4 citations · 15 across the 18 of their papers we have counts for
16 papers · 1 filter
A regularization method for planar offset curves and bi-offset recognition
Rosanna Campagna, Salvatore Mondrone, Tomas Sauer
Offset curves for planar trajectories are interesting in the generation of tool paths for numerically controlled industrial machines and in trajectory planning methods for autonomo…
Haar Wavelets, Gradients and Approximate TV Regularization
Tomas Sauer, A. Michael Stock
We show how total variation regularization of images in arbitrary dimensions can be approximately performed by applying appropriate shrinkage to some Haar wavelets coefficients. Th…
Hermite multiwavelets for manifold-valued data
Mariantonia Cotronei, Caroline Moosmüller, Tomas Sauer +1
In this paper we present a construction of interpolatory Hermite multiwavelets for functions that take values in nonlinear geometries such as Riemannian manifolds or Lie groups. We…
Polynomial overreproduction by Hermite subdivision operators, and -Cauchy numbers
Caroline Moosmüller, Tomas Sauer
We study the case of Hermite subdivision operators satisfying a spectral condition of order greater than their size. We show that this can be characterized by operator factorizatio…
SVD update methods for large matrices and applications
Juan Manuel Peña, Tomas Sauer
We consider the problem of updating the SVD when augmenting a "tall thin" matrix, i.e., a rectangular matrix $A \in \RR^{m \times n}$ with . Supposing that an SVD of i…
Hankel and Toeplitz operators of finite rank and Prony's problem in several variables
Tomas Sauer
Prony's problem in several variables has attracted some attention recently and provides an interesting combination of polynomial ideal theory with analytic and numeric computations…
Filters for anisotropic wavelet decompositions
Mariantonia Cotronei, Milvia Rossini, Tomas Sauer +1
Like the continous shearlet transform and their relatives, discrete transformations based on the interplay between several filterbanks with anisotropic dilations provide a high pot…
Generalized Taylor operators and Hermite subdivision schemes
Jean-Louis Merrien, Tomas Sauer
Hermite subdivision schemes act on vector valued data that is not only considered as functions values in , but as consecutive derivatives, which leads to a mild form…
Level-dependent interpolatory Hermite subdivision schemes and wavelets
Mariantonia Cotronei, Caroline Moosmüller, Tomas Sauer +1
We study many properties of level-dependent Hermite subdivision, focusing on schemes preserving polynomial and exponential data. We specifically consider interpolatory schemes, whi…
Modeling variational inpainting methods with splines
Florian Boßmann, Tomas Sauer, Nada Sissouno
Mathematical methods of image inpainting involve the discretization of given continuous models. We present a method that avoids the standard pointwise discretization by modeling kn…
Observations on interpolation by total degree polynomials in two variables
Jesús Carnicer, Tomas Sauer
In contrast to the univariate case, interpolation with polynomials of a given maximal total degree is not always possible even if the number of interpolation points and the space d…
Prony's method in several variables
Tomas Sauer
The paper gives an extension of Prony's method to the multivariate case which is based on the relationship between polynomial interpolation, normal forms modulo ideals and H--bases…
Decomposition of tensors
Juan Manuel Peña, Tomas Sauer
We consider representations of tensors as sums of decomposable tensors or, equivalently, decomposition of multilinear forms into one--forms. In this short note we show that there e…
Kernels of discrete convolutions and subdivision operators
Tomas Sauer
We consider kernels of discrete convolution operators or, equivalently, homogeneous solutions of partial difference operators and show that these solutions always have to be expone…
Hermite subdivision schemes, exponential polynomial generation, and annihilators
Costanza Conti, Mariantonia Cotronei, Tomas Sauer
We consider the question when the so--called spectral condition} for Hermite subdivision schemes extends to spaces generated by polynomials and exponential functions. The main tool…
Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis
Gitta Kutyniok, Tomas Sauer
In this paper, we propose a solution for a fundamental problem in computational harmonic analysis, namely, the construction of a multiresolution analysis with directional component…