Interpolation of potential-field data by Projection Onto Convex Sets algorithm with generalized exponential threshold and based on Discrete Cosine Transform

AI Han-Bing; WANG Yan-Guo

doi:10.11720/wtyht.2021.0292

2021 Vol. 45, No. 6

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AI Han-Bing, WANG Yan-Guo. 2021. Interpolation of potential-field data by Projection Onto Convex Sets algorithm with generalized exponential threshold and based on Discrete Cosine Transform. Geophysical and Geochemical Exploration, 45(6): 1559-1568. doi: 10.11720/wtyht.2021.0292

Citation:

AI Han-Bing, WANG Yan-Guo. 2021. Interpolation of potential-field data by Projection Onto Convex Sets algorithm with generalized exponential threshold and based on Discrete Cosine Transform. Geophysical and Geochemical Exploration, 45(6): 1559-1568. doi: 10.11720/wtyht.2021.0292

Interpolation of potential-field data by Projection Onto Convex Sets algorithm with generalized exponential threshold and based on Discrete Cosine Transform

School of Geophysical and Measurement-Control Technology, East China University of Technology,Nanchang 330013, China

Received Date: 04 January 2021

Revised Date: 20 December 2021

Publish Date: 21 December 2021

Abstract

Abstract

Data filling or interpolation is a fundamental and vital problem of potential-field data processing. Some data cannot be measured when some places are unable to reach, such as rivers, or cliffs. If we want to acquire the missing data for better subsequent processing, we need to interpolate or fill in the missing data. Hence, this article introduces the Discrete Cosine Transform (DCT) method into the Projection Onto Convex Sets (POCS) algorithm to tackle this problem, and a generalized exponential threshold attenuation method is also given. Finally, model tests and practical applications show that the POCS algorithm with generalized exponential threshold and based on DCT has the advantages of high accuracy, small filling or interpolating traces and the noise standard of the filled data are closer to real situation.
- data filling or interpolation /
- DCT /
- POCS /
- generalized threshold model

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References

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