pylops.Laplacian¶
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pylops.Laplacian(dims, dirs=(0, 1), weights=(1, 1), sampling=(1, 1), edge=False, dtype='float64')[source]¶ Laplacian.
Apply second-order centered Laplacian operator to a multi-dimensional array (at least 2 dimensions are required)
Parameters: - dims :
tuple Number of samples for each dimension.
- dirs :
tuple, optional Directions along which laplacian is applied.
- weights :
tuple, optional Weight to apply to each direction (real laplacian operator if
weights=[1,1])- sampling :
tuple, optional Sampling steps for each direction
- edge :
bool, optional Use reduced order derivative at edges (
True) or ignore them (False)- dtype :
str, optional Type of elements in input array.
Returns: - l2op :
pylops.LinearOperator Laplacian linear operator
Notes
The Laplacian operator applies a second derivative along two directions of a multi-dimensional array.
For simplicity, given a two dimensional array, the Laplacian is:
\[y[i, j] = (x[i+1, j] + x[i-1, j] + x[i, j-1] +x[i, j+1] - 4x[i, j]) / (dx*dy)\]- dims :
