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Getting started:

  • 🖥️ Installation
  • 🎮 GPU / TPU Support
  • 🔗 Extensions
  • 📚 Tutorials
    • 01. The LinearOperator
    • 02. The Dot-Test
    • 03. Solvers
    • 03. Solvers (Advanced)
    • 04. Bayesian Inversion
    • 05. Image deblurring
    • 06. 2D Interpolation
    • 07. Post-stack inversion
    • 08. Pre-stack (AVO) inversion
    • 09. Multi-Dimensional Deconvolution
    • 10. Marchenko redatuming by inversion
    • 11. Radon filtering
    • 12. Seismic regularization
    • 13. Deghosting
    • 14. Seismic wavefield decomposition
    • 15. Least-squares migration
    • 16. CT Scan Imaging
    • 17. Real/Complex Inversion
    • 18. Deblending
    • 19. Image Domain Least-squares migration
    • 20. Torch Operator
    • 21. JAX Operator
    • 22. Time-shift estimation
  • 🖼 Gallery
    • 1D Smoothing
    • 1D, 2D and 3D Sliding
    • 2D Smoothing
    • 3D Smoothing
    • AVO modelling
    • Acoustic Wave Equation modelling
    • Bayesian Linear Regression
    • Bilinear Interpolation
    • Blending
    • CGLS and LSQR Solvers
    • Causal Integration
    • Chirp Radon Transform
    • Conj
    • Convolution
    • Derivatives
    • Describe
    • Diagonal
    • Discrete Cosine Transform
    • Flip along an axis
    • Fourier Radon Transform
    • Fourier Transform
    • Identity
    • Imag
    • L1-L1 IRLS
    • Linear Regression
    • MP, OMP, ISTA and FISTA
    • MRI modelling
    • Matrix Multiplication
    • Multi-Dimensional Convolution
    • Non-stationary Convolution
    • Non-stationary Filter Estimation
    • Normal Moveout (NMO) Correction
    • Operators concatenation
    • Operators with Multithreading/Multiprocessing
    • PWD-based slope estimation and structural smoothing
    • Padding
    • Patching
    • PhaseShift operator
    • Polynomial Regression
    • Pre-stack modelling
    • Radon Transform
    • Real
    • Restriction and Interpolation
    • Roll
    • Seislet transform
    • Shift
    • Slope estimation via Structure Tensor algorithm
    • Spread How-to
    • Sum
    • Symmetrize
    • Synthetic seismic
    • Tapers
    • Total Variation (TV) Regularization
    • Transpose
    • Wavelet estimation
    • Wavelet transform
    • Wavelets
    • Zero
  • ❓ Frequenty Asked Questions

Reference documentation:

  • 🔧 PyLops API
    • pylops.LinearOperator
    • pylops.FunctionOperator
    • pylops.MemoizeOperator
    • pylops.PyTensorOperator
    • pylops.TorchOperator
    • pylops.JaxOperator
    • pylops.MatrixMult
    • pylops.Identity
    • pylops.Zero
    • pylops.Diagonal
    • pylops.Transpose
    • pylops.Flip
    • pylops.Roll
    • pylops.Pad
    • pylops.Sum
    • pylops.Symmetrize
    • pylops.Restriction
    • pylops.Regression
    • pylops.LinearRegression
    • pylops.CausalIntegration
    • pylops.Spread
    • pylops.VStack
    • pylops.HStack
    • pylops.Block
    • pylops.BlockDiag
    • pylops.Kronecker
    • pylops.Real
    • pylops.Imag
    • pylops.Conj
    • pylops.ToCupy
    • pylops.Smoothing1D
    • pylops.Smoothing2D
    • pylops.SmoothingND
    • pylops.FirstDerivative
    • pylops.SecondDerivative
    • pylops.Laplacian
    • pylops.Gradient
    • pylops.FirstDirectionalDerivative
    • pylops.SecondDirectionalDerivative
    • pylops.signalprocessing.Convolve1D
    • pylops.signalprocessing.Convolve2D
    • pylops.signalprocessing.ConvolveND
    • pylops.signalprocessing.NonStationaryConvolve1D
    • pylops.signalprocessing.NonStationaryConvolve2D
    • pylops.signalprocessing.NonStationaryConvolve3D
    • pylops.signalprocessing.NonStationaryFilters1D
    • pylops.signalprocessing.NonStationaryFilters2D
    • pylops.signalprocessing.Interp
    • pylops.signalprocessing.InterpCubicSpline
    • pylops.signalprocessing.Bilinear
    • pylops.signalprocessing.FFT
    • pylops.signalprocessing.FFT2D
    • pylops.signalprocessing.FFTND
    • pylops.signalprocessing.Shift
    • pylops.signalprocessing.DWT
    • pylops.signalprocessing.DWT2D
    • pylops.signalprocessing.DWTND
    • pylops.signalprocessing.DCT
    • pylops.signalprocessing.DTCWT
    • pylops.signalprocessing.Seislet
    • pylops.signalprocessing.Radon2D
    • pylops.signalprocessing.Radon3D
    • pylops.signalprocessing.FourierRadon2D
    • pylops.signalprocessing.FourierRadon3D
    • pylops.signalprocessing.ChirpRadon2D
    • pylops.signalprocessing.ChirpRadon3D
    • pylops.signalprocessing.PWSprayer2D
    • pylops.signalprocessing.PWSmoother2D
    • pylops.signalprocessing.Sliding1D
    • pylops.signalprocessing.Sliding2D
    • pylops.signalprocessing.Sliding3D
    • pylops.signalprocessing.Patch2D
    • pylops.signalprocessing.Patch3D
    • pylops.signalprocessing.Fredholm1
    • pylops.waveeqprocessing.PressureToVelocity
    • pylops.waveeqprocessing.UpDownComposition2D
    • pylops.waveeqprocessing.UpDownComposition3D
    • pylops.waveeqprocessing.BlendingContinuous
    • pylops.waveeqprocessing.BlendingGroup
    • pylops.waveeqprocessing.BlendingHalf
    • pylops.waveeqprocessing.MDC
    • pylops.waveeqprocessing.PhaseShift
    • pylops.waveeqprocessing.Kirchhoff
    • pylops.waveeqprocessing.AcousticWave2D
    • pylops.avo.avo.AVOLinearModelling
    • pylops.avo.poststack.PoststackLinearModelling
    • pylops.avo.prestack.PrestackLinearModelling
    • pylops.avo.prestack.PrestackWaveletModelling
    • pylops.medical.CT2D
    • pylops.medical.MRI2D
    • pylops.optimization.basesolver.Solver
    • pylops.optimization.cls_basic.CG
    • pylops.optimization.cls_basic.CGLS
    • pylops.optimization.cls_basic.LSQR
    • pylops.optimization.basic.cg
    • pylops.optimization.basic.cgls
    • pylops.optimization.basic.lsqr
    • pylops.optimization.cls_leastsquares.NormalEquationsInversion
    • pylops.optimization.cls_leastsquares.RegularizedInversion
    • pylops.optimization.cls_leastsquares.PreconditionedInversion
    • pylops.optimization.leastsquares.normal_equations_inversion
    • pylops.optimization.leastsquares.regularized_inversion
    • pylops.optimization.leastsquares.preconditioned_inversion
    • pylops.optimization.cls_sparsity.IRLS
    • pylops.optimization.cls_sparsity.OMP
    • pylops.optimization.cls_sparsity.ISTA
    • pylops.optimization.cls_sparsity.FISTA
    • pylops.optimization.cls_sparsity.SPGL1
    • pylops.optimization.cls_sparsity.SplitBregman
    • pylops.optimization.sparsity.irls
    • pylops.optimization.sparsity.omp
    • pylops.optimization.sparsity.ista
    • pylops.optimization.sparsity.fista
    • pylops.optimization.sparsity.spgl1
    • pylops.optimization.sparsity.splitbregman
    • pylops.optimization.callback.Callbacks
    • pylops.optimization.callback.CostNanInfCallback
    • pylops.optimization.callback.CostToDataCallback
    • pylops.optimization.callback.CostToInitialCallback
    • pylops.optimization.callback.MetricsCallback
    • pylops.waveeqprocessing.SeismicInterpolation
    • pylops.waveeqprocessing.Deghosting
    • pylops.waveeqprocessing.WavefieldDecomposition
    • pylops.waveeqprocessing.MDD
    • pylops.waveeqprocessing.Marchenko
    • pylops.waveeqprocessing.LSM
    • pylops.avo.poststack.PoststackInversion
    • pylops.avo.prestack.PrestackInversion
  • 🔩 PyLops Utilities
    • pylops.utils.dottest
    • pylops.utils.decorators.add_ndarray_support_to_solver
    • pylops.utils.decorators.disable_ndarray_multiplication
    • pylops.utils.decorators.reshaped
    • pylops.utils.describe.describe
    • pylops.utils.estimators.trace_hutchinson
    • pylops.utils.estimators.trace_hutchpp
    • pylops.utils.estimators.trace_nahutchpp
    • pylops.utils.metrics.mae
    • pylops.utils.metrics.mse
    • pylops.utils.metrics.snr
    • pylops.utils.metrics.psnr
    • pylops.avo.avo.zoeppritz_scattering
    • pylops.avo.avo.zoeppritz_element
    • pylops.avo.avo.zoeppritz_pp
    • pylops.avo.avo.approx_zoeppritz_pp
    • pylops.avo.avo.akirichards
    • pylops.avo.avo.fatti
    • pylops.avo.avo.ps
    • pylops.utils.scalability_test
    • pylops.signalprocessing.sliding1d.sliding1d_design
    • pylops.signalprocessing.sliding2d.sliding2d_design
    • pylops.signalprocessing.sliding3d.sliding3d_design
    • pylops.signalprocessing.patch2d.patch2d_design
    • pylops.signalprocessing.patch3d.patch3d_design
    • pylops.utils.seismicevents.makeaxis
    • pylops.utils.seismicevents.linear2d
    • pylops.utils.seismicevents.parabolic2d
    • pylops.utils.seismicevents.hyperbolic2d
    • pylops.utils.seismicevents.linear3d
    • pylops.utils.seismicevents.parabolic3d
    • pylops.utils.seismicevents.hyperbolic3d
    • pylops.waveeqprocessing.marchenko.directwave
    • pylops.utils.signalprocessing.convmtx
    • pylops.utils.signalprocessing.nonstationary_convmtx
    • pylops.utils.signalprocessing.dip_estimate
    • pylops.utils.signalprocessing.slope_estimate
    • pylops.utils.signalprocessing.pwd_slope_estimate
    • pylops.utils.tapers.taper2d
    • pylops.utils.tapers.taper3d
    • pylops.utils.tapers.tapernd
    • pylops.utils.wavelets.gaussian
    • pylops.utils.wavelets.klauder
    • pylops.utils.wavelets.ormsby
    • pylops.utils.wavelets.ricker

Getting involved:

  • 🖌️ Implementing new operators
  • 🔥 Implementing new solvers
  • ❤️ Contributing
  • 🗞 Changelog
  • 🔖 Papers using PyLops
  • ✏️ How to cite
  • 🧑‍🤝‍🧑 Contributors
  1. PyLops /
  2. 🖼 Gallery

🖼 Gallery¶

Below is a gallery of examples which use PyLops operators and utilities.

1D Smoothing

1D Smoothing

1D, 2D and 3D Sliding

1D, 2D and 3D Sliding

2D Smoothing

2D Smoothing

3D Smoothing

3D Smoothing

AVO modelling

AVO modelling

Acoustic Wave Equation modelling

Acoustic Wave Equation modelling

Bayesian Linear Regression

Bayesian Linear Regression

Bilinear Interpolation

Bilinear Interpolation

Blending

Blending

CGLS and LSQR Solvers

CGLS and LSQR Solvers

Causal Integration

Causal Integration

Chirp Radon Transform

Chirp Radon Transform

Conj

Conj

Convolution

Convolution

Derivatives

Derivatives

Describe

Describe

Diagonal

Diagonal

Discrete Cosine Transform

Discrete Cosine Transform

Flip along an axis

Flip along an axis

Fourier Radon Transform

Fourier Radon Transform

Fourier Transform

Fourier Transform

Identity

Identity

Imag

Imag

L1-L1 IRLS

L1-L1 IRLS

Linear Regression

Linear Regression

MP, OMP, ISTA and FISTA

MP, OMP, ISTA and FISTA

MRI modelling

MRI modelling

Matrix Multiplication

Matrix Multiplication

Multi-Dimensional Convolution

Multi-Dimensional Convolution

Non-stationary Convolution

Non-stationary Convolution

Non-stationary Filter Estimation

Non-stationary Filter Estimation

Normal Moveout (NMO) Correction

Normal Moveout (NMO) Correction

Operators concatenation

Operators concatenation

Operators with Multithreading/Multiprocessing

Operators with Multithreading/Multiprocessing

PWD-based slope estimation and structural smoothing

PWD-based slope estimation and structural smoothing

Padding

Padding

Patching

Patching

PhaseShift operator

PhaseShift operator

Polynomial Regression

Polynomial Regression

Pre-stack modelling

Pre-stack modelling

Radon Transform

Radon Transform

Real

Real

Restriction and Interpolation

Restriction and Interpolation

Roll

Roll

Seislet transform

Seislet transform

Shift

Shift

Slope estimation via Structure Tensor algorithm

Slope estimation via Structure Tensor algorithm

Spread How-to

Spread How-to

Sum

Sum

Symmetrize

Symmetrize

Synthetic seismic

Synthetic seismic

Tapers

Tapers

Total Variation (TV) Regularization

Total Variation (TV) Regularization

Transpose

Transpose

Wavelet estimation

Wavelet estimation

Wavelet transform

Wavelet transform

Wavelets

Wavelets

Zero

Zero

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