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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
Published on: October 11, 2016
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Boundary value problem for phase retrieval from unidirectional X-ray differential phase images.
Optics Express
|June 16, 2015
Summary
This study introduces a novel method for X-ray phase retrieval using a mixed boundary condition and finite element technique. This approach improves reconstruction accuracy for complex biomedical samples.
Area of Science:
- Computational physics
- Image reconstruction
- Biomedical optics
Background:
- Phase retrieval is crucial for X-ray imaging.
- Minimizing reconstruction artifacts is essential for accurate analysis.
- A priori information can enhance phase retrieval.
Purpose of the Study:
- To develop a robust phase retrieval method for X-ray imaging.
- To retrieve absolute X-ray phase values.
- To minimize reconstruction artifacts using novel boundary conditions.
Main Methods:
- Reduced the phase retrieval problem to a second-order partial differential equation.
- Defined a mixed inhomogeneous boundary condition incorporating a priori sample information.
- Employed the finite element technique to solve the boundary value problem.
Main Results:
- Validated the approach on both numerical and experimental phantoms.
- Successfully processed a tomographic set of differential phase images.
- Estimated the refractive index decrement in complex biomedical samples.
Conclusions:
- The proposed method effectively retrieves absolute X-ray phase values.
- The finite element technique with mixed boundary conditions minimizes artifacts.
- This approach has potential applications in biomedical imaging and material science.

