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Non-rigid registration of medical images based on S 2 1 Δ mn 2 $$ {S}_2^1\left({\Delta}_{mn}^{(2)}\right) $$ non-tensor product B-spline [PDF]

open access: yesVisual Computing for Industry, Biomedicine, and Art, 2022
In this study, a non-tensor product B-spline algorithm is applied to the search space of the registration process, and a new method of image non-rigid registration is proposed.
Qi Zheng, Chaoyue Liu, Jincai Chang
doaj   +2 more sources

On the mixed solution of reduced biquaternion matrix equation $ \sum\limits_{i = 1}^nA_iX_iB_i = E $ with sub-matrix constraints and its application

open access: yesAIMS Mathematics, 2023
In this paper, we investigate the mixed solution of reduced biquaternion matrix equation $ \sum\limits_{i = 1}^nA_iX_iB_i = E $ with sub-matrix constraints.
Yimeng Xi   +4 more
doaj   +1 more source

Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set

open access: yesMathematics, 2021
The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set ...
Wen Liu, Shihua Fu, Jianli Zhao
doaj   +1 more source

Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
We study the concept of frame in tensor product of  $n$-Hilbert spaces as tensor product of  $n$-Hilbert spaces is again an  $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
doaj   +1 more source

Robust Output Tracking of Boolean Control Networks over Finite Time

open access: yesMathematics, 2022
With an increase in tracking time, the operating cost of the controller will increase accordingly. Considering the biological applications of Boolean control networks (BCNs), it is necessary to study the control problem of BCNs over finite time.
Yuan Zhao   +3 more
doaj   +1 more source

Tensor Product of Neutrosophic sub modules of an R-module [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In this paper, we develop a framework for tensor product with imprecise and indeterminate bounds as a neutrosophic submodule of an R-modules. The fundamental goal of this study is to extend the conventional tensor product in contemporary algebra to the ...
Binu R, Ursala Paul
doaj   +1 more source

Constrainted least squares solution of Sylvester equation

open access: yesMathematical Modelling and Control, 2021
In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties.
Wenxv Ding, Ying Li, Dong Wang, AnLi Wei
doaj   +1 more source

On numerical/non-numerical algebra: Semi-tensor product method

open access: yesMathematical Modelling and Control, 2021
A kind of algebra, called numerical algebra, is proposed and investigated. As its opponent, non-numerical algebra is also defined. The numeralization and dis-numeralization, which convert non-numerical algebra to numerical algebra and vise versa, are ...
Daizhan Cheng   +3 more
doaj   +1 more source

The least squares Bisymmetric solution of quaternion matrix equation AXB=C

open access: yesAIMS Mathematics, 2021
In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide the quaternion Bisymmetric matrix into four blocks and study the relationship between the block matrices. Applying this relation, the real representation
Dong Wang, Ying Li, Wenxv Ding
doaj   +1 more source

Solving reduced biquaternion matrices equation $ \sum\limits_{i = 1}^{k}A_iXB_i = C $ with special structure based on semi-tensor product of matrices

open access: yesAIMS Mathematics, 2022
In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding   +3 more
doaj   +1 more source

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