Gamma Camera Dose Rate Estimation via Mesh Discretization

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Solution Overview

Problem

Existing methods struggle to accurately estimate dose rates from extensive and non-homogeneous irradiation sources in nuclear facilities, as they rely on time-consuming models that are subject to geometric assumptions and do not account for spatial distribution.

Innovation Solution

A method using a gamma camera to discretize the observation field into a mesh, with each pixel detecting radiation and forming an energy spectrum, allowing for the estimation of dose rates by modeling the spatial distribution of activity and applying a conversion function to photon flux, minimizing differences in detected photon fluxes across pixels.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If time-consuming computer models with geometric assumptions are used to estimate dose rates from extensive sources, then spatial distribution can be accounted for, but the measurement time and complexity increase significantly

Engineering Contradiction:
Improvedose rate estimation accuracyVSAvoidmeasurement time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent divides the observation field into a mesh of discrete points and the extensive source into multiple point sources distributed across the mesh. Each mesh point is treated as an independent element with its own activity value, allowing the continuous source to be represented as a sum of discrete point sources. This segmentation enables the use of simpler point source dose rate formulas while still accounting for spatial distribution across the entire extensive source.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent replaces complex computer-based modeling with a mathematical optimization approach using linear algebra and least squares minimization. Instead of using time-consuming Monte Carlo simulations or deterministic transport codes, the invention formulates the dose rate estimation as a system of linear equations that can be solved efficiently using standard mathematical algorithms, dramatically reducing computation time while maintaining accuracy.

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

2Productivity

If point source assumptions are used for dose rate estimation, then calculations are simpler and faster, but accuracy deteriorates when sources are extensive

Engineering Contradiction:
Improvecalculation speedVSAvoiddose rate estimation accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent segments the extensive source into multiple discrete point sources distributed across a mesh grid. By representing the continuous extensive source as a collection of discrete point sources at mesh points, the method maintains the simplicity of point source calculations while capturing the spatial distribution effects that would otherwise require complex modeling. The total dose rate is obtained by summing contributions from all mesh point sources.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces a spatial dimension by creating a mesh grid across the observation field and assigning activity values to each mesh point. This transforms the problem from a single point source calculation to a distributed source model where the source extends across multiple spatial locations. The mesh structure adds spatial resolution without requiring complex 3D modeling, enabling accurate representation of extensive sources through a systematic grid-based approach.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

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 precise estimation of dose rates from widespread irradiation sources by accounting for spatial distribution, reducing reliance on time-consuming models and improving accuracy.

Implementation Method 1

The gamma camera comprises pixels, each pixel being configured to detect the ionizing electromagnetic radiation, during an acquisition time, and to form an energy spectrum thereof

Methodology Applied
Scientific EffectElectromagnetic radiation detection: Photoelectric Effect

Data Source

PatentEP3828597B1Method for estimating a dose flow rate from a spectral image
Publication Date: 2025.06.25 COMMISSARIAT A LENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
  • EP3828597B1 patent drawingFigure 1A~1B
  • EP3828597B1 patent drawingFigure 1C
  • EP3828597B1 patent drawingFigure 2

AI summary

Method for estimating a dose rate, from measurements made by a gamma camera (2), the gamma camera defining an observation field (Ω), - the estimated dose rate from irradiation sources (10a, 10b) located in the observation field, the irradiation sources emitting ionizing electromagnetic radiation; - the observation field being discretized according to a mesh; - the gamma camera (2) comprising pixels (2j), each pixel being configured to detect the ionizing electromagnetic radiation, during an acquisition time, and to form an energy spectrum, each pixel being associated with at least one point of the mesh, such that the set of pixels makes it possible to obtain a position of the irradiation sources in the observation field, in an energy band (Ei) or in several energy bands;the process involving an estimation of a dose rate generated, at the gamma camera level, by points in the mesh.;