ABSTRACT

The quaternion Fourier transform is used to obtain a Fourier domain representation of a multicomponent seismic record. Projection Onto Convex Sets (POCS) is used as a means to reconstruct all three components at once. The results of this process are compared with standard component-by-component reconstruction. The algorithm is applied to 2D and 3D 3C synthetic data but it could be easily extended to a higher number of dimensions and components.

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