Multi-Shell Ankylography

TL;DR

This paper demonstrates that ankylography can reconstruct 3D images with significantly fewer views than traditional tomography, potentially benefiting imaging of sensitive or unstable samples.

Contribution

It introduces the application of ankylography for 3D imaging with fewer views, supported by numerical simulations and eigenvalue analysis.

Findings

Ankylography enables 3D reconstruction with fewer views.

Numerical simulations confirm the effectiveness of the technique.

Potential applications in optical and x-ray imaging fields.

Abstract

Three-dimensional (3D) imaging techniques appeal to a broad range of scientific and industrial applications. Typically, projection slice theorem enables multiple two-dimensional (2D) projections of an object to be combined in the Fourier domain to yield a 3D image. However, traditional techniques require a significant number of projections. The significant number of views required in conventional tomography not only complicates such imaging modalities, but also limits their ability to image samples that are sensitive to radiation dose or are otherwise unstable in time. In this work, we demonstrate through numerical simulations and an eigenvalue analysis that a recently developed technique called ankylography enables 3D image reconstruction using much fewer views than conventional tomography. Such a technique with the ability to obtain the 3D structure information from a few views is expected to find applications in both optical and x-ray imaging fields.