Tomographic Projection Correction via Capacitive Sensor Displacement Measurement

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Solution Overview

Problem

Conventional rotating stages for 3D x-ray and transmission electron microscope imaging struggle with achieving high positional precision due to random errors from bearings, spindle wobble, and thermal expansion, leading to misregistered projections and artifacts in tomographic reconstructions.

Innovation Solution

A passive correction method using precision-machined, low-coefficient-of-thermal-expansion gold-coated cylinders with capacitive distance sensors to measure and correct for sample displacements during tomography, applying shifts in image processing without active spindle correction, allowing for accurate reconstruction without altering the acquisition process.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If conventional rotating stages are used for tomography, then the system is simpler and easier to manufacture, but positional precision deteriorates due to bearing errors, spindle wobble, and thermal expansion

Engineering Contradiction:
Improvepositional precisionVSAvoidsystem complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent replaces active mechanical correction systems with a passive software-based correction approach. Instead of using complex active correction mechanisms to physically adjust the sample position, the invention measures the actual position using capacitive sensors and corrects the projections through computational shifting, thereby achieving high precision without complex mechanical correction hardware

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent creates a digital model of the rotation stage errors by measuring the actual sample position at each angle using capacitive sensors. This digital representation of position errors is then used to correct the projections computationally, replacing the need for physical correction mechanisms

Inventive Principle:
Principle #26Copying

2Manufacturing precision

If active correction systems are implemented, then positional accuracy is improved, but device complexity and cost increase significantly

Engineering Contradiction:
Improveposition accuracyVSAvoidcorrection system complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent substitutes mechanical active correction systems with a software-based correction method. Instead of using actuators and sensors to physically adjust the sample holder position during acquisition, the invention measures position errors with capacitive sensors and applies computational corrections to the projections, eliminating complex mechanical correction hardware

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The system performs self-measurement and self-correction by using capacitive sensors to measure the actual sample position and then applying appropriate shifts to the projections during reconstruction, without requiring external active correction mechanisms

Inventive Principle:
Principle #25Self-service

3Measurement precision

If X/Y/Z stages are placed on top of theta stage for active correction, then sample positioning is improved, but tip/tilt and runout errors increase

Engineering Contradiction:
Improvesample positioning precisionVSAvoidtip/tilt accuracy
Core Design Contradiction:
Measurement precisionVSManufacturing precision

Solution Approach 1:

The patent replaces mechanical X/Y/Z correction stages with a software-based correction approach. Instead of adding another mechanical stage that introduces tip/tilt errors, the invention uses capacitive sensors to measure position and applies computational shifts to projections, achieving high positioning precision without additional mechanical error sources

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

4Device complexity

If passive software correction is used, then device complexity is reduced and cost is lowered, but measurement precision must be maintained through accurate position sensing

Engineering Contradiction:
Improvesystem complexityVSAvoidposition measurement accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent uses capacitive sensors to measure the actual sample position with high precision and replaces complex mechanical correction systems with software-based projection shifting. This substitution achieves both reduced device complexity and maintained measurement precision by relying on accurate electrical field-based position sensing rather than mechanical measurement systems

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

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 effectively corrects for sample position errors in x-ray and electron microscope imaging, reducing artifacts and maintaining high precision in tomographic reconstructions by accurately shifting projections based on measured displacements, thus enhancing image quality and accuracy.

Implementation Method 1

three or more capacitive distance sensors

Methodology Applied
Scientific EffectCapacitance: Capacitance

Data Source

PatentUS8353628B1Method and system for tomographic projection correction
Publication Date: 2013.01.15 CARL ZEISS X-RAY MICROSCOPY INC
  • US8353628B1 patent drawing
  • US8353628B1 patent drawing
  • US8353628B1 patent drawing

AI summary

The position of the sample is measured and used to correct for any off-axis motion during tomography using x-ray projection microscope system with a rotation stage system. The position is sensed using a precision-machined, low-CTE gold-coated cylinder or disc and three to five capacitive distance sensors. The correction can then be performed purely as image processing in software, by applying an appropriate shift in X and Y of the captured x-ray projections. A calibration is often necessary for each system (gold disc plus sensors plus sample stage) to account for any machining errors of the gold disc or positioning errors of the capacitive sensors. This calibration should also be repeated whenever any maintenance is performed on the metrology setup.