Tomography Lecture 3 - Backprojection and the Radon Inversion Theorem скачать в хорошем качестве

Tomography Lecture 3 - Backprojection and the Radon Inversion Theorem

Here we look at how we might approach the recovery of a(n) (attenuation) function from its Radon transforms. We talk about backprojection and Radon's 1917 paper and his method for inversion. Music: Flames by Dan Henig Flowers in Heaven by Craig Hardgrove Empire Season by Dan Henig Dude by Patrick Patrikios Pluck and Play by Kwon Chomber by Craig Hardgrove Guardians + Tek by Craig Hardgrove 0:00 Start 8:40 Whiteboard Start 13:15 Backprojection Definition 19:29 Backprojection Example 1 24:29 Backprojection Example 2 32:00 Radon Inversion Theorem 33:00 Condition on the Function (Theorem Hypothesis) 36:40 Theorem Statements (I, II) 41:20 Theorem III (Inversion Theorem) 50:36 Start of Proof (I, II) 1:07:21 Start of Proof to (III) 1:21:56 Exchange of Variables 1:36:30 Approximate Identity Argument - Setup 1:45:12 Approximate Identity Argument 2:00:11 Closing Remarks