Spline based iterative phase retrieval algorithm for X-ray differential phase contrast radiography.

Area of Science:

• Medical Imaging
• X-ray Radiography
• Phase Contrast Imaging

Background:

• Differential phase contrast imaging using grating interferometry offers absorption, differential phase, and scattering information simultaneously.
• Phase retrieval is crucial for quantitative analysis in medical imaging.
• Conventional X-ray radiography lacks soft tissue contrast.

Purpose of the Study:

• To formalize phase retrieval as a regularized inverse problem.
• To propose a novel discretization scheme for the derivative operator using B-spline calculus.
• To develop a constrained regularized weighted-norm algorithm (CRWN) for fast and accurate phase retrieval.

Main Methods:

• Phase retrieval formulated as a regularized inverse problem.
• Novel discretization scheme for the derivative operator based on B-spline calculus.
• Constrained regularized weighted-norm algorithm (CRWN) for solving the inverse problem.

Main Results:

• The proposed method successfully retrieves phase information from differential phase signals.
• Phase images exhibit enhanced and higher soft tissue contrast compared to absorption-based methods.
• The CRWN algorithm ensures fast implementation and accurate results.

Conclusions:

• The novel phase retrieval method improves soft tissue contrast in differential phase contrast mammography.
• This technique has the potential to provide valuable information for mammographic investigations.
• B-spline calculus and CRWN offer an efficient approach for quantitative phase retrieval in medical imaging.