End-to-end color printer calibration by total least squares regression
1Information Sciences and Systems, Department of Electrical Engineering, Princeton University, Princeton, NJ 08544, USA. xia@ee.princeton.edu
Summary
Total Least Squares (TLS) regression improves Neugebauer model parameter estimation for color printer calibration. This method is more accurate than traditional Least Squares, especially with limited print measurement data.
Area of Science:
- Color Science
- Image Processing
- Computational Imaging
Background:
- Neugebauer modeling is crucial for accurate color printer characterization.
- Traditional Least Squares (LS) methods have limitations in printer modeling.
- Accurate modeling is essential for effective halftone color printer calibration.
Purpose of the Study:
- To propose and evaluate Total Least Squares (TLS) regression for Neugebauer model parameter estimation.
- To compare the performance of TLS against traditional LS methods in printer modeling.
- To demonstrate the physical appropriateness of TLS for accounting for measurement errors.
Main Methods:
- Development of a TLS method using single-colorant step-wedge print measurements.
- Extension of the TLS method to multicolorant prints via an iterative algorithm.
- Comparison of LS and TLS techniques on two different color printers with varying halftone screen configurations.
Main Results:
- TLS methods consistently and significantly outperform LS-based techniques for parameter estimation.
- The improvement from TLS is particularly notable when the available measurement data is limited.
- TLS provides a more physically appropriate model by accounting for errors in reflectance measurements.
Conclusions:
- Total Least Squares regression offers a superior approach to Neugebauer model parameter estimation.
- The proposed TLS methods enhance the accuracy of end-to-end device characterization profiles for color printers.
- This work provides a more robust and accurate method for color printer calibration, especially in data-scarce scenarios.
Related Concept Videos
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...
Residuals and Least-Squares Property
The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
Glassware Calibration
Accurate calibration of glassware, such as volumetric flasks, pipettes, and burettes, is essential to ensure accurate measurements in the analytical laboratory. Calibration helps maintain consistency across measurements and prevents errors arising from inaccurate volumes.
Volumetric flasks: Volumetric flasks are designed to prepare aqueous solutions of precise volumes accurately with a calibration line on the neck. To calibrate a volumetric flask, it is important to fill it with distilled...
Volumetric flasks: Volumetric flasks are designed to prepare aqueous solutions of precise volumes accurately with a calibration line on the neck. To calibrate a volumetric flask, it is important to fill it with distilled...
Instrument Calibration
Instrument calibration is essential for ensuring that instruments produce accurate and consistent results. It is vital in manufacturing, healthcare, testing laboratories, and scientific research. Calibration processes are specific to each instrument and help enhance data accuracy. Each instrument has a unique calibration process tailored to its design and function to improve data accuracy.
Analytical Balance Calibration
An analytical balance measures mass and requires regular calibration to...
Analytical Balance Calibration
An analytical balance measures mass and requires regular calibration to...
Regression Toward the Mean
Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when researchers try to extrapolate results...
