient Bounds for Wachspress Coordinates on Polytopes.
SIAM J. Numer. Anal., 2014
Multivariate polynomial interpolation on lower sets.
J. Approx. Theory, 2014
Optimality of a Gradient Bound for Polyhedral Wachspress Coordinates.
Proceedings of the Curves and Surfaces, 2014
2013
Bijective Composite Mean Value Mappings.
Comput. Graph. Forum, 2013
A smoothness criterion for monotonicity-preserving subdivision.
Adv. Comput. Math., 2013
2011
Divided differences of implicit functions.
Math. Comput., 2011
The approximation order of four-point interpolatory curve subdivision.
J. Comput. Appl. Math., 2011
A piecewise polynomial approach to analyzing interpolatory subdivision.
J. Approx. Theory, 2011
2010
J. Comput. Appl. Math., 2010
Transfinite mean value interpolation in general dimension.
J. Comput. Appl. Math., 2010
On the injectivity of Wachspress and mean value mappings between convex polygons.
Adv. Comput. Math., 2010
Barycentric interpolation and mappings on smooth convex domains.
Proceedings of the ACM Symposium on Solid and Physical Modeling, 2010
2009
Four-point curve subdivision based on iterated chordal and centripetal parameterizations.
Comput. Aided Geom. Des., 2009
Transfinite mean value interpolation.
Comput. Aided Geom. Des., 2009
2008
Divided differences of inverse functions and partitions of a convex polygon.
Math. Comput., 2008
Pointwise radial minimization: Hermite interpolation on arbitrary domains.
Comput. Graph. Forum, 2008
On the deviation of a parametric cubic spline interpolant from its data polygon.
Comput. Aided Geom. Des., 2008
2007
Barycentric rational interpolation with no poles and high rates of approximation.
Numerische Mathematik, 2007
Extrapolation methods for approximating arc length and surface area.
Numer. Algorithms, 2007
Two chain rules for divided differences and Faà di Bruno's formula.
Math. Comput., 2007
Volumetric snapping: Watertight triangulation of point clouds.
Proceedings of the GRAPP 2007, 2007
2006
Mean value coordinates for arbitrary planar polygons.
ACM Trans. Graph., 2006
Preferred directions for resolving the non-uniqueness of Delaunay triangulations.
Comput. Geom., 2006
High order approximation of rational curves by polynomial curves.
Comput. Aided Geom. Des., 2006
Convex combination maps over triangulations, tilings, and tetrahedral meshes.
Adv. Comput. Math., 2006
A general construction of barycentric coordinates over convex polygons.
Adv. Comput. Math., 2006
2005
On the convergence of derivatives of Bernstein approximation.
J. Approx. Theory, 2005
Mean value coordinates in 3D.
Comput. Aided Geom. Des., 2005
Surface Parameterization: a Tutorial and Survey.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005
Adaptive Thinning for Terrain Modelling and Image Compression.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005
2003
Analysis of Curve Reconstruction by Meshless Parameterization.
Numer. Algorithms, 2003
One-to-one piecewise linear mappings over triangulations.
Math. Comput., 2003
Error formulas for divided difference expansions and numerical differentiation.
J. Approx. Theory, 2003
Comput. Aided Geom. Des., 2003
2002
Parameterization of Triangulations and Unorganized Points.
Proceedings of the Tutorials on Multiresolution in Geometric Modelling, 2002
2001
Meshless parameterization and surface reconstruction.
Comput. Aided Geom. Des., 2001
2000
Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations.
SIAM J. Numer. Anal., 2000
Monotonicity preservation on triangles.
Math. Comput., 2000
Asymptotic convergence of degree-raising.
Adv. Comput. Math., 2000
Meshless Parameterization and B-Spline Surface Approximation.
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces, 2000
1999
Piecewise linear prewavelets on arbitrary triangulations.
Numerische Mathematik, 1999
Piecewise Linear Wavelets Over Type-2 Triangulations.
Proceedings of the Geometric Modelling, Dagstuhl, 1999
1998
Parametric Tilings and Scattered Data Approximation.
Int. J. Shape Model., 1998
Tensor-product monotonicity preservation.
Adv. Comput. Math., 1998
1997
A counterexample to a theorem about the convexity of Powell-Sabin elements.
Comput. Aided Geom. Des., 1997
Parametrization and smooth approximation of surface triangulations.
Comput. Aided Geom. Des., 1997
An O(h<sub>2n</sub>) Hermite approximation for conic sections.
Comput. Aided Geom. Des., 1997
Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces.
Comput. Aided Geom. Des., 1997
1996
Piecewise linear interpolants to Lagrange and Hermite convex scattered data.
Numer. Algorithms, 1996
On zero curves of bivariate polynomials.
Adv. Comput. Math., 1996
An analysis of cubic approximation schemes for conic sections.
Adv. Comput. Math., 1996
Algorithms for convexity preserving interpolation of scattered data.
Proceedings of the Advanced Course on FAIRSHAPE, 1996
Co-convexity preserving Curve Interpolation.
Proceedings of the Advanced Course on FAIRSHAPE, 1996
1995
High-order approximation of conic sections by quadratic splines.
Comput. Aided Geom. Des., 1995
1994
Approximating scattered data with discontinuities.
Numer. Algorithms, 1994
A weak condition for the convexity of tensor-product Bézier and B-spline surfaces.
Adv. Comput. Math., 1994
1993
Iterative polynomial interpolation and data compression.
Numer. Algorithms, 1993
1992
Derivatives of rational Bézier curves.
Comput. Aided Geom. Des., 1992
