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Michael S. Floater
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2020 – today
- 2024
- [j65]Michael S. Floater:
Log-concavity of B-splines. J. Approx. Theory 300: 106042 (2024) - [i5]Michael S. Floater, Georg Muntingh:
On the injectivity of mean value mappings between quadrilaterals. CoRR abs/2407.00422 (2024) - 2023
- [j64]Michael S. Floater:
On a conjecture concerning interpolation by bivariate Bernstein polynomials. J. Approx. Theory 293: 105920 (2023) - 2021
- [j63]Michael S. Floater, Carla Manni, Espen Sande
, Hendrik Speleers
Best Low-rank Approximations and Kolmogorov n-widths. SIAM J. Matrix Anal. Appl. 42(1): 330-350 (2021) - 2020
- [j62]Michael S. Floater, Kaibo Hu:
A characterization of supersmoothness of multivariate splines. Adv. Comput. Math. 46(5): 70 (2020) - [j61]Michael S. Floater, Kai Hormann, N. Sukumar:
Special issue on "Generalized Barycentric Coordinates". Comput. Aided Geom. Des. 77: 101818 (2020) - [j60]Qingjun Chang
An interpolatory view of polynomial least squares approximation. J. Approx. Theory 252: 105360 (2020) - [j59]Michael S. Floater, Francesco Patrizi
Transfinite mean value interpolation over polygons. Numer. Algorithms 85(3): 995-1003 (2020) - [i4]Michael S. Floater, Carla Manni, Espen Sande, Hendrik Speleers:
Best low-rank approximations and Kolmogorov n-widths. CoRR abs/2007.13196 (2020)
2010 – 2019
- 2019
- [j58]Michael S. Floater, Espen Sande
On periodic L2 n-widths. J. Comput. Appl. Math. 349: 403-409 (2019) - [i3]Michael S. Floater, Kaibo Hu:
A characterization of supersmoothness of multivariate splines. CoRR abs/1906.08164 (2019) - [i2]Michael S. Floater, Francesco Patrizi:
Transfinite mean value interpolation over polygons. CoRR abs/1906.08358 (2019) - [i1]Andrea Bressan, Michael S. Floater, Espen Sande:
On the best constants in L2 approximation. CoRR abs/1909.13736 (2019) - 2018
- [j57]Rick Beatson, Michael S. Floater, Carl Emil Kåshagen:
Hermite mean value interpolation on polygons. Comput. Aided Geom. Des. 60: 18-27 (2018) - 2017
- [j56]Michael S. Floater, Andrew Gillette
Nodal Bases for the Serendipity Family of Finite Elements. Found. Comput. Math. 17(4): 879-893 (2017) - [j55]Michael S. Floater, Espen Sande
Optimal spline spaces of higher degree for L2 n-widths. J. Approx. Theory 216: 1-15 (2017) - [j54]Michael S. Floater:
Polynomial interpolation on interlacingrectangular grids. J. Approx. Theory 222: 64-73 (2017) - [e5]Michael S. Floater, Tom Lyche, Marie-Laurence Mazure, Knut Mørken, Larry L. Schumaker:
Mathematical Methods for Curves and Surfaces - 9th International Conference, MMCS 2016, Tønsberg, Norway, June 23-28, 2016, Revised Selected Papers. Lecture Notes in Computer Science 10521, Springer 2017, ISBN 978-3-319-67884-9 [contents] - 2016
- [j53]Michael S. Floater:
On the monotonicity of generalized barycentric coordinates on convex polygons. Comput. Aided Geom. Des. 42: 34-39 (2016) - [j52]Michael S. Floater:
A generalized mean value property for polyharmonic functions. Numer. Algorithms 73(1): 157-165 (2016) - [j51]Michael S. Floater, Ming-Jun Lai
Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation. SIAM J. Numer. Anal. 54(2): 797-824 (2016) - 2015
- [j50]Michael S. Floater:
Generalized barycentric coordinates and applications. Acta Numer. 24: 161-214 (2015) - [j49]Michael S. Floater:
The inverse of a rational bilinear mapping. Comput. Aided Geom. Des. 33: 46-50 (2015) - 2014
- [j48]Nira Dyn, Michael S. Floater:
Multivariate polynomial interpolation on lower sets. J. Approx. Theory 177: 34-42 (2014) - [j47]Michael S. Floater, Andrew Gillette
Gradient Bounds for Wachspress Coordinates on Polytopes. SIAM J. Numer. Anal. 52(1): 515-532 (2014) - [c5]Michael S. Floater:
Optimality of a Gradient Bound for Polyhedral Wachspress Coordinates. Curves and Surfaces 2014: 210-215 - [e4]Michael S. Floater, Tom Lyche, Marie-Laurence Mazure, Knut Mørken, Larry L. Schumaker:
Mathematical Methods for Curves and Surfaces - 8th International Conference, MMCS 2012, Oslo, Norway, June 28 - July 3, 2012, Revised Selected Papers. Lecture Notes in Computer Science 8177, Springer 2014, ISBN 978-3-642-54381-4 [contents] - 2013
- [j46]Michael S. Floater, Carolina Vittoria Beccari
A smoothness criterion for monotonicity-preserving subdivision. Adv. Comput. Math. 39(1): 193-204 (2013) - [j45]Teseo Schneider
Bijective Composite Mean Value Mappings. Comput. Graph. Forum 32(5): 137-146 (2013) - 2011
- [j44]Michael S. Floater:
A piecewise polynomial approach to analyzing interpolatory subdivision. J. Approx. Theory 163(11): 1547-1563 (2011) - [j43]Michael S. Floater:
The approximation order of four-point interpolatory curve subdivision. J. Comput. Appl. Math. 236(4): 476-481 (2011) - [j42]Georg Muntingh
Divided differences of implicit functions. Math. Comput. 80(276): 2185-2195 (2011) - 2010
- [j41]Michael S. Floater, Jirí Kosinka
On the injectivity of Wachspress and mean value mappings between convex polygons. Adv. Comput. Math. 32(2): 163-174 (2010) - [j40]Michael S. Floater, Tom Lyche:
Preface. J. Comput. Appl. Math. 233(7): 1619 (2010) - [j39]Solveig Bruvoll, Michael S. Floater:
Transfinite mean value interpolation in general dimension. J. Comput. Appl. Math. 233(7): 1631-1639 (2010) - [c4]Michael S. Floater, Jirí Kosinka
Barycentric interpolation and mappings on smooth convex domains. Symposium on Solid and Physical Modeling 2010: 111-116 - [e3]Morten Dæhlen, Michael S. Floater, Tom Lyche, Jean-Louis Merrien, Knut Mørken, Larry L. Schumaker:
Mathematical Methods for Curves and Surfaces, 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers. Lecture Notes in Computer Science 5862, Springer 2010, ISBN 978-3-642-11619-3 [contents]
2000 – 2009
- 2009
- [j38]Christopher Dyken, Michael S. Floater:
Transfinite mean value interpolation. Comput. Aided Geom. Des. 26(1): 117-134 (2009) - [j37]Nira Dyn, Michael S. Floater, Kai Hormann
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. Comput. Aided Geom. Des. 26(3): 279-286 (2009) - 2008
- [j36]Michael S. Floater:
On the deviation of a parametric cubic spline interpolant from its data polygon. Comput. Aided Geom. Des. 25(3): 148-156 (2008) - [j35]Michael S. Floater, Christian Schulz:
Pointwise radial minimization: Hermite interpolation on arbitrary domains. Comput. Graph. Forum 27(5): 1505-1512 (2008) - [j34]Michael S. Floater, Tom Lyche:
Divided differences of inverse functions and partitions of a convex polygon. Math. Comput. 77(264): 2295-2308 (2008) - 2007
- [j33]Michael S. Floater, Tom Lyche:
Two chain rules for divided differences and Faà di Bruno's formula. Math. Comput. 76(258): 867-877 (2007) - [j32]Michael S. Floater, Atgeirr F. Rasmussen
Extrapolation methods for approximating arc length and surface area. Numer. Algorithms 44(3): 235-248 (2007) - [j31]Michael S. Floater, Kai Hormann
Barycentric rational interpolation with no poles and high rates of approximation. Numerische Mathematik 107(2): 315-331 (2007) - [c3]Tim Volodine, Michael S. Floater, Dirk Roose:
Volumetric snapping: Watertight triangulation of point clouds. GRAPP (GM/R) 2007: 53-60 - 2006
- [j30]Michael S. Floater, Kai Hormann
A general construction of barycentric coordinates over convex polygons. Adv. Comput. Math. 24(1-4): 311-331 (2006) - [j29]Michael S. Floater, Valérie Pham-Trong:
Convex combination maps over triangulations, tilings, and tetrahedral meshes. Adv. Comput. Math. 25(4): 347-356 (2006) - [j28]Michael S. Floater:
High order approximation of rational curves by polynomial curves. Comput. Aided Geom. Des. 23(8): 621-628 (2006) - [j27]Christopher Dyken, Michael S. Floater:
Preferred directions for resolving the non-uniqueness of Delaunay triangulations. Comput. Geom. 34(2): 96-101 (2006) - [j26]Kai Hormann
Mean value coordinates for arbitrary planar polygons. ACM Trans. Graph. 25(4): 1424-1441 (2006) - 2005
- [j25]Michael S. Floater, Géza Kós, Martin Reimers:
Mean value coordinates in 3D. Comput. Aided Geom. Des. 22(7): 623-631 (2005) - [j24]Michael S. Floater:
On the convergence of derivatives of Bernstein approximation. J. Approx. Theory 134(1): 130-135 (2005) - [p5]Michael S. Floater, Kai Hormann
Surface Parameterization: a Tutorial and Survey. Advances in Multiresolution for Geometric Modelling 2005: 157-186 - [p4]Laurent Demaret, Nira Dyn, Michael S. Floater, Armin Iske:
Adaptive Thinning for Terrain Modelling and Image Compression. Advances in Multiresolution for Geometric Modelling 2005: 319-338 - [e2]Neil A. Dodgson
Advances in Multiresolution for Geometric Modelling. Springer 2005, ISBN 978-3-540-21462-5 [contents] - 2003
- [j23]Michael S. Floater:
Mean value coordinates. Comput. Aided Geom. Des. 20(1): 19-27 (2003) - [j22]Michael S. Floater:
Error formulas for divided difference expansions and numerical differentiation. J. Approx. Theory 122(1): 1-9 (2003) - [j21]Michael S. Floater:
One-to-one piecewise linear mappings over triangulations. Math. Comput. 72(242): 685-696 (2003) - [j20]Michael S. Floater:
Analysis of Curve Reconstruction by Meshless Parameterization. Numer. Algorithms 32(1): 87-98 (2003) - 2002
- [p3]Michael S. Floater, Kai Hormann
Parameterization of Triangulations and Unorganized Points. Tutorials on Multiresolution in Geometric Modelling 2002: 287-316 - [e1]Armin Iske, Ewald Quak, Michael S. Floater:
Tutorials on Multiresolution in Geometric Modelling, Summer School Lecture Notes. Springer 2002, ISBN 978-3-642-07819-4 [contents] - 2001
- [j19]Michael S. Floater, Martin Reimers:
Meshless parameterization and surface reconstruction. Comput. Aided Geom. Des. 18(2): 77-92 (2001) - 2000
- [j18]Michael S. Floater, Tom Lyche:
Asymptotic convergence of degree-raising. Adv. Comput. Math. 12(2-3): 175-187 (2000) - [j17]Michael S. Floater, Juan Manuel Peña
Monotonicity preservation on triangles. Math. Comput. 69(232): 1505-1519 (2000) - [j16]Michael S. Floater, Ewald G. Quak:
Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations. SIAM J. Numer. Anal. 38(1): 58-79 (2000) - [c2]Michael S. Floater:
Meshless Parameterization and B-Spline Surface Approximation. IMA Conference on the Mathematics of Surfaces 2000: 1-18
1990 – 1999
- 1999
- [j15]Michael S. Floater, Ewald G. Quak:
Piecewise linear prewavelets on arbitrary triangulations. Numerische Mathematik 82(2): 221-252 (1999) - [c1]Michael S. Floater, Ewald G. Quak:
Piecewise Linear Wavelets Over Type-2 Triangulations. Geometric Modelling 1999: 89-103 - 1998
- [j14]Michael S. Floater, Juan Manuel Peña
Tensor-product monotonicity preservation. Adv. Comput. Math. 9(3-4): 353-362 (1998) - [j13]Michael S. Floater:
Parametric Tilings and Scattered Data Approximation. Int. J. Shape Model. 4(3-4): 165-182 (1998) - 1997
- [j12]Michael S. Floater:
An O(h2n) Hermite approximation for conic sections. Comput. Aided Geom. Des. 14(2): 135-151 (1997) - [j11]Michael S. Floater:
Parametrization and smooth approximation of surface triangulations. Comput. Aided Geom. Des. 14(3): 231-250 (1997) - [j10]Michael S. Floater:
A counterexample to a theorem about the convexity of Powell-Sabin elements. Comput. Aided Geom. Des. 14(4): 383-385 (1997) - [j9]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): 27-38 (1997) - 1996
- [j8]Michael S. Floater:
An analysis of cubic approximation schemes for conic sections. Adv. Comput. Math. 5(1): 361-379 (1996) - [j7]Michael S. Floater:
On zero curves of bivariate polynomials. Adv. Comput. Math. 5(1): 399-415 (1996) - [j6]Jesús M. Carnicer, Michael S. Floater:
Piecewise linear interpolants to Lagrange and Hermite convex scattered data. Numer. Algorithms 13(2): 345-364 (1996) - [p2]Jesús M. Carnicer, Michael S. Floater:
Co-convexity preserving Curve Interpolation. Advanced Course on FAIRSHAPE 1996: 17-28 - [p1]Jesús M. Carnicer, Michael S. Floater:
Algorithms for convexity preserving interpolation of scattered data. Advanced Course on FAIRSHAPE 1996: 175-184 - 1995
- [j5]Michael S. Floater:
High-order approximation of conic sections by quadratic splines. Comput. Aided Geom. Des. 12(6): 617-637 (1995) - 1994
- [j4]Michael S. Floater:
A weak condition for the convexity of tensor-product Bézier and B-spline surfaces. Adv. Comput. Math. 2(1): 67-80 (1994) - [j3]Erlend Arge, Michael S. Floater:
Approximating scattered data with discontinuities. Numer. Algorithms 8(2): 149-166 (1994) - 1993
- [j2]Morten Dæhlen, Michael S. Floater:
Iterative polynomial interpolation and data compression. Numer. Algorithms 5(3): 165-177 (1993) - 1992
- [j1]Michael S. Floater:
Derivatives of rational Bézier curves. Comput. Aided Geom. Des. 9(3): 161-174 (1992)
Coauthor Index
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