Results 11 to 20 of about 18,020 (238)
Global smoothness preservation and the variation-diminishing property
In the center of our paper are two counterexamples showing the independence of the concepts of global smoothness preservation and variation diminution for sequences of approximation operators.
Gavrea Ioan +4 more
doaj +2 more sources
A Robust Skeletonization Method for High-Density Fringe Patterns in Holographic Interferometry Based on Parametric Modeling and Strip Integration [PDF]
Accurate displacement field measurement by holographic interferometry requires robust analysis of high-density fringe patterns, which is hindered by speckle noise inherent in any interferogram, no matter how perfect. Conventional skeletonization methods,
Sergey Lychev, Alexander Digilov
doaj +2 more sources
Low-contrast or uneven illumination in real-world images will cause a loss of details and increase the difficulty of pattern recognition. An automatic image illumination perception and adaptive correction algorithm, termed as GLAGC, is proposed in this ...
Wenyong Yu +4 more
doaj +1 more source
Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals
This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
doaj +1 more source
This article presents a novel global gradient sparse and nonlocal low-rank tensor decomposition model with a hyper-Laplacian prior for hyperspectral image (HSI) superresolution to produce a high-resolution HSI (HR-HSI) by fusing a low-resolution HSI (LR ...
Yidong Peng +3 more
doaj +1 more source
Global smoothness preservation by multivariate singular integrals [PDF]
By using various kinds of moduli of smoothness, it is established that the multivariate variants of the well-known singular integrals of Picard, Poisson-Cauchy, Gauss-Weierstrass and their Jackson-type generalisations satisfy the “global smoothness preservation” property. The results are extensions of those proved by the authors for the univariate case.
Anastassiou, George A., Gal, Sorin G.
openaire +2 more sources
Spectral Generalized Multi-Dimensional Scaling [PDF]
Multidimensional scaling (MDS) is a family of methods that embed a given set of points into a simple, usually flat, domain. The points are assumed to be sampled from some metric space, and the mapping attempts to preserve the distances between each pair ...
Aflalo, Yonathan +2 more
core +1 more source
On global smoothness preservation in complex approximation [PDF]
For a function \(f:\mathbb R^m\to\mathbb R\), set \(\Delta_h^rf(x)=\sum_{i=0}^r(-1)^{r-i}\binom{r}{i} f(x+rh)\), and define the \(r\)th \(L^s\)-modulus of smoothness over \(\mathbb R^m\) by \[ \omega_r(f;\delta)_s: =\sup\{\|\Delta_h^rf(\cdot)\|_{L^s(\mathbb R^m)}; |h|\leq\delta\}, \] where \(r\in\mathbb N\), \(x,h,\delta\in\mathbb R^m\), \(\delta>0\), \
Anastassiou, George A., Gal, Sorin G.
openaire +2 more sources
Regularity of the Einstein Equations at Future Null Infinity [PDF]
When Einstein's equations for an asymptotically flat, vacuum spacetime are reexpressed in terms of an appropriate conformal metric that is regular at (future) null infinity, they develop apparently singular terms in the associated conformal factor and ...
Andersson L +10 more
core +1 more source
Exploratory Analysis of Functional Data via Clustering and Optimal Segmentation [PDF]
We propose in this paper an exploratory analysis algorithm for functional data. The method partitions a set of functions into $K$ clusters and represents each cluster by a simple prototype (e.g., piecewise constant).
Abraham +23 more
core +3 more sources

