Martin D. Buhmann

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 13

Top Topics

Compactly Supported

Positive Definite

Thin Plate Spline

Hyperspectral Image Compression

Top Venues

J. Approx. Theory

Math. Comput. Simul.

Comput. Optim. Appl.

Publications

Martin D. Buhmann, Feng Dai
Compression using Quasi-Interpolation. CoRR (2024)
Martin D. Buhmann, Janin Jäger, Joaquín Jódar, Miguel Luis Rodríguez
New methods for quasi-interpolation approximations: Resolution of odd-degree singularities. Math. Comput. Simul. 223 (2024)
Mathis Ortmann, Martin D. Buhmann
On Quasi-Interpolation and their associated shift-invariant space using a new class of generalized Thin Plate Splines and Inverse Multiquadrics. CoRR (2024)
Martin D. Buhmann, Janin Jäger, Joaquín Jódar, Miguel L. Rodríguez
New methods for quasi-interpolation approximations: resolution of odd-degree singularities. CoRR (2023)
Martin D. Buhmann, Dirk Siegel
Implementing and modifying Broyden class updates for large scale optimization. Comput. Optim. Appl. 78 (1) (2021)
Martin D. Buhmann, Janin Jäger
Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres. CoRR (2021)
Martin D. Buhmann, Janin Jäger
Multiply monotone functions for radial basis function interpolation: Extensions and new kernels. J. Approx. Theory 256 (2020)
Martin D. Buhmann, Feng Dai, Yeli Niu
Discretization on high-dimensional domains. CoRR (2020)
Martin D. Buhmann, Janin Jäger
Pólya-type criteria for conditional strict positive definiteness of functions on spheres. J. Approx. Theory 257 (2020)
Martin D. Buhmann
Michael J.D. Powell's work in approximation theory and optimisation. J. Approx. Theory 238 (2019)
Elena E. Berdysheva, Martin D. Buhmann, Oleg Davydov
Preface. J. Approx. Theory 238 (2019)
Martin D. Buhmann, Oleg Davydov
Error bounds for multiquadrics without added constants. J. Approx. Theory 219 (2017)
Martin D. Buhmann, Feng Dai
Pointwise approximation with quasi-interpolation by radial basis functions. J. Approx. Theory 192 (2015)
Martin D. Buhmann
Radial basis function. Scholarpedia 5 (5) (2010)
Martin D. Buhmann, Kurt Jetter
Preface. J. Approx. Theory 162 (3) (2010)
Martin D. Buhmann
Semi-infinite cardinal interpolation with multiquadrics and beyond. Adv. Comput. Math. 24 (1-4) (2006)
Martin D. Buhmann, Juan Manuel Peña
Preface. J. Approx. Theory 143 (1) (2006)
Martin D. Buhmann
Half-plane approximation with radial functions. Comput. Math. Appl. 51 (8) (2006)
Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman
Cubic Spline Prewavelets on the Four-Directional Mesh. Found. Comput. Math. 3 (2) (2003)
Martin D. Buhmann, Oleg Davydov, Tim N. T. Goodman
Box Spline Prewavelets of Small Support. J. Approx. Theory 112 (1) (2001)
Martin D. Buhmann
A new class of radial basis functions with compact support. Math. Comput. 70 (233) (2001)
Martin D. Buhmann
Pre-Wavelets on Scattered Knots and from Radial Function Spaces: A Review. IMA Conference on the Mathematics of Surfaces (1994)