pylops.signalprocessing.ChirpRadon3D¶
-
class
pylops.signalprocessing.
ChirpRadon3D
(taxis, hyaxis, hxaxis, pmax, engine='numpy', dtype='float64', **kwargs_fftw)[source]¶ 3D Chirp Radon transform
Apply Radon forward (and adjoint) transform using Fast Fourier Transform and Chirp functions to a 3-dimensional array of size \([n_y \times n_x \times n_t]\) (both in forward and adjoint mode).
Note that forward and adjoint are swapped compared to the time-space implementation in
pylops.signalprocessing.Radon3D
and a direct inverse method is also available for this implementation.Parameters: - taxis :
np.ndarray
Time axis
- hxaxis :
np.ndarray
Fast patial axis
- hyaxis :
np.ndarray
Slow spatial axis
- pmax :
np.ndarray
Two element array \((p_{y,\text{max}}, p_{x,\text{max}})\) of \(\tan\) of maximum stacking angles in \(y\) and \(x\) directions \((\tan(\alpha_{y,\text{max}}), \tan(\alpha_{x,\text{max}}))\). If one operates in terms of minimum velocity \(c_0\), then \(p_{y,\text{max}}=c_0\,\mathrm{d}y/\mathrm{d}t\) and \(p_{x,\text{max}}=c_0\,\mathrm{d}x/\mathrm{d}t\)
- engine :
str
, optional Engine used for fft computation (
numpy
orfftw
)- dtype :
str
, optional Type of elements in input array.
- **kwargs_fftw
Arbitrary keyword arguments for
pyfftw.FTTW
(reccomended:flags=('FFTW_ESTIMATE', ), threads=NTHREADS
)
Notes
Refer to [1] for the theoretical and implementation details.
[1] Andersson, F and Robertsson J. “Fast \(\tau-p\) transforms by chirp modulation”, Geophysics, vol 84, NO.1, pp. A13-A17, 2019. Attributes: Methods
__init__
(taxis, hyaxis, hxaxis, pmax[, …])Initialize this LinearOperator. adjoint
()Hermitian adjoint. apply_columns
(cols)Apply subset of columns of operator cond
([uselobpcg])Condition number of linear operator. conj
()Complex conjugate operator div
(y[, niter])Solve the linear problem \(\mathbf{y}=\mathbf{A}\mathbf{x}\). dot
(x)Matrix-matrix or matrix-vector multiplication. eigs
([neigs, symmetric, niter, uselobpcg])Most significant eigenvalues of linear operator. inverse
(x)matmat
(X)Matrix-matrix multiplication. matvec
(x)Matrix-vector multiplication. rmatmat
(X)Matrix-matrix multiplication. rmatvec
(x)Adjoint matrix-vector multiplication. todense
([backend])Return dense matrix. toimag
([forw, adj])Imag operator toreal
([forw, adj])Real operator tosparse
()Return sparse matrix. trace
([neval, method, backend])Trace of linear operator. transpose
()Transpose this linear operator. - taxis :