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Tensor factorization via transformed tensor-tensor product for image alignment

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成果类型:
期刊论文
作者:
Xia, Sijia;Qiu, Duo;Zhang, Xiongjun
通讯作者:
Qiu, D
作者机构:
[Xia, Sijia; Zhang, Xiongjun] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Qiu, Duo] Wuhan Inst Technol, Sch Math & Phys, Wuhan 430205, Peoples R China.
[Zhang, Xiongjun] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
通讯机构:
[Qiu, D ] W
Wuhan Inst Technol, Sch Math & Phys, Wuhan 430205, Peoples R China.
语种:
英文
关键词:
Image alignment;Transformed tensor-tensor product;Tensor factorization;Proximal Gauss-Seidel algorithm
期刊:
Numerical Algorithms
ISSN:
1017-1398
年:
2024
卷:
95
期:
3
页码:
1251-1289
基金类别:
The research of Duo Qiu was supported in part by the National Natural Science Foundation of China under Grant No. 12201473 and the Science Foundation of Wuhan Institute of Technology under Grant No. K202256. The research of Xiongjun Zhang was supported in part by the National Natural Science Foundation of China under Grant No. 12171189, the Knowledge Innovation Project of Wuhan under Grant No. 2022010801020279, and the Fundamental Research Funds for the Central Universities under Grant No. CCNU22JC023.
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
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 factorization method via transformed tensor-tensor product to explore the low-rankness of the underlying tensor, which is factorized into the product of two smaller tensors via transformed tensor-tensor pr...

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