Concepedia

Spline Approximation Theory

Spline Approximation Theory is a mathematical framework within approximation theory that employs piecewise polynomial functions, specifically splines, to construct smooth and accurate representations of complex geometries and fields in isogeometric analysis, distinguished by its integration of geometric modeling and numerical simulation through basis functions of higher continuity.

478

Publications

29.4K

Citations

777

Authors

405

Institutions

Publications per year

2017–2026

39

Parents

Publications

478

N4ITK: Improved N3 Bias Correction

Nicholas J. Tustison, Brian Avants, Philip A. Cook et al. · IEEE Transactions on Medical Imaging · 2010 · 6.4K citations

, , +16

Spline Functions: Basic Theory.

Philip W. Smith, Larry L. Schumaker · Mathematics of Computation · 1982 · 2.5K citations

, , +17

SPLINE FUNCTIONS: Basic Theory

R. F. Churchhouse · Bulletin of the London Mathematical Society · 1982 · 549 citations

, , +13

Measuring the Term Structure of Interest Rates

J. Huston McCulloch · The Journal of Business · 1971 · 548 citations

, , +16

On Pólya frequency functions IV: The fundamental spline functions and their limits

H. B. Curry, I. J. Schoenberg · Journal d Analyse Mathématique · 1966 · 430 citations

, , +10

1–5 of 478

Authors

777

  1. CD
    Carl de Boor

    University of Wisconsin–Madison, United States

    14 publications · 714 citations

    14

    h-index

  2. LL
    Larry L. Schumaker

    Vanderbilt University, United States

    12 publications · 3.1K citations

    11

    h-index

  3. MU
    Michaël Unser

    École Polytechnique Fédérale de Lausanne, Switzerland

    7 publications · 748 citations

    7

    h-index

  4. PS
    Paul Sablonnière

    Institut National des Sciences Appliquées de Rennes, France

    7 publications · 238 citations

    7

    h-index

  5. TL
    Tom Lyche

    University of Oslo, Norway

    6 publications · 254 citations

    6

    h-index

1–5 of 777

Institutions

405

  1. University of Wisconsin–Madison

    Madison, United States

    11 h-index

    18 publications

    867 citations

  2. Vanderbilt University

    Nashville, United States

    9 h-index

    16 publications

    3.4K citations

  3. Texas A&M University

    College Station, United States

    8 h-index

    16 publications

    622 citations

  4. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    7 h-index

    17 publications

    1.2K citations

  5. Brown University

    Providence, United States

    6 h-index

    6 publications

    269 citations

  6. University of Alberta

    Edmonton, Canada

    6 h-index

    12 publications

    447 citations

  7. University of Oslo

    Oslo, Norway

    6 h-index

    7 publications

    307 citations

  8. Institut National des Sciences Appliquées de Rennes

    Rennes, France

    5 h-index

    5 publications

    150 citations

1–8 of 405

Venues

  1. SIAM Journal on Numerical Analysis

    25 publications · 1.4K citations

    19

    h-index

  2. Journal of Approximation Theory

    26 publications · 893 citations

    17

    h-index

  3. Mathematics of Computation

    MCOM · 16 publications · 3K citations

    15

    h-index

  4. Computer Aided Geometric Design

    15 publications · 557 citations

    14

    h-index

  5. Journal of Computational and Applied Mathematics

    19 publications · 528 citations

    14

    h-index

1–5