Meaning of Interior Tomography

Abstract

The classic imaging geometry for computed tomography is for collection of un-truncated projections and reconstruction of a global image, with the Fourier transform as the theoretical foundation that is intrinsically non-local. Recently, interior tomography research has led to theoretically exact relationships between localities in the projection and image spaces and practically promising reconstruction algorithms. Initially, interior tomography was developed for x-ray computed tomography. Then, it has been elevated as a general imaging principle. Finally, a novel framework known as omni-tomography is being developed for grand fusion of multiple imaging modalities, allowing tomographic synchrony of diversified features.

47 pages, 14 figures, to appear in Physics in Medicine and Biology

References in corpus (3)

• Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints
• Anomalous scaling law for noise variance and spatial resolution in differential phase contrast computed tomography
• Differential Phase-contrast Interior Tomography

Cited by in corpus (6)

• Photon-counting CT thermometry via material decomposition and machine learning
• Photon allocation strategy in region-of-interest tomographic imaging
• Interior X-ray diffraction tomography with low-resolution exterior information
• Limited Tomography Reconstruction via Tight Frame and Sinogram Extrapolation
• NLTG Priors in Medical Image: Nonlocal TV-Gaussian (NLTG) prior for Bayesian inverse problems with applications to Limited CT Reconstruction
• Region-of-Interest reconstruction from truncated cone-beam projections