Multidimensional signal processing | Inverse problems | Signal processing

Tomographic reconstruction

Tomographic reconstruction is a type of multidimensional inverse problem where the challenge is to yield an estimate of a specific system from a finite number of projections. The mathematical basis for tomographic imaging was laid down by Johann Radon. A notable example of applications is the reconstruction of computed tomography (CT) where cross-sectional images of patients are obtained in non-invasive manner. Recent developments have seen the Radon transform and its inverse used for tasks related to realistic object insertion required for testing and evaluating computed tomography use in airport security. This article applies in general to reconstruction methods for all kinds of tomography, but some of the terms and physical descriptions refer directly to the reconstruction of X-ray computed tomography. (Wikipedia).

Tomographic reconstruction
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From playlist A Level Physics Revision

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Tim Salditt - Phase Retrieval & Tomographic Reconstruction in X-ray Near-field Diffractive Imaging

Recorded 11 October 2022. Tim Salditt of the Georg-August-Universität zu Göttingen presents "Phase Retrieval and Tomographic Reconstruction in X-ray Near-field Diffractive Imaging: Inverse Problems at Work - An Experimentalist’s View" at IPAM's Diffractive Imaging with Phase Retrieval Work

From playlist 2022 Diffractive Imaging with Phase Retrieval - - Computational Microscopy

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Learned image reconstruction for high-resolution (...) - Betcke - Workshop 3 - CEB T1 2019

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From playlist 2019 - T1 - The Mathematics of Imaging

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Fourier Series Reconstruction On Map Contours using Matlab

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From playlist Sampling and Reconstruction of Signals

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From playlist Sampling and Reconstruction of Signals

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Albert Fannjiang - From Tomographic Phase Retrieval to Projection Tomography - IPAM at UCLA

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Ayelet Heimowitz - Center of Mass Alignment for Noisy Tomographic Projections - IPAM at UCLA

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Mikhail Kudryashev - High throughput, high performance algorithms for high res subtomogram averaging

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Related pages

Radon transform | Exponential decay | CT scan | Johann Radon | Dirac delta function | Parallel projection | Projection-slice theorem | Discretization | Hilbert transform | SAMV (algorithm) | Fourier transform | Inverse problem | Projection (linear algebra) | Discrete Fourier transform