M. S. Floater,
Log-concavity of B-splines,
J. Approx. Theory 300 (2024), 106042, pp. 1--5.
226K
M. S. Floater,
On best p-norm approximation of discrete data by polynomials,
to appear in IMA J. Numer. Anal.
238K
M. S. Floater and Kaibo Hu,
Supersmoothness of the Alfeld split,
to appear in the Proceedings of
Approximation theory and numerical analysis meet
algebra, geometry, topology,
Cortona, Italy, Sep 2022, Springer INdAM series,
M. Lanini, H. Schenck, and C. Manni (eds.).
202K
2023
M. S. Floater,
On a conjecture concerning interpolation by
bivariate Bernstein polynomials,
J. Approx. Theory 293 (2023), 105920, 14pp.
266K
2021
M. S. Floater, C. Manni, E. Sande, and H. Speleers,
Best low-rank approximations and Kolmogorov n-widths,
SIAM J. Matrix Anal. Appl.
42 (2021), 330-350.
374K
A. Bressan, M. S. Floater, and E. Sande,
On best constants in L2 approximation,
IMA J. Numer. Anal.
41 (2021), 2830-2840.
340K
2020
M. S. Floater and Kaibo Hu,
A characterization of supersmoothness of multivariate splines,
Adv. in Comp. Math.
46 (2020), Paper No. 70, 15pp.
260K
M. S. Floater and F. Patrizi,
Transfinite mean value interpolation over polygons,
Numerical Algorithms
85 (2020), 995-1003.
320K
Qingjun Chang, Chongyang Deng, and M. S. Floater,
An interpolatory view of polynomial least squares approximation,
J. Approx. Theory 252 (2020), 105360, 11pp.
171K
2019
M. S. Floater and E. Sande,
On periodic L2 n-widths,
J. Comp. Appl. Math.
349 (2019), 403-409.
145K
M. S. Floater and E. Sande,
Optimal spline spaces for L2 n-width problems
with boundary conditions,
Constructive Approximation
50 (2019), 1-18.
350K
2018
R. Beatson, M. S. Floater, and C. E. Kaashagen,
Hermite mean value interpolation on polygons,
Comp. Aided Geom. Design.
60 (2018), 18-27.
564K
2017
M. S. Floater,
Polynomial interpolation on interlacing rectangular grids,
J. Approx. Theory
222 (2017), 64-73.
139K
M. S. Floater and E. Sande,
Optimal spline spaces of higher degree for L2 n-widths,
J. Approx. Theory
216 (2017), 1-15.
154K
M. S. Floater and A. Gillette,
Nodal bases for the serendipity family of finite elements,
FoCM
17 (2017), 879-893.
277K
2016
M. S. Floater,
On the monotonicity of generalized barycentric coordinates on
convex polygons,
Comp. Aided Geom. Design.
42 (2016), 34-39.
105K
M. S. Floater,
A generalized mean value property
for polyharmonic functions,
Numer. Alg.
73 (2016), 157-165.
109K
M. S. Floater and M.-J. Lai,
Polygonal spline spaces and the numerical solution
of the Poisson equation,
SIAM J. Numer. Anal.
54 (2016), 797-824.
4.1M
2015
M. S. Floater,
Optimality of gradient bound for polyhedral
Wachspress coordinates, in
Curves and surfaces:
8th International Conference, Paris, France, June 12-18, 2014,
J.-D. Boissonat et al. (eds.), Springer, 2015, pp. 210-215.
157K
M. S. Floater,
The inverse of a rational bilinear mapping,
Comp. Aided Geom. Design.
33 (2015), 46-50.
284K
M. S. Floater,
Generalized barycentric coordinates and applications,
Acta Numerica
24 (2015), 161-214.
487K
M. S. Floater,
Bezier curves and surfaces,
an entry for the Encyclopedia of Applied and Computational
Mathematics, Springer.
107K
2014
M. S. Floater,
Wachspress and mean value coordinates,
in Approximation Theory XIV: San Antonio 2013,
G. Fasshauer and L. L. Schumaker (eds.), Springer, 2014, pp. 81-102.
327K
M. S. Floater, A. Gillette, N. Sukumar,
Gradient bounds for Wachspress coordinates on polytopes,
SIAM J. Numer. Anal.
52 (2014) 515-532.
731K
N. Dyn and M. S. Floater,
Multivariate polynomial interpolation on lower sets,
J. Approx. Theory
177 (2014) 34-42.
119K
2013
T. Schneider, K. Hormann, and M. S. Floater,
Bijective composite mean value mappings,
Eurographics Symposium on Geometry Processing 2013
32 (2013), 137-146.
13M
M. S. Floater and B. P. Siwek,
Analysis of Hermite subdivision using piecewise polynomials,
BIT Numer. Math.
53 (2013), 397-409.
273K
M. S. Floater, C. Beccari, T. Cashman, and L. Romani,
A smoothness criterion for monotonicity-preserving subdivision,
Adv. in Comp. Math.
39 (2013), 193-204.
149K
2011
M. S. Floater,
The loss of Holder regularity of
four-point interpolatory subdivision
on irregularly spaced points,
Jaen Journal on Approximation 3 (2011), 261-270.
148K
J.-P. Berrut, M. S. Floater, and G. Klein,
Convergence rates of derivatives of a family of
barycentric rational interpolants,
Appl. Numer. Math. 61 (2011), 989-1000.
303K
M. S. Floater,
The approximation order of four-point interpolatory
curve subdivision, J. Comp. Appl. Math.
236 (2011), 476-481.
123K
G. Muntingh and M. S. Floater,
Divided differences of implicit functions,
Math. Comp. 80 (2011), 2185-2195.
178K
M. S. Floater,
A piecewise polynomial approach
to analyzing interpolatory subdivision,
J. Approx. Theory 163 (2011), 1547-1563.
250K
2010
M. S. Floater and J. Kosinka,
Barycentric interpolation and mappings on smooth convex domains,
in Proc. 14th ACM Symposium on
Solid and Physical Modeling, 2010, Haifa, Israel,
G. Elber et al. (eds.),
pp. 111-116.
198K
M. S. Floater,
A chain rule for multivariate divided differences,
BIT Numer. Math. 50 (2010), 577-586.
129K
M. S. Floater and J. Kosinka,
On the injectivity of Wachspress and mean value mappings
between convex polygons,
Adv. in Comp. Math. 32 (2010), 163-174.
361K
S. Bruvoll and M. S. Floater,
Transfinite mean value interpolation in general dimension,
J. Comp. Appl. Math. 233 (2010), 1631-1639.
111K
2009
N. Dyn, M. S. Floater, and K. Hormann,
Four-point curve subdivision based on iterated chordal
and centripetal parameterizations,
Comp. Aided Geom. Design.
26 (2009), 279-286.
922K
C. Dyken and M. S. Floater,
Transfinite mean value interpolation,
Comp. Aided Geom. Design.
26 (2009), 117-134.
2.1M
2008
M. S. Floater and T. Lyche,
Divided differences of inverse functions
and partitions of a convex polygon,
Math. Comp. 77 (2008), 2295-2308.
153K
M. S. Floater and C. Schulz,
Pointwise radial minimization:
Hermite interpolation on arbitrary domains,
Comp. Graphics Forum 27 (2008), 1505-1512
(Proc. of Symposium on Geometry Processing 2008).
2.5M
M. S. Floater,
On the deviation of a parametric cubic spline
interpolant from its data polygon,
Comp. Aided Geom. Design.
25 (2008), 148-156.
242K
2007
M. S. Floater, A. F. Rasmussen, and U. Reif,
Extrapolation Methods for Approximating
Arc Length and Surface Area,
Numerical Algorithms 44 (2007), 235-248.
327K
M. S. Floater and K. Hormann,
Barycentric rational interpolation with
no poles and high rates of approximation,
Numer. Math. 107 (2007), 315-331.
264K
T. Volodine, M. S. Floater, and D. Roose,
Volumetric Snapping: Watertight Triangulation of Point Clouds,
in Proceedings of GRAPP 2007,
J. Braz, P.-P. Vazquez, and J. M. Pereira (eds.),
vol GM/R, pp. 53-60, 2007.
10.9M
M. S. Floater and T. Lyche,
Two chain rules for divided differences
and Faa di Bruno's formula,
Math. Comp. 76 (2007), 867-877.
136K
2006
K. Hormann and M. S. Floater,
Mean value coordinates for arbitrary planar polygons,
ACM Trans. on Graphics 25 (2006), 1424-1441.
6.6M
M. S. Floater,
High order approximation of
rational curves by polynomial curves,
Comp. Aided Geom. Design. 23 (2006), 621-628.
135K
M. S. Floater and A. F. Rasmussen,
Point-based methods for estimating the length
of a parametric curve,
J. Comp. Appl. Math. 196 (2006), 512-522.
138K
C. Dyken and M. S. Floater,
Preferred directions for resolving the
non-uniqueness of Delaunay triangulations,
Computational Geometry 34 (2006), 96-101.
104K
M. S. Floater,
Chordal cubic spline interpolation
is fourth order accurate,
IMA J. Numer. Anal. 26 (2006), 25-33.
95K
M. S. Floater, K. Hormann, and G. Kos,
A general construction of barycentric coordinates
over convex polygons,
Advances in Comp. Math. 24 (2006), 311-331.
1.2M
M. S. Floater and V. Pham-Trong,
Convex combination maps over
triangulations, tilings, and tetrahedral meshes,
Advances in Comp. Math. 25 (2006), 347-356.
106K
M. S. Floater and T. Surazhsky,
Parameterization for curve interpolation,
in Topics in multivariate approximation and interpolation,
K. Jetter et al. (eds.), Elsevier, (2006), 39-54.
975K
2005
M. S. Floater,
Arc length estimation and the convergence
of polynomial curve interpolation,
BIT Numer. Math. 45 (2005), 679-694.
175K
N. Dyn, M. S. Floater, K. Hormann,
A C2 Four-Point Subdivision Scheme with
Fourth Order Accuracy and its Extensions,
in
Mathematical Methods for Curves and Surfaces: Tromso 2004,
M. Daehlen, K. Morken, and L. L. Schumaker (eds.),
2005, 145-156.
354K
M. S. Floater, G. Kos, and M. Reimers,
Mean value coordinates in 3D,
Comp. Aided Geom. Design 22 (2005), 623-631.
961K
M. S. Floater,
On the convergence of derivatives of
Bernstein approximation,
J. Approx. Theory 134 (2005), 130-135.
76K
M. S. Floater and K. Hormann,
Surface Parameterization: a Tutorial and Survey,
in Advances in Multiresolution
for Geometric Modelling,
N. A. Dodgson, M. S. Floater, and M. A. Sabin (eds.),
Springer-Verlag, Heidelberg, 2005, 157-186.
536K
L. Demaret, N. Dyn, M. S. Floater and A. Iske,
Adaptive Thinning for Terrain Modelling
and Image Compression,
in Advances in Multiresolution
for Geometric Modelling,
N. A. Dodgson, M. S. Floater, and M. A. Sabin (eds.),
Springer-Verlag, Heidelberg, 2005, 319-338.
1.2M
2003
M. S. Floater,
Error formulas for divided difference
expansions and numerical differentiation,
J. Approx. Theory 122 (2003), 1-9.
83K
M. S. Floater,
Analysis of curve reconstruction by meshless parameterization,
Numerical Algorithms 32 (2003), 87-98.
111K
M. S. Floater,
Mean value coordinates,
Comp. Aided Geom. Design 20 (2003), 19-27.
300K.
M. S. Floater,
One-to-one piecewise linear mappings over triangulations,
Math. Comp. 72 (2003), 685-696.
150K
2002
M. S. Floater and K. Hormann,
Parameterization of triangulations and unorganized points,
in Tutorials on Multiresolution in Geometric Modelling,
A. Iske, E. Quak, and M. S. Floater (eds.),
Springer-Verlag, Heidelberg (2002), 287-315.
1.02M
M. S. Floater, K. Hormann, and M. Reimers,
Parameterization of manifold triangulations,
in Approximation Theory X: Abstract and Classical Analysis,
C. K. Chui, L. L. Schumaker, and J. Stockler (eds),
Vanderbilt University Press, Nashville (2002), 197-209.
265K
M. S. Floater,
Convex combination maps, in
Algorithms for Approximation IV,
J. Levesley, I. J. Anderson, and J. C. Mason (eds.),
University of Huddersfield, 2002, 18-23.
1.56M
N. Dyn, M. S. Floater, and A. Iske,
Adaptive thinning for bivariate scattered data,
J. Comp. Appl. Math. 145 (2002), 505-517.
752K
J. M. Carnicer, M. S. Floater, and J. M. Pena,
The distance of a curve to its control polygon,
Rev. R. Acad. Cien. Serie A. Mat. (RACSAM)
96 (2002), 175-183.
115K
2001
M. S. Floater and M. Reimers,
Meshless parameterization and surface reconstruction,
Comp. Aided Geom. Design 18 (2001), 77-92.
1.85M
M. S. Floater and E. G. Quak,
Piecewise linear wavelets on Type-2 triangulations,
Computing Supplement 14 (2001), 89-103.
170K
N. Dyn, M. S. Floater, and A. Iske,
Univariate adaptive thinning, in
Mathematical Methods for Curves and Surfaces: Oslo 2000,
T. Lyche and L. L. Schumaker (eds.),
Vanderbilt Univ. Press, Nashville, (2001), 123-134.
192K
2000
M. S. Floater and E. G. Quak,
Linear independence and stability
of piecewise linear prewavelets on arbitrary triangulations,
SIAM J. Numer. Anal. 38 (2000), 58-79.
233K
M. S. Floater,
Meshless parameterization and B-spline surface approximation,
in The Mathematics of Surfaces IX,
R. Cipolla and R. Martin (eds.),
Springer-Verlag (2000), 1-18.
1.3M,
M. S. Floater and J. M. Pena,
Monotonicity Preservation on Triangles,
Math. Comp. 69 (2000), 1505-1519.
143K
M. S. Floater, E. G. Quak and M. Reimers,
Filter Bank Algorithms for Piecewise Linear
Prewavelets on Arbitrary Triangulations,
J. Comp. Appl. Math. 119 (2000), 185-207.
1.47M
M. S. Floater and T. Lyche,
Asymptotic Convergence of Degree-Raising,
Adv. in Comp. Math. 12 (2000), 175-187.
125K
1999
M. S. Floater,
Shape Properties of Tensor-Product Bernstein Polynomials,
in Shape preserving representations in
Computer-Aided Geometric Design, J. M. Pena (ed.),
Nova Science Publications, New York, (1999), 149-162.
134K
M. S. Floater and E. Quak,
Piecewise Linear Prewavelets on Arbitrary Triangulations,
Numer. Math. 82 (1999), 221-252.
779K
M. S. Floater and C. Gotsman,
How to Morph Tilings Injectively,
J. Comp. Appl. Math. 101 (1999), 117-129.
129K
M. S. Floater,
Total positivity and convexity preservation,
J. Approx. Theory 96 (1999), 46-66.
145K
1998
M. S. Floater and E. Quak,
A Semi-Prewavelet Approach to Piecewise Linear Prewavelets on
Triangulations, in
Approximation Theory IX, Vol 2: Computational Aspects,
C. K. Chui and L. L. Schumaker (eds.),
Vanderbilt University Press, Nashville, (1998), 60-73.
161K
M. S. Floater,
Parametric tilings and scattered data approximation,
International Journal of Shape Modeling 4 (1998), 165-182.
351K
M. S. Floater and J. M. Pena,
Tensor-product Monotonicity Preservation,
Advances in Comp. Math. 9 (1998), 353-362.
98K
M. S. Floater and A. Iske,
Thinning algorithms for scattered data interpolation,
BIT Numer. Math. 38 (1998), 705-720.
302K
M. S. Floater,
Local and global convexity preservation,
in Mathematical Methods for Curves and Surfaces II,
M. Daehlen, T. Lyche and L. L. Schumaker (eds.),
Vanderbilt University Press, Nashville, (1998), 183-190.
104K
M. S. Floater and C. A. Micchelli,
Nonlinear means in geometric modeling,
in Approximation Theory: in Memory of
A. K. Varma,
N. K. Govil, R. N. Mohapatra, Z. Nashed, A. Sharma
and J. Szabados (eds.), Marcel Dekker, New York (1998), 197-207.
103K
M. S. Floater and C. A. Micchelli,
Nonlinear stationary subdivision,
in Approximation Theory: in Memory of
A. K. Varma,
N. K. Govil, R. N. Mohapatra, Z. Nashed, A. Sharma
and J. Szabados (eds.), Marcel Dekker, New York (1998), 209-224.
133K
1997
J. M. Carnicer, M. S. Floater, and J. M. Pena,
Linear convexity conditions for rectangular
and triangular Bernstein-Bezier surfaces,
Computer Aided Geometric Design 5 (1997), 27-38.
137K
J. M. Carnicer, M. S. Floater, and J. M. Pena,
On systems of functions satisfying hodograph properties,
in Mathematics of Surfaces VII,
Tim Goodman and Ralph Martin (eds.),
Information Geometers, Bath (1997), 497-507.
117K
M. S. Floater and A. Iske,
Thinning, inserting, and swapping scattered data,
in Surface Fitting and Multiresolution Methods,
A. Le Mehaute, C. Rabut, and L. L. Schumaker (eds.),
Vanderbilt University Press, Nashville (1997), 139-144.
116K
M. S. Floater,
A counterexample to a theorem about the convexity
of Powell-Sabin elements, Comp. Aided Geom. Design 14
(1997), 383-385.
46K
M. S. Floater,
An O(h^{2n}) Hermite approximation for conic sections,
Comp. Aided Geom. Design 14 (1997), 135-151.
206K
M. S. Floater,
Parametrization and smooth approximation of
surface triangulations, Comp. Aided Geom. Design 14
(1997), 231-250.
513K
1996
J. M. Carnicer and M. S. Floater,
Piecewise linear interpolants to
Lagrange and Hermite convex scattered data,
Numerical Algorithms 13 (1996), 345-364.
205K
M. S. Floater and A. Iske,
Thinning and approximation of large sets of scattered
data, in Advances in Multivariate Approximation,
F. Fontanella, K. Jetter, P.-J. Laurent (eds.),
World Scientific, Singapore (1996), 87-96.
9.4M
M. S. Floater,
Scattered data interpolation and convexity,
Boletin de la Sociedad Espanola de Matematica Aplicada
9 (1996), 31-37.
J. M. Carnicer and M. S. Floater,
Co-convexity preserving curve interpolation,
in Advanced Course on Fairshape,
J. Hoschek and P. Kaklis (eds.),
Teubner, Stuttgart, (1996), 17-28.
J. M. Carnicer and M. S. Floater,
Algorithms for convexity preserving
interpolation of scattered data,
in Advanced Course on Fairshape,
J. Hoschek and P. Kaklis (eds.),
Teubner, Stuttgart, (1996), 175-184.
M. S. Floater, On zero curves of bivariate polynomials,
Advances in Comp. Math. 5 (1996), 399-415.
246K
M. S. Floater, An analysis of cubic approximation schemes
for conic sections,
Advances in Comp. Math. 5 (1996), 361-379.
186K
M. S. Floater and A. Iske,
Multistep Scattered Data Interpolation using
Compactly Supported Radial Basis Functions,
J. Comp. Appl. Math. 73 (1996), 65-78.
7.0M
1995
M. S. Floater,
High order approximation of conic sections by
quadratic splines, Comp. Aided Geom. Design 12 (1995), 617-637.
234K
M. S. Floater,
Rational cubic implicitization, in
Mathematical Methods for Curves and Surfaces,
M. Daehlen, T. Lyche and L. L. Schumaker (eds.),
Vanderbilt University Press, Nashville (1995), 151-159.
108K
1994
M. S. Floater,
A weak condition for
the convexity of tensor-product Bezier and B-spline surfaces,
Advances in Comp. Math. 2 (1994) 67-80.
128K
E. Arge and M. S. Floater,
Approximating scattered data with
discontinuities, Numerical Algorithms
8 (1994), 149-166.
378K
1993
M. Daehlen and M. S. Floater,
Iterative polynomial interpolation and data compression,
Numerical Algorithms 5 (1993), 165-177.
143K
1992
M. S. Floater,
Derivatives of rational Bezier curves,
Comp. Aided Geom. Design 9 (1992), 161-174.
110K
M. S. Floater,
Evaluation and properties of the
derivative of a NURBS curve, in Mathematical Methods in CAGD,
T. Lyche and L. L. Schumaker (eds.), Academic Press,
Boston (1992), 261-274.
117K
1991
M. S. Floater,
Blow-up at the boundary for
degenerate semilinear parabolic equations,
Arch. Rat. Mec. Anal. 114 (1991), 57-77.
181K
1990
A. Stuart and M. S. Floater,
On the computation of blow-up,
Euro. J. Appl. Math. 1 (1990), 47-71.