A novel signal reconstruction method with sharp feature preservation

Saikun Gu; Shuyu Zhang; Wei Chen

doi:10.1117/12.2685920

28 July 2023 A novel signal reconstruction method with sharp feature preservation

Saikun Gu, Shuyu Zhang, Wei Chen

Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 127562F (2023) https://doi.org/10.1117/12.2685920
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China

Abstract

Aiming at the fact that traditional signal reconstruction method based on traditional methods such as Fourier and wavelets transformations cannot preserve the sharp features in the original data well, a signal reconstruction method is proposed in this paper based on a class of orthogonal piecewise polynomial function system—named as V-system. Firstly, different types of feature points of the original data are obtained through the feature extraction algorithm; secondly, the feature points are reparametrized to the locations of different knots in the V-system; finally, the fitted signal is obtained by solving the least-squares linear equations with constrains. Because the V-system has basis functions with different smoothness, the reconstructed signal can capture different features in the original data. Numerical experimental results show that the proposed method in this paper not only obtains a reconstructed signal reflecting the global shape of the original data, but also can accurately reproduce sharp features.

Citation Download Citation

Saikun Gu, Shuyu Zhang, and Wei Chen "A novel signal reconstruction method with sharp feature preservation", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 127562F (28 July 2023); https://doi.org/10.1117/12.2685920

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