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5D interpolation and regular upsampling: ill-suited or fit-for- purpose?

Mike Perz, +1 more
TLDR
The theory is reconciled to the reality by showing that 5DMWNI may be used to successfully perform regular upsampling under certain restrictive conditions.
Abstract
5D minimum weighted norm interpolation (MWNI) is not suited for regular data upsampling according to a well-documented theoretical argument. However the reality is that 5DMWNI is often used successfully for this very task. We attempt to reconcile the theory to this paradoxical observation by showing that 5DMWNI may be used to successfully perform regular upsampling under certain restrictive conditions.

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References
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Journal ArticleDOI

Seismic data interpolation and denoising in the frequency-wavenumber domain

TL;DR: In this article, a unified approach for denoising and interpolation of seismic data in the frequency-wavenumber (f-k) domain is proposed, which can be used to interpolate regularly sampled data as well as randomly sampled data on a regular grid.
Journal ArticleDOI

Convergence improvement and noise attenuation considerations for beyond alias projection onto convex sets reconstruction

TL;DR: In this article, a masking operator based on a dominant dip scanning method is introduced to solve the problem of irregularly missing data interpolation in the POCS reconstruction process, which alleviates the influence of noisy traces in the final reconstruction of the seismic volume.
Journal ArticleDOI

On sampling functions and Fourier reconstruction methods

TL;DR: In this article, a regular acquisition grid that minimizes the mixing between the unknown spectrum of the well-sampled signal and aliasing artifacts is proposed to recover 2D signals that are band-limited in one spatial dimension.

Merging Surveys with Multidimensional Interpolation

TL;DR: In this article, the authors extended existing methodologies to complete a simultaneous interpolation in five dimensions: offset, azimuth, inline, crossline and frequency, which could be seamlessly added to the prestack merge, giving the interpreters a valuable new perspective on the asset.
Proceedings ArticleDOI

The Effect of Input Data Sampling On Prestack Interpolation Efficacy: Lessons Learned From a Sparsely Shot And Heavily Structured 3D Data Set

TL;DR: Systematic real data testing reveals that cascading the two different interpolation methods gives good results which provide a combination of regular upsampling along the crossline midpoint coordinate and gap-filling along certain shot and receiver lines which were truncated in the field because of the rugged terrain.
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