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Influence of thresholding on centroid statistics: full analytical description.
1Depar mento de Fisica Aplicada (Area de Optica), Universidade de Santiago de Compostela (Campus SUR), 15782 Santiago de Compostela, Spain. fatxutxa@usc.es
Applied Optics
|November 16, 2004
Summary
We analyzed the impact of thresholding on the centroid method for optical sensors. Correct thresholding is crucial for accurate subpixel location, especially with noisy data.
Area of Science:
- Optical sensing
- Image processing
- Metrology
Background:
- The centroid method is widely used for subpixel location in optical sensors.
- Thresholding algorithms are essential for removing background noise and improving precision.
- The interplay between centroiding and thresholding in noisy conditions requires detailed analysis.
Purpose of the Study:
- To provide a comprehensive analytical description of the interaction between centroiding and thresholding.
- To analyze the statistical properties (mean and variance) of this interaction under Gaussian noise.
- To offer guidance for sensor designers on optimal thresholding strategies before centroid computation.
Main Methods:
- Analytical modeling of centroiding and thresholding interaction.
- Statistical analysis of mean and variance.
- Validation using simulated and experimental data.
Main Results:
- A detailed analytical framework for understanding centroiding and thresholding.
- Quantification of the statistical impact of thresholding on centroid accuracy.
- Demonstration of the relationship using both simulated and real-world data.
Conclusions:
- Thresholding significantly influences centroid method precision.
- Understanding this interaction is vital for accurate subpixel measurements.
- Sensor designers can optimize performance by correctly applying thresholding prior to centroid calculation.