Structured 3D-SVD: A Practical Framework for the Compression and Reconstruction of Biological Volumetric Images

[EN] This work introduces Structured 3D-SVD as a practical framework for the reconstruction, compression, and analysis of biological volumetric data. Inspired by the logic of matrix singular value decomposition (SVD), the proposed approach represents third-order volumetric data in the spatial domain...

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Detalles Bibliográficos
Autores: Aragonés Lozano, Mario|||0000-0002-8278-3947, Romero Martínez, José Oscar|||0000-0003-4081-9005, León Fernández, Antonio|||0000-0002-9374-9277
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::858408776aaa947a3554be07e94e809b
Acceso en línea:https://riunet.upv.es/handle/10251/235914
Access Level:acceso abierto
Palabra clave:Structured 3D-SVD
Tensor decomposition
Volumetric imaging
Progressive reconstruction
Biological imaging
Tensor compression
Descripción
Sumario:[EN] This work introduces Structured 3D-SVD as a practical framework for the reconstruction, compression, and analysis of biological volumetric data. Inspired by the logic of matrix singular value decomposition (SVD), the proposed approach represents third-order volumetric data in the spatial domain and supports progressive reconstruction through ordered quasi-singular coefficients. The experimental evaluation was carried out on two biological volumetric datasets: one full-volume scan of a fish and another of a brain. The results show that Structured 3D-SVD achieves reconstruction quality close to that of Tucker decomposition while requiring shorter computation times and outperforms canonical polyadic decomposition (CPD) in both accuracy and runtime. In addition, a progressive reconstruction analysis shows that relatively low truncation levels are sufficient to preserve the main volumetric structures, while higher truncation levels lead to more detailed reconstructions.