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Quantization for Infinite Affine Transformations
Quantization for a probability distribution refers to the idea of estimating a given probability by a discrete probability supported by a finite set. In this article, we consider a probability distribution generated by an infinite system of affine transformations {Sij} on R2 with associated probabilities {pij} such that pij>0 for all i,j∈N and ∑i,j ...
Doğan Çömez +1 more
openaire +3 more sources
Affine transformations of a Leonard pair [PDF]
Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider an ordered pair of linear transformations $A : V \to V$ and $A^* : V \to V$ that satisfy (i) and (ii) below: (i) There exists a basis for $V$ with respect to which the matrix representing $A$ is irreducible tridiagonal and the matrix ...
Kazumasa Nomura, Paul Terwilliger
openalex +4 more sources
This paper investigates the affine formation maneuver control for multi-heterogeneous unmanned surface vessels (USV), aiming to enable them to navigate through narrow channels in the near-sea environment.
Yeye Liu, Xiaogong Lin, Chao Zhang
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AV-differential geometry and Newtonian mechanics [PDF]
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional ...
Grabowska, Katarzyna, Urbanski, Pawel
core +1 more source
Two-Step Affine Transformation Prediction for Visual Object Tracking
The main drawback of correlation filter scheme is that it can only predict translation of the object, ignoring the other affine transformations such as rotation, aspect ratio change, and scale change.
Weiwei Zheng, Huimin Yu, Zhaohui Lu
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Affine transformation edited and refined deep neural network for quantitative susceptibility mapping
Deep neural networks have demonstrated great potential in solving dipole inversion for Quantitative Susceptibility Mapping (QSM). However, the performances of most existing deep learning methods drastically degrade with mismatched sequence parameters ...
Zhuang Xiong +3 more
doaj +1 more source
ADMIR–Affine and Deformable Medical Image Registration for Drug-Addicted Brain Images
We proposed an unsupervised end-to-end Affine and Deformable Medical Image Registration (ADMIR) method based on convolutional neural network (ConvNet).
Kun Tang +4 more
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Feature matching of remote‐sensing images based on bilateral local–global structure consistency
The goal of feature matching is to establish accurate correspondences between feature points in different images depicting the same scene. To address the polymorphism of local structures, the authors propose a mismatch removal method using bilateral ...
Qing‐Yan Chen, Da‐Zheng Feng
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Affine Structures on Jet and Weil Bundles [PDF]
Weil algebra morphism induce natural transformations between Weil bundles. In some well known cases, a natural transformation is endowed with a canonical structure of affine bundle.
Blázquez-Sanz, David
core +2 more sources
In modern times, swarm intelligence has played an increasingly important role in finding an optimal solution within a search range. This study comes up with a novel solution algorithm named QUasi-Affine TRansformation-Pigeon-Inspired Optimization ...
Xiao-Xue Sun +4 more
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