The redundant wavelet transform to process and interpret GPR data

To analyze ground-penetrating radar (GPR) data, we propose a multi-scale decomposition approach based on a redundant wavelet transform (RWT). Our RWT is based on B3-spline filters and the à trous algorithm, which allows to efficiently decompose 1D, 2D, and 3D data with a series of 1D convolutions. Using different examples, we demonstrate potential applications of this approach for data processing and interpretation. Our results show that the RWT is a powerful and computationally efficient tool to improve GPR data analysis.