Michael S. Floater

7.1k total citations · 2 hit papers
88 papers, 3.9k citations indexed

About

Michael S. Floater is a scholar working on Computational Mechanics, Computer Graphics and Computer-Aided Design and Numerical Analysis. According to data from OpenAlex, Michael S. Floater has authored 88 papers receiving a total of 3.9k indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Computational Mechanics, 31 papers in Computer Graphics and Computer-Aided Design and 17 papers in Numerical Analysis. Recurrent topics in Michael S. Floater's work include Advanced Numerical Analysis Techniques (58 papers), Computational Geometry and Mesh Generation (26 papers) and 3D Shape Modeling and Analysis (20 papers). Michael S. Floater is often cited by papers focused on Advanced Numerical Analysis Techniques (58 papers), Computational Geometry and Mesh Generation (26 papers) and 3D Shape Modeling and Analysis (20 papers). Michael S. Floater collaborates with scholars based in Norway, United States and Germany. Michael S. Floater's co-authors include Kai Hormann, Martin Reimers, Géza Kós, Armin Iske, Neil A. Dodgson, Malcolm Sabin, Tom Lyche, Christopher Dyken, Nira Dyn and Andrew M. Stuart and has published in prestigious journals such as Mathematics of Computation, ACM Transactions on Graphics and SIAM Journal on Numerical Analysis.

In The Last Decade

Michael S. Floater

84 papers receiving 3.7k citations

Hit Papers

Mean value coordinates 1997 2026 2006 2016 2003 1997 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Mean value coordinates
    2003 587 citations Michael S. Floater profile →
  2. Parametrization and smooth approximation of surface triangulations
    1997 512 citations Michael S. Floater profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael S. Floater Norway 28 2.9k 1.7k 837 599 370 88 3.9k
Kai Hormann Switzerland 27 2.0k 0.7× 1.3k 0.8× 659 0.8× 277 0.5× 274 0.7× 102 3.0k
Tom Lyche Norway 29 2.8k 1.0× 927 0.6× 543 0.6× 375 0.6× 680 1.8× 93 3.4k
Nira Dyn Israel 32 3.0k 1.0× 1.0k 0.6× 959 1.1× 384 0.6× 356 1.0× 137 4.4k
Bert Jüttler Austria 35 3.8k 1.3× 1.6k 1.0× 667 0.8× 664 1.1× 290 0.8× 204 4.4k
Gerald Farin United States 33 5.0k 1.7× 2.6k 1.5× 1.5k 1.8× 517 0.9× 329 0.9× 107 6.6k
John Gregory United States 26 1.9k 0.7× 847 0.5× 438 0.5× 143 0.2× 352 1.0× 74 2.7k
O. Hassan United Kingdom 28 1.8k 0.6× 629 0.4× 180 0.2× 383 0.6× 97 0.3× 128 3.1k
Patrick Knupp United States 29 1.7k 0.6× 1.4k 0.8× 264 0.3× 176 0.3× 80 0.2× 69 2.5k
David I. W. Levin Canada 24 820 0.3× 520 0.3× 377 0.5× 181 0.3× 100 0.3× 61 1.9k
Nicholas M. Patrikalakis United States 33 2.0k 0.7× 1.2k 0.7× 853 1.0× 93 0.2× 51 0.1× 141 3.6k

Countries citing papers authored by Michael S. Floater

Since Specialization
Citations

This map shows the geographic impact of Michael S. Floater's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael S. Floater with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael S. Floater more than expected).

Fields of papers citing papers by Michael S. Floater

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael S. Floater. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael S. Floater. The network helps show where Michael S. Floater may publish in the future.

Co-authorship network of co-authors of Michael S. Floater

This figure shows the co-authorship network connecting the top 25 collaborators of Michael S. Floater. A scholar is included among the top collaborators of Michael S. Floater based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael S. Floater. Michael S. Floater is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Floater, Michael S., et al.. (2020). Transfinite mean value interpolation over polygons. Florence Research (University of Florence).
2.
Deng, Chongyang, et al.. (2019). An interpolatory view of polynomial least squares approximation. Journal of Approximation Theory. 252. 105360–105360. 2 indexed citations
3.
Floater, Michael S., et al.. (2018). On periodic L2 n-widths. Journal of Computational and Applied Mathematics. 349. 403–409. 3 indexed citations
4.
Floater, Michael S.. (2017). Polynomial interpolation on interlacingrectangular grids. Journal of Approximation Theory. 222. 64–73. 3 indexed citations
5.
Dyn, Nira & Michael S. Floater. (2013). Multivariate polynomial interpolation on lower sets. Journal of Approximation Theory. 177. 34–42. 16 indexed citations
6.
Floater, Michael S., et al.. (2012). Exact regularity of symmetric univariate subdivision schemes. arXiv (Cornell University). 1 indexed citations
7.
Floater, Michael S.. (2011). The loss of Hölder regularity of four-point interpolatory subdivision on irregularly spaced points. 3(2). 261–270. 2 indexed citations
8.
Floater, Michael S.. (2011). A piecewise polynomial approach to analyzing interpolatory subdivision. Journal of Approximation Theory. 163(11). 1547–1563. 5 indexed citations
9.
Floater, Michael S.. (2011). The approximation order of four-point interpolatory curve subdivision. Journal of Computational and Applied Mathematics. 236(4). 476–481. 2 indexed citations
10.
Floater, Michael S., et al.. (2010). Mathematical methods for curves and surfaces : 8th International Conference, MMCS 2012, Oslo, Norway, June 28-July 3, 2012 : revised selected papers. HAL (Le Centre pour la Communication Scientifique Directe). 4 indexed citations
11.
Dæhlen, Morten, et al.. (2010). Mathematical Methods for Curves and Surfaces. Lecture notes in computer science. 46 indexed citations
12.
Floater, Michael S., et al.. (2006). Point-based methods for estimating the length of a parametric curve. Journal of Computational and Applied Mathematics. 196(2). 512–522. 13 indexed citations
13.
Floater, Michael S.. (2005). On the convergence of derivatives of Bernstein approximation. Journal of Approximation Theory. 134(1). 130–135. 42 indexed citations
14.
Dyken, Christopher & Michael S. Floater. (2005). Preferred directions for resolving the non-uniqueness of Delaunay triangulations. Computational Geometry. 34(2). 96–101. 17 indexed citations
15.
Floater, Michael S.. (2003). Error formulas for divided difference expansions and numerical differentiation. Journal of Approximation Theory. 122(1). 1–9. 12 indexed citations
16.
Floater, Michael S., et al.. (2002). Tutorials on Multiresolution in Geometric Modelling: Summer School Lectures Notes. Springer eBooks. 7 indexed citations
17.
Floater, Michael S., Ewald Quak, & Martin Reimers. (2000). Filter bank algorithms for piecewise linear prewavelets on arbitrary triangulations. Journal of Computational and Applied Mathematics. 119(1-2). 185–207. 13 indexed citations
18.
Floater, Michael S. & Craig Gotsman. (1999). How to morph tilings injectively. Journal of Computational and Applied Mathematics. 101(1-2). 117–129. 46 indexed citations
19.
Floater, Michael S.. (1998). Local and global convexity preservation. 183–190. 3 indexed citations
20.
Floater, Michael S.. (1996). An analysis of cubic approximation schemes for conic sections. Advances in Computational Mathematics. 5(1). 361–379. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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