In this video, we introduce the idea of how integral images can be used to reconstruct the original object information. We lift the projection process from 1-D lines to 2-D planes and understand that projection images share Fourier coefficients with the Fourier space of the slice to be reconstructed. Doing so, we derive the Fourier Slice Theorem completely visually without the need for equations.

This course in German Language: https://www.fau.tv/course/id/1022

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Reference
Maier, A., Steidl, S., Christlein, V., Hornegger, J. Medical Imaging Systems - An Introductory Guide, Springer, Cham, 2018, ISBN 978-3-319-96520-8, Open Access at Springer Link

Video References
Randy Dickerson - Syngo Via VB20 Cinematic Rendering https://youtu.be/I12PMiX5h3E
Book CT - https://youtu.be/q67HOVpLub0
Radiographer Films Inside of a CT scanner spinning at full speed https://youtu.be/pLajmU4TQuI

Music Reference
XTaKeRuX - White Crow https://freemusicarchive.org/music/XTaKeRuX/Empty_Grave/White_Crow
The Zombie Dandies - Living in Darkness https://freemusicarchive.org/music/Zombie_Dandies/Lo-Fi_Heroes/The_Zombie_Dandies_-_Lo-Fi_Heroes_-_07_Living_in_Darkness
XTaKeRuX - Shinigami https://freemusicarchive.org/music/XTaKeRuX/Empty_Grave/Shinigami
XTaKeRuX - Beast but not feast https://freemusicarchive.org/music/XTaKeRuX/Empty_Grave/Beast_but_not_least
XTaKeRuX - Demonization https://freemusicarchive.org/music/XTaKeRuX/Demonized/Demonization
Zoliborz - Poincare Conjecture https://freemusicarchive.org/music/Zoliborz/Poincare_Conjecture
Damiano Baldoni - A Ghra https://freemusicarchive.org/music/Damiano_Baldoni/Lost_Dinasty/A_GhrO