A Backprojection Slice Theorem for Tomographic Reconstruction

Autor(es)

Miqueles, Eduardo ^[1] ; Koshev, Nikolay ^[2] ; Helou, Elias S. ^[2]

Afiliação do(s) autor(es)

^[1] Brazilian Ctr Res Energy & Mat, Brazilian Synchrotron Light Lab, BR-13083970 Sao Paulo - Brazil

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: IEEE Transactions on Image Processing; v. 27, n. 2, p. 894-906, FEB 2018.
• Citações Web of Science: 11

Resumo

Fast image reconstruction techniques are becoming important with the increasing number of scientific cases in high resolution micro and nano tomography. The processing of the large scale 3D data demands new mathematical tools for the tomographic reconstruction. Due to the high computational complexity of most current algorithms, big data sizes demands powerful hardware and more sophisticated numerical techniques. Several reconstruction algorithms are dependent on a mathematical tool called backprojection (a transposition process). A conventional implementation of the backprojection operator has cubic computational complexity. In the present manuscript we propose a new fast backprojection operator for the processing of tomographic data, providing a low-cost algorithm for this task. We compare our formula against other fast transposition techniques, using real and simulated large data sets. (AU)

• Processo FAPESP: 14/22040-7 - Técnicas de retroprojeção rápida aplicadas à micro-tomografia por iluminação síncrotron
• Beneficiário: Nikolay Koshev
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 16/24286-9 - Avanços teóricos e computacionais em problemas inversos com aplicações para reconstrução tomográfica de imagens
• Beneficiário: Elias Salomão Helou Neto
• Linha de fomento: Bolsas no Exterior - Pesquisa