Stray-light PSF Determination for Imaging Systems

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Solution Overview

Problem

Imaging systems, including optical and x-ray systems, suffer from stray light flux misdirection, which degrades image contrast and accuracy due to factors like Fresnel reflections, diffraction, and scattering, and existing methods for correcting stray light are either computationally intensive or introduce additional errors.

Innovation Solution

A method and apparatus to determine the stray-light point-spread function (PSF) of an optical imaging system using a source with a discrete boundary, capturing images at various orientations and positions to estimate PSF parameters through a functional form model that accounts for stray light, diffraction, and aberrations, and corrects image data using a cost function minimization approach.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If traditional stray light correction methods are used, then image contrast and accuracy are improved, but computational complexity and processing time increase significantly

Engineering Contradiction:
Improveimage accuracyVSAvoidcomputational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent pre-determines the stray light point-spread function (PSF) through systematic measurement using edge targets at multiple positions and orientations. This PSF characterization is performed beforehand and stored for use in correcting actual images, avoiding the need for complex real-time calculations during image processing while maintaining high correction accuracy

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent uses edge targets with known geometric shapes to create reference images that copy the stray light effects. By analyzing these reference images and comparing them with the known target geometry, the system derives the stray light PSF without needing to process the actual subject image, thus separating the correction methodology from the imaging task

Inventive Principle:
Principle #26Copying

2Productivity

If simple offset and gain manipulations are applied to correct stray light, then processing time is reduced, but color accuracy and image fidelity deteriorate

Engineering Contradiction:
Improveprocessing speedVSAvoidcolor accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent replaces simple arithmetic operations (offset and gain manipulations) with a physics-based computational model that uses the determined stray light PSF. The correction is achieved through convolution operations with the PSF, which accurately models the physical stray light pathways while maintaining computational efficiency through pre-characterization

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

Solution Approach 2:

The patent transforms the correction approach by changing from uniform parameter adjustments (offset/gain) to spatially varying parameters derived from the PSF. The PSF contains position-dependent stray light characteristics that are applied to correct different regions of the image appropriately, preserving color accuracy while maintaining processing efficiency

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If comprehensive stray light characterization is performed, then correction accuracy is improved, but measurement and data acquisition complexity increases

Engineering Contradiction:
ImprovePSF determination accuracyVSAvoidmeasurement complexity
Core Design Contradiction:
Measurement precisionVSDifficulty of detecting and measuring

Solution Approach 1:

The patent segments the stray light characterization process into discrete measurement steps: capturing edge images at multiple field positions, then at multiple orientations, and processing them separately. This segmentation allows systematic collection of comprehensive data while keeping each measurement step simple and manageable

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent uses a single edge target object that serves multiple functions: it provides known geometric features for reference, creates high-contrast edges for detecting stray light, and can be positioned at multiple locations to map the entire field of view. This universal test object simplifies the measurement apparatus while enabling comprehensive PSF characterization

Inventive Principle:
Principle #6Universality (Multi-functionality)

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 characterizes and corrects stray light effects in imaging systems, improving image quality by accurately determining the PSF and compensating for stray flux, thereby enhancing contrast and accuracy.

Implementation Method 1

an optical system, x-ray systems, and computerized tomography systems

Methodology Applied
Scientific EffectLight propagation: Light

Implementation Method 2

The imaging device, such as a camera lens, including all of its optical, mechanical and electrical components, may convey flux from the object plane onto an image plane

Methodology Applied
Scientific EffectImage formation: Lens

Implementation Method 3

Fresnel reflections from optical-element surfaces, as noted in U.S. Pat. No. 6,829,393

Methodology Applied
Scientific EffectFresnel reflections: Reflection

Implementation Method 4

diffraction at aperture edges

Methodology Applied
Scientific EffectDiffraction: Diffraction

Implementation Method 5

scattering from air bubbles in transparent glass or plastic lens elements

Methodology Applied
Scientific EffectScattering: Scattering

Data Source

PatentUS8396320B2Method and apparatus for determining the stray-light point-spread function of an imaging system
Publication Date: 2013.03.12 PURDUE RES FOUND
  • US8396320B2 patent drawing
  • US8396320B2 patent drawing
  • US8396320B2 patent drawing

AI summary

A method of determining the point-spread function (PSF) of an imaging system includes the steps of capturing image data, establishing an idealized source spot, establishing a functional form model, subtracting the captured image from the estimated image equation and determining a metric that measures the fit of the estimated image to the captured image. The functional form model may include both diffraction and aberration and stray light. The functional form model may be optimized to reduce the metric to an acceptable level.