Extracting function relation from less than ideal digital curve

Shuyu Gu; Wushen Chen; Zirui Wang; Yaqian Luo

doi:10.1117/12.2680999

8 June 2023 Extracting function relation from less than ideal digital curve

Shuyu Gu, Wushen Chen, Zirui Wang, Yaqian Luo

Proceedings Volume 12707, International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023); 127070H (2023) https://doi.org/10.1117/12.2680999
Event: International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023), 2023, Changsha, China

Abstract

There are a lot of difficulties in the process of extracting function relationship from hard copy curve. Considering factors such as distortion, chromatic aberration, noise pollution and etc., a dense set of calibrated points near the real curve from the digitized image can be extracted out. Based on the fact that the function relationship corresponding to the curve can be expressed in the form of segmented Hermite polynomial function, a least squares model with outlier elimination strategy is presented, which can be solved to obtain the function parameters corresponding to the curve by iterative method. The simulation analysis shows that the difference between the obtained fitting function and the original function is positively related to the effective resolution of the digital image, and the algorithm provided in this paper is of high practical value.

Citation Download Citation

Shuyu Gu, Wushen Chen, Zirui Wang, and Yaqian Luo "Extracting function relation from less than ideal digital curve", Proc. SPIE 12707, International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023), 127070H (8 June 2023); https://doi.org/10.1117/12.2680999

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