J. Ward

activity

20022024

most citedHessian Schatten-Norm Regularization for Linear Inverse Problems

174 citations · 317 across the 16 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.CA2013★ 17 cited

Harmonic Singular Integrals and Steerable Wavelets in $L_{2} (R^{d})$

John Paul Ward, Michael Unser

Here we present a method of constructing steerable wavelet frames in $L_{2} (R^{d})$ that generalizes and unifies previous approaches, including Simoncelli's pyramid and Riesz…

math.CA2013★ 9 cited

Decay properties of Riesz transforms and steerable wavelets

John Paul Ward, Kunal Narayan Chaudhury, Michael Unser

The Riesz transform is a natural multi-dimensional extension of the Hilbert transform, and it has been the object of study for many years due to its nice mathematical properties. M…

math.CA2012★ 6 cited

Operator-Like Wavelet Bases of $L_{2} (R^{d})$

Ildar Khalidov, Michael Unser, John Paul Ward

The connection between derivative operators and wavelets is well known. Here we generalize the concept by constructing multiresolution approximations and wavelet basis functions th…

math.CA2011★ 4 cited

$L^{p}$ Error Estimates for Approximation by Sobolev Splines and Wendland Functions on $R^{d}$

John Paul Ward

It is known that a Green's function-type condition may be used to derive rates for approximation by radial basis functions (RBFs). In this paper, we introduce a method for obtainin…

Harmonic Singular Integrals and Steerable Wavelets in L2​(Rd)

Decay properties of Riesz transforms and steerable wavelets

Operator-Like Wavelet Bases of L2​(Rd)

Lp Error Estimates for Approximation by Sobolev Splines and Wendland Functions on Rd

Harmonic Singular Integrals and Steerable Wavelets in $L_{2} (R^{d})$

Operator-Like Wavelet Bases of $L_{2} (R^{d})$

$L^{p}$ Error Estimates for Approximation by Sobolev Splines and Wendland Functions on $R^{d}$