Related Experiment Video
Updated: Aug 3, 2026

14:58
Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
Published on: June 3, 2010
Convolution-based scatter correction using kernels combining measurements and Monte Carlo simulations
Navnina Bhatia1, David Tisseur1, Jean Michel Létang2
1CEA, LIST, F-91191, Gif-sur-Yvette, France.
Journal of X-Ray Science and Technology
|April 8, 2017
Summary
Scatter contamination in Cone-Beam Computed Tomography (CBCT) degrades image quality. A novel four-Gaussian model, combining simulations and experiments, effectively estimates scatter kernels for industrial CBCT applications.
Area of Science:
- Medical Imaging
- Computational Imaging
- Image Processing
Background:
- Scatter contamination is a significant challenge in Cone-Beam Computed Tomography (CBCT), degrading image quality and leading to inaccuracies.
- The scatter-to-primary ratio is particularly high in industrial applications, exacerbating image artifacts.
Purpose of the Study:
- To develop and validate an improved method for estimating scatter kernels in industrial CBCT.
- To compare a novel four-Gaussian scatter kernel model with a traditional two-Gaussian model.
Main Methods:
- Combined experimental measurements and Monte Carlo simulations to estimate scatter kernels.
- Utilized a continuously thickness-adapted kernels strategy with a four-Gaussian model.
- Compared the four-Gaussian model against an experimental two-Gaussian model.
Main Results:
- The four-Gaussian model demonstrated superiority in accounting for both object and detector scatter compared to the two-Gaussian model.
- Scatter kernels were parameterized with respect to object-to-detector distance.
- The proposed approach enables scatter kernel calculation across a wide range of magnifications.
Conclusions:
- A four-Gaussian scatter kernel model, validated through simulations and experiments, offers superior performance for industrial CBCT scatter correction.
- The developed parameterization simplifies scatter kernel estimation for diverse acquisition geometries.
Related Concept Videos
Cluster Sampling Method
Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
Calibration Curves: Linear Least Squares
A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
For data that follow a straight line, the standard method for fitting is the linear...
Calibration Curves: Correlation Coefficient
In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the other increases, and...
Convolution: Math, Graphics, and Discrete Signals
In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
Convolution Properties II
The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
Distance Corrections
To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...

