@article {364,
	title = {Spectral filtering for the reduction of the Gibbs phenomenon for polynomial approximation methods on Lissajous curves with applications in MPI},
	journal = {Dolomites Research Notes on Approximation},
	volume = {10},
	year = {2017},
	month = {06/2017},
	pages = {128-137},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	author = {Stefano De Marchi and Wolfgang Erb and Francesco Marchetti}
}
@article {343,
	title = {Kernel-based Image Reconstruction from Scattered Radon Data},
	journal = {Dolomites Research Notes on Approximation},
	volume = {9},
	year = {2016},
	month = {09/2016},
	pages = {19-31},
	publisher = {Padova University Press},
	address = {Padova, IT},
	abstract = {<p>Computerized tomography requires suitable numerical methods for the approximation of a bivariate function f from a finite set of discrete Radon data, each of whose data samples represents one line integral of f . In standard reconstruction methods, specific assumptions concerning the geometry of the Radon lines are usually made. In relevant applications of image reconstruction, however, such assumptions are often too restrictive. In this case, one would rather prefer to work with reconstruction methods allowing for arbitrary distributions of scattered Radon lines.<br />This paper proposes a novel image reconstruction method for scattered Radon data, which combines kernel-based scattered data approximation with a well-adapted regularization of the Radon transform. This results in a very flexible numerical algorithm for image reconstruction, which works for arbitrary distributions of Radon lines. This is in contrast to the classical filtered back projection, which essentially relies on a regular distribution of the Radon lines, e.g. parallel beam geometry. The good performance of the kernel-based image reconstruction method is illustrated by numerical examples and comparisons.</p>},
	issn = {20356803},
	doi = {10.14658/pupj-drna-2016-Special_Issue-4},
	url = {http://drna.padovauniversitypress.it/2016/specialissue/4},
	author = {Stefano De Marchi and Armin Iske and Amos Sironi}
}
@article {312,
	title = {A few remarks on {\textquotedblleft}On certain Vandermonde determinants whose variables separate"},
	journal = {Dolomites Research Notes on Approximation},
	volume = {8},
	year = {2015},
	month = {09/2015},
	pages = {1{\textendash}11},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2015-1-1},
	url = {http://drna.padovauniversitypress.it/2015/1/1},
	author = {Andr{\'e} Camargo and Stefano De Marchi}
}
@article {292,
	title = {Multivariate Approximation 2013},
	journal = { Dolomites Research Notes on Approximation},
	volume = {7},
	year = {2014},
	month = {09/2014},
	pages = {I-II},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2014-Special_Issue-1},
	url = {http://drna.padovauniversitypress.it/2014/specialissue/1},
	author = {Marco Caliari and Stefano De Marchi and Norm Levenberg and Marco Vianello}
}
@article {299,
	title = {Multivariate Christoffel functions and hyperinterpolation},
	journal = { Dolomites Research Notes on Approximation},
	volume = {7},
	year = {2014},
	month = {09/2014},
	pages = {26-33},
	publisher = {Padova University Press},
	address = {Padova, IT},
	keywords = {algebraic cubature, hyperinterpolation, Lebesgue constant, Morrow-Patterson points., multivariate Christoffel functions},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2014-Special_Issue-6},
	url = {http://drna.padovauniversitypress.it/2014/specialissue/6},
	author = {Stefano De Marchi and Alvise Sommariva and Marco Vianello}
}
@article {280,
	title = {Polynomial approximation on pyramids, cones and solids of rotation},
	journal = { Dolomites Research Notes on Approximation},
	volume = {6},
	year = {2013},
	month = {09/2013},
	pages = {20-26},
	publisher = {Padova University Press},
	address = {Padova, IT},
	keywords = {cones, discrete extremal sets., multivariate polynomial interpolation and approximation, polynomial least squares, pyramids, solids of rotation, weakly admissible meshes (WAMs)},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2013-Special_Issue-4},
	url = {http://drna.padovauniversitypress.it/2013/specialissue/4},
	author = {Stefano De Marchi and Marco Vianello}
}
@article {269,
	title = {Barycentric rational interpolation at quasi-equidistant nodes},
	journal = { Dolomites Research Notes on Approximation},
	volume = {5},
	year = {2012},
	month = {09/2012},
	pages = {1-6},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2012-1-1},
	url = {http://drna.padovauniversitypress.it/2012/1/1},
	author = {Kai Hormann and Georges Klein and Stefano De Marchi}
}
@article {268,
	title = {Kernel Functions and Meshless Methods},
	journal = {Dolomites Research Notes on Approximation},
	volume = {4},
	year = {2011},
	month = {09/2011},
	pages = {1-63},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2011-Special_Issue-1},
	url = {http://drna.padovauniversitypress.it/2011/specialissue/1},
	author = {Martin D. Buhmann and Stefano De Marchi and Gerlind Plonka-Hoch}
}
@article {267,
	title = {On Optimal Points for Interpolation by Univariate Exponential Functions},
	journal = {Dolomites Research Notes on Approximation},
	volume = {4},
	year = {2011},
	month = {09/2011},
	pages = {8-12},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2011-1-2},
	url = {http://drna.padovauniversitypress.it/2011/1/2},
	author = {Len Bos and Stefano De Marchi}
}
@article {260,
	title = {Nonstandard Kernels and their Applications},
	journal = {Dolomites Research Notes on Approximation},
	volume = {2},
	year = {2009},
	month = {09/2009},
	pages = {16-43},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2009-1-2},
	url = {http://drna.padovauniversitypress.it/2009/1/2},
	author = {Stefano De Marchi and Robert Schaback}
}
@article {259,
	title = {On the Vandermonde Determinant of Padua-like Points},
	journal = {Dolomites Research Notes on Approximation},
	volume = {2},
	year = {2009},
	month = {09/2009},
	pages = {1-15},
	publisher = {Padova University Press},
	address = {Padova, IT},
	issn = {2035-6803},
	doi = {10.14658/pupj-drna-2009-1-1},
	url = {http://drna.padovauniversitypress.it/2009/1/1},
	author = {Len Bos and Stefano De Marchi and Shayne Waldron}
}