Concepedia

Spline Basis Functions

Spline Basis Functions is a mathematical construct in approximation theory that consists of a set of piecewise polynomial functions with local support and continuity properties, specifically designed to form a basis for the vector space of spline functions, enabling the representation of smooth curves and surfaces in a flexible and controllable manner.

1.5K

Publications

86.2K

Citations

2.4K

Authors

1K

Institutions

Publications per year

2017–2026

225

Parents

Publications

1.5K

Multivariate Adaptive Regression Splines

Jerome H. Friedman · The Annals of Statistics · 1991 · 8.1K citations · Full text

, , +16

Smoothing noisy data with spline functions

Peter G. Craven, Grace Wahba · Numerische Mathematik · 1978 · 3.4K citations

, , +11

Spline Functions: Basic Theory.

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

, , +17

Splines: a perfect fit for signal and image processing

Michaël Unser · IEEE Signal Processing Magazine · 1999 · 1.6K citations · Full text

, , +16

Smoothing noisy data with spline functions

Grace Wahba · Numerische Mathematik · 1975 · 1.5K citations

, , +11

1–5 of 1.5K

Authors

2.4K

  1. MU
    Michaël Unser

    École Polytechnique Fédérale de Lausanne, Switzerland

    30 publications · 5K citations

    24

    h-index

  2. LL
    Larry L. Schumaker

    Vanderbilt University, United States

    28 publications · 3.9K citations

    22

    h-index

  3. PD
    Piero Decleva

    University of Trieste, Italy

    21 publications · 1.6K citations

    17

    h-index

  4. MA
    Muhammad Abbas

    University of Sargodha, Pakistan

    20 publications · 588 citations

    16

    h-index

  5. IJ
    I. J. Schoenberg

    University of Wisconsin–Madison, United States

    15 publications · 1.8K citations

    14

    h-index

1–5 of 2.4K

Institutions

1K

  1. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    23 h-index

    67 publications

    7.8K citations

  2. University of Wisconsin–Madison

    Madison, United States

    22 h-index

    43 publications

    6.4K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    18 h-index

    70 publications

    4.3K citations

  4. Vanderbilt University

    Nashville, United States

    18 h-index

    29 publications

    4.2K citations

  5. University of Sargodha

    Sargodha, Pakistan

    16 h-index

    39 publications

    1.1K citations

  6. Texas A&M University

    College Station, United States

    16 h-index

    33 publications

    2.7K citations

  7. University of Trieste

    Trieste, Italy

    15 h-index

    48 publications

    2.2K citations

  8. KU Leuven

    Leuven, Belgium

    12 h-index

    26 publications

    1.5K citations

1–8 of 1K

Venues

  1. Applied Mathematics and Computation

    50 publications · 1.5K citations

    24

    h-index

  2. SIAM Journal on Numerical Analysis

    31 publications · 1.5K citations

    24

    h-index

  3. Mathematics of Computation

    MCOM · 34 publications · 5.9K citations

    24

    h-index

  4. 24

    h-index

  5. Journal of Approximation Theory

    69 publications · 2.1K citations

    24

    h-index

1–5