Polyharmonic splines are used for function approximation and data interpolation. They are very useful for interpolating and fitting scattered data inâ€¦Â (More)

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2017

2017

Delaunay-based derivative-free optimization leveraging global surrogates (âˆ†-DOGS) is a recentlydeveloped optimization algorithmâ€¦Â (More)

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2013

2013

- Thomas Hangelbroek, Jeremy Levesley
- Journal of Approximation Theory
- 2013

This article treats the question of fundamentality of the translates of a polyharmonic spline kernel (also known as a surfaceâ€¦Â (More)

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2011

2011

- Armin Iske
- 2011

ABSTRACT This paper concerns the numerical stability of polyharmonic spline reconstruction from multivariate irregular samplesâ€¦Â (More)

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2010

2010

- Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Iske
- SIAM J. Scientific Computing
- 2010

An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENOâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Michael Unser, Daniel Sage, Dimitri Van De Ville
- IEEE Trans. Image Processing
- 2009

The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to theâ€¦Â (More)

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2007

2007

- Ognyan Kounchev, Hermann Render
- Numerical Algorithms
- 2007

Let p, n âˆˆ â„• with 2p â‰¥ n + 2, and let I a be a polyharmonic spline of order p on the grid â„¤ Ã— aâ„¤ n which satisfies theâ€¦Â (More)

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2006

2006

Polyharmonic splines are utilized in the WENO reconstruction of finite volume discretizations, yielding a numerical method forâ€¦Â (More)

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Highly Cited

2005

Highly Cited

2005

- Dimitri Van De Ville, Thierry Blu, Michael Unser
- IEEE Transactions on Image Processing
- 2005

In this paper, we use polyharmonic B-splines to build multidimensional wavelet bases. These functions are nonseparableâ€¦Â (More)

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2003

2003

- Armin Iske
- 2003

This paper proves convergence rates for local scattered data interpolation by polyharmonic splines. To this end, it is shown thatâ€¦Â (More)

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2000

2000

- Aurelian Bejancu
- 2000

We consider the problem of semi-cardinal interpolation for polyharmonic splines. For absolutely summable data sequences, weâ€¦Â (More)

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