Fundamental Limits of "Ankylography" due to Dimensional Deficiency

TL;DR

This paper investigates the fundamental limitations of ankylography, revealing that it cannot reliably reconstruct large 3D structures due to inherent dimensional deficiencies, thus restricting its practical applications.

Contribution

It provides a theoretical analysis showing the inherent dimensional deficiency in single-shot diffractive imaging, clarifying the scope and limitations of ankylography.

Findings

Ankylography is limited to small or nearly 2D objects.

Single-shot 3D imaging faces fundamental dimensional constraints.

The method does not scale well for large 3D structures.

Abstract

Single-shot diffractive imaging of truly 3D structures suffers from a dimensional deficiency and does not scale. The applicability of "ankylography" is limited to objects that are small-sized in at least one dimension or that are essentially 2D otherwise.