Papers

• M. S. Floater, The loss of Hölder 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

• 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 Num. 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

• 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

• 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

• M. S. Floater, A. F. Rasmussen, and U. Reif, Extrapolation Methods for Approximating Arc Length and Surface Area, Numer. Alg. 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
• A. F. Rasmussen and M. S. Floater, A point-based method for estimating surface area, to appear in the electronic proceedings of the SIAM Conference on Geometric Design, Phoenix, 2005 (David Field, Dan Gonsor, and Mike Neamtu, eds.). 150K

• 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

• M. S. Floater, Arc length estimation and the convergence of polynomial curve interpolation, BIT Num. 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

• 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. This was selected by ISI as a Fast Breaking Paper in December 2004.
• M. S. Floater, One-to-one piecewise linear mappings over triangulations, Math. Comp. 72 (2003), 685-696. 150K

• 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

• 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

• 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

• 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

• 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 Num. 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

• 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

• 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

• 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

• 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

• M. Daehlen and M. S. Floater, Iterative polynomial interpolation and data compression, Numerical Algorithms 5 (1993), 165-177. 143K

• 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

• M. S. Floater, Blow-up at the boundary for degenerate semilinear parabolic equations, Arch. Rat. Mec. Anal. 114 (1991), 57-77. 181K

• A. Stuart and M. S. Floater, On the computation of blow-up, Euro. J. Appl. Math. 1 (1990), 47-71.