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Finsler geometry on higher order tensor fields and applications to high angular resolution diffusion imaging. [PDF]

open access: yes, 2009
We study 3D-multidirectional images, using Finsler geometry. The application considered here is in medical image analysis, specifically in High Angular Resolution Diffusion Imaging (HARDI) (Tuch et al. in Magn. Reson. Med.
Florack, L.M.J.   +9 more
core   +1 more source

Arcs and tensors [PDF]

open access: yesDesigns, Codes and Cryptography, 2019
To an arc $\mathcal{A}$ of $\mathrm{PG}(k-1,q)$ of size $q+k-1-t$ we associate a tensor in $\langle ν_{k,t}(\mathcal{A})\rangle^{\otimes k-1}$, where $ν_{k,t}$ denotes the Veronese map of degree $t$ defined on $\mathrm{PG}(k-1,q)$. As a corollary we prove that for each arc $\mathcal{A}$ in $\mathrm{PG}(k-1,q)$ of size $q+k-1-t$, which is not contained ...
Simeon Ball, Michel Lavrauw
openaire   +5 more sources

Tensor factorization via transformed tensor-tensor product for image alignment

open access: yesNumerical Algorithms, 2023
In this paper, we study the problem of a batch of linearly correlated image alignment, where the observed images are deformed by some unknown domain transformations, and corrupted by additive Gaussian noise and sparse noise simultaneously. By stacking these images as the frontal slices of a third-order tensor, we propose to utilize the tensor ...
Sijia Xia, Duo Qiu, Xiongjun Zhang
openaire   +2 more sources

Warped product semi-slant submanifolds in locally conformal Kaehler manifolds

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2017
In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
doaj   +1 more source

Joint Estimation for Time Delay and Direction of Arrival in Reconfigurable Intelligent Surface with OFDM

open access: yesSensors, 2022
Recently, the joint estimation for time delay (TD) and direction of arrival (DOA) has suffered from the high complexity of processing multi-dimensional signal models and the ineffectiveness of correlated/coherent signals.
Jinzhi Du   +4 more
doaj   +1 more source

Threshold Analysis of Request Degradation in the Computer Network

open access: yesМоделирование и анализ информационных систем, 2019
In this paper, the existing approaches to the assessment of computer networks performance are considered. The standard structure of a network of the application layer of the OSI model using the example of SBIS3 application (product of Tensor Company) is ...
Vasilii P. Kirnos
doaj   +1 more source

Tensor Completion in Hierarchical Tensor Representations [PDF]

open access: yes, 2015
Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete information. Here we consider a further extension to the reconstruction of tensors of low multi-linear rank in recently introduced hierarchical tensor formats from a small number ...
Holger Rauhut   +2 more
openaire   +3 more sources

Spline- and tensor-based signal reconstruction : from structure analysis to high-performance algorithms to multiplatform implementations and medical applications [PDF]

open access: yes, 2015
The problem of signal reconstruction is of fundamental practical value for many applications associated with the field of signal and image processing.
Morozov, Oleksii
core   +1 more source

Hyperspectral Image Dimension Reduction Using Weight Modified Tensor-Patch-Based Methods

open access: yesIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2020
Dimension reduction (DR) addresses the problem known as the curse of dimensionality in myriad hyperspectral imagery applications. Although the spatial pattern may assist in the distinction between different land covers that have close spectral signatures,
Boyu Feng, Jinfei Wang
doaj   +1 more source

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