Virtual Index Matching for Tomographic Reconstruction
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Solution Overview
Problem
Current tomographic imaging techniques face challenges in accurately and efficiently reconstructing three-dimensional distributions of fluorescent signals in heterogeneous media due to complex geometries and refractive index mismatches, leading to reduced accuracy and increased computational time.
Innovation Solution
The virtual index matching technique transforms measurements to simulate a homogeneous medium, allowing the use of infinite homogeneous functions for fast reconstruction and enabling propagation to virtual detectors, thereby simplifying the reconstruction process and reducing computational complexity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If accurate numerical methods are used for tomographic reconstruction in heterogeneous media, then measurement precision is improved, but computing time increases significantly
Solution Approach 1:
The patent introduces an intermediary transformation step that converts measurements from heterogeneous media into equivalent measurements in a homogeneous medium. This intermediary representation allows the use of fast analytical reconstruction algorithms while preserving the accuracy benefits of accounting for heterogeneity, thus resolving the contradiction between precision and computing time.
Solution Approach 2:
The patent transforms the problem parameters by changing the reference medium from heterogeneous to homogeneous through a mathematical transformation. This parameter change enables the use of efficient analytical solutions while maintaining accuracy, as the transformation accounts for heterogeneity effects without requiring computationally intensive numerical methods in the reconstruction process.
2Manufacturing precision
If complex numerical methods are employed to handle arbitrary geometries, then manufacturing precision of the imaging model is improved, but device complexity increases
Solution Approach 1:
The patent uses an intermediary transformation that maps complex geometric problems into a simplified homogeneous medium framework. This intermediary approach maintains geometric accuracy while enabling the use of simple analytical reconstruction algorithms, thus reducing device complexity without sacrificing modeling precision.
Solution Approach 2:
The patent creates a transformed copy of the measurement data in a homogeneous medium representation. This copied representation preserves all necessary geometric and optical information while allowing the use of simple reconstruction algorithms, effectively decoupling geometric complexity from algorithmic complexity.
3Ease of operation
If measurements are taken in free space with refractive index mismatch, then ease of operation is improved, but measurement precision deteriorates due to boundary effects
Solution Approach 1:
The patent introduces a mathematical intermediary transformation that corrects for refractive index boundary effects. This transformation acts as a mediator between the simple free-space measurement setup and the accurate reconstruction requirement, eliminating boundary artifacts while preserving the operational simplicity of air-based measurements.
Solution Approach 2:
The patent converts the harmful boundary effects caused by refractive index mismatch into beneficial correction terms through mathematical transformation. The boundary effects that normally degrade precision are transformed into known analytical corrections that improve reconstruction accuracy while maintaining the simplicity of free-space measurements.
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 enables faster and more accurate reconstruction of fluorescent signal distributions in arbitrary geometries, improving the quantification and localization of contrast agents or probes while reducing computational time and simplifying the underlying equations.
Implementation Method 1
one or more virtual-matching transformation(s) is/are applied to the data corresponding to the detected fluorescent light to account for a refractive index discontinuity at the surface of the subject
Data Source
AI summary
The invention relates to systems and methods for tomographic imaging of a subject comprising diffuse media by converting measurements of electromagnetic radiation, e.g., fluorescent light, obtained in free space exterior to the subject into data that would be measured if the subject were surrounded by an infinite and homogeneous diffusive medium, e.g., a medium with optical properties equal to the average optical properties of the subject. After applying a transformation to convert measurements to virtually-matched values, propagation of light is simulated from the index-matched surface to a set of virtual detectors exterior to the subject and arranged in a geometrically advantageous fashion, for example, in a planar array, thereby facilitating the use of fast reconstruction techniques.