ResearchResearch paperImage, Video & 3D Generation · Efficiency & Inference · Computer Vision1 source · Oct 17, 2026

Hexagonal Basis Projectors for Model-Based Iterative CT Reconstruction

We develop constant and linear hexagonal projectors for two-dimensional fan-beam CT using box spline calculus.

Key points

  • Image representation affects both the forward model and quantitative feature recovery in model-based iterative CT reconstruction.
  • For isotropically bandlimited signals, the hexagonal lattice is the most sampling-efficient lattice in two dimensions, with greater directional isotropy and a larger alias-free bandwidth than the Cartesian grid at equal density.
  • We derive analytic ray footprints and effective detector-blur expressions and implement efficient GPU forward and backprojection.
  • These results establish a practical hexagonal representation for quantitative CT.

Sources (1)

  • [1]Hexagonal Basis Projectors for Model-Based Iterative CT Reconstruction
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 17, 01:27 AM
    We develop constant and linear hexagonal projectors for two-dimensional fan-beam CT using box spline calculus.
    Image representation affects both the forward model and quantitative feature recovery in model-based iterative CT reconstruction.

Extractive summary: sentences quoted from the sources.

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