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General Self-Correction Algorithm for Nonlinear Errors Based on the Real-Time Generative Look-Up-Table
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DOI：10.1109/TIM.2024.3480238.png)
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Abstract
En 中文
Nonlinear errors, caused by the gamma effect, are very common in a certain fringe projection system. Therefore, we propose a general self-correction algorithm to address this problem even in severe cases. First, the Nelder-Mead algorithm is employed to detect the system gamma value by optimizing a probability-density-function (pdf) related objective function. Second, a look-up table (LUT) will be generated in situ based on the detected result to perform compensation. This real-time generative LUT (RG-LUT) allows for a self-correction process because there are no precalibration or inverse function procedures. The Nelder-Mead algorithm not only reduces computational time initially but also expedites the search process again when the gamma value varies over time. Moreover, the processing can be further accelerated by a pregenerative strategy for the LUT sequence. Experimental results demonstrate that the proposed self-correction algorithm can improve the accuracy by a factor of 9 under severe nonlinear errors.
Keywords:
Harmonic analysis
Table lookup
Mathematical models
Linear programming
Real-time systems
Probability density function
Correlation coefficient
Iterative methods
Calibration
Nonlinear distortion
3-D measurement
look-up table (LUT)
Nelder-Mead algorithm
nonlinear error
probability density function (pdf)
Journal
IF:
5.9
Papers:
1.9W
Citations:
5.8W