Denoising Aerial Gamma-Ray Survey Data With Non-Linear Dimensionality Reduction

Abstract

Denoising aerial gamma-ray surveying makes possible the extraction of previously hidden detail. Conventional methods for denoising spectral data make strong assumptions about the levels and type of noise which reduces their efficiency. The proposed methodology cast the problem as manifold learning followed by non-linear regression. Non-linear dimensionality reduction (NLDR) is employed to compute the underlying structure of the data. By calculating the intrinsic dimensionality of the spectra, the algorithm selects dimensions that are more representative of the data while eliminating dimensions with noise. The most representative dimensions are employed to learn a mixture of linear models through Expectation Maximization. Non-linear regression is then performed using these mixtures to recover the denoised spectra from the low dimensional representation. Thus, the model makes no assumptions about the level and type of noise.