Chrono CDI Phase Retrieval for Dynamic Process Imaging

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Solution Overview

Problem

Current phase retrieval algorithms in coherent diffraction imaging require excessive oversampling, limiting the temporal resolution and making it difficult to image dynamic processes such as crystal growth or strain in battery cathode nanoparticles due to prolonged radiation dose and measurement time.

Innovation Solution

The chrono CDI method reduces oversampling by acquiring a plurality of 3D data sets at different time states, using information from all time states to reconstruct 3D images with reduced diffraction patterns, allowing for image fidelity maintenance with fewer measurements than conventional methods, thereby improving temporal resolution.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional phase retrieval algorithms are used to ensure image fidelity, then measurement precision is maintained, but measurement time increases and temporal resolution deteriorates

Engineering Contradiction:
Improveimage fidelityVSAvoidmeasurement time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent applies preliminary action by using the initial and final time state data sets (which satisfy Nyquist sampling) to compute reference images before reconstructing intermediate time states. This pre-computed information from boundary time points guides the reconstruction of intermediate states, allowing fewer measurements while maintaining fidelity.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent uses copying by generating a reference image from the initial and final time state data sets and using this reference to guide the reconstruction of intermediate time states. The reference acts as a template that copies structural information, allowing intermediate states to be reconstructed with fewer measurements while maintaining image fidelity through correlation with the reference.

Inventive Principle:
Principle #26Copying

2Measurement precision

If Nyquist sampling requirements are satisfied to maintain image fidelity, then measurement precision is improved, but the number of measurements increases and productivity decreases

Engineering Contradiction:
Improveimage fidelityVSAvoidtemporal resolution
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The patent applies partial action by requiring full Nyquist sampling only at the initial and final time states, while using reduced sampling for intermediate time states. This partial application of the sampling requirement at critical boundary points provides sufficient information to guide reconstructions at intermediate points with fewer measurements, improving productivity while maintaining fidelity.

Inventive Principle:
Principle #16Partial or excessive action

Solution Approach 2:

The patent changes the sampling parameter dynamically across different time states. Full sampling is applied at initial and final states where complete information is needed, while reduced sampling is applied at intermediate states where temporal correlation with boundary states allows fidelity to be maintained with fewer measurements, thus improving temporal resolution.

Inventive Principle:
Principle #35Parameter changes

3Loss of time

If the number of diffraction patterns is reduced to improve temporal resolution, then measurement time decreases, but image fidelity may be compromised

Engineering Contradiction:
Improvemeasurement timeVSAvoidimage fidelity
Core Design Contradiction:
Loss of timeVSMeasurement precision

Solution Approach 1:

The patent implements feedback by using the reference image computed from initial and final time states to guide and evaluate the reconstruction of intermediate time states. The correlation between reconstructed intermediate images and the reference provides feedback that ensures fidelity is maintained even when fewer diffraction patterns are used, allowing reduced measurement time without compromising quality.

Inventive Principle:
Principle #23Feedback

4Measurement precision

If full sampling is performed at all time states to ensure accurate reconstruction, then measurement precision is maintained, but radiation dose increases

Engineering Contradiction:
Improvereconstruction accuracyVSAvoidradiation dose
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

The patent applies preliminary action by performing full sampling at the initial and final time states to establish accurate reference images, then using these references to guide reduced-sampling reconstructions at intermediate states. This ensures reconstruction accuracy is maintained through the reference guidance while reducing the total number of measurements and associated radiation dose.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent uses copying by creating a reference image from fully-sampled boundary time states and using this reference to guide intermediate state reconstructions. The reference copies essential structural information, allowing accurate reconstruction with fewer measurements and reduced radiation exposure.

Inventive Principle:
Principle #26Copying

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach enhances the temporal resolution of coherent diffraction imaging by reducing the number of measurements required, enabling the imaging of faster dynamics and reducing radiation dose, while maintaining image fidelity, with the ability to image processes up to 20 times faster than conventional methods.

Implementation Method 1

the beam scattered by the object produces a diffraction pattern that is measured by an area detector

Methodology Applied
Scientific EffectDiffraction: Diffraction

Data Source

PatentUS10078305B2Method for phase retrieval to reduce a sampling requirement when imaging a dynamic process
Publication Date: 2018.09.18 UCHICAGO ARGONNE LLC
  • US10078305B2 patent drawing
  • US10078305B2 patent drawing
  • US10078305B2 patent drawing

AI summary

A method for retrieving phase information in a coherent diffraction imaging process includes acquiring a plurality of 3D data sets, each 3D data set corresponding to one of a plurality of time states, and reconstructing a 3D image of the object at a given time state using the 3D data set from all of the time states. Each 3D data set is acquired by: illuminating an object positioned in a first position with a coherent beam; measuring a first 2D diffraction pattern using an area detector; rotating the object around a tilt axis thereof to a second position that is different from the first position; re-illuminating the object positioned in the second position with the coherent beam; re-measuring a second 2D diffraction pattern using the area detector; and repeating the rotating, re-illuminating and re-measuring steps such that each 3D data set includes a predetermined number of diffraction patterns.