Overview "Algorithmic Task" (202 entries)

• ➔ Problem - Inversion of the 2D Radon transform with standard parallel-beam scanning
• ➔ Problem - Inversion of the 3D ray transform (line integrals in 3D)
• ➔ Problem - Inversion of the attenuated Radon transform (AtRT)
• ➔ Problem - Inversion of the exponential Radon transform (ERT)
• ➔ Problem - Inversion with parallel interlaced scanning (alternating view groups)
• ➔ Problem - MRI reconstruction from non-Cartesian k-space samples
• ➔ Problem class - Diffraction tomography / Fourier diffraction theorem reconstruction
• ➔ Problem class - Inversion of 3D Radon/ray/cone-beam transforms
• ➔ Problem class - Inversion of the 2D Radon transform (parallel/fan-beam)
• ➔ Problem class - MRI k-space reconstruction from non-Cartesian samples
• ➔ Problem class - Poisson-likelihood emission tomography reconstruction (PET/SPECT)
• ➔ Problem Class: Band-diagonal linear systems
• ➔ Problem class: commutative algebra problems on polynomial ideals (division, membership, Gröbner basis, quotient)
• ➔ Problem class: computation of a matrix inverse by augmentation and elimination
• ➔ Problem class: computation of the determinant of a square matrix using elimination