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BUILT-IN MATHEMATICA SYMBOL
GaborMatrix
GaborMatrix[r, k]
gives a matrix that corresponds to the real part of a Gabor kernel of radius r and wave vector k.
GaborMatrix[r, k, 
]
uses phase shift .
GaborMatrix[{r, 
}, ...]
uses the specified standard deviation .
GaborMatrix[{{r1, r2, ...}}, ...]
gives an array corresponding to a Gabor kernel with radius 
in the i
index direction.
Details and Options
- GaborMatrix[{r, }, k, ] gives values proportional to
at index position 
from the center. - GaborMatrix[r, k] is equivalent to GaborMatrix[{r, r/2}, k, 0].
- By default, the matrix is rescaled so that the elements of Abs[GaborMatrix[r, k, 0]+I GaborMatrix[r, k,
/2]] sum to 1. - For integer r, GaborMatrix[r, ...] yields a
×
matrix. - For non-integer r, the value of r is effectively rounded to an integer.
- GaborMatrix allows any of r and to be lists, specifying different values for different directions.
- With GaborMatrix[{r, {1, 2, ...}}, k],
is the standard deviation along k, and 
, ... are standard deviations perpendicular to k. The i
direction is defined by the i
column of RotationMatrix[{{1, 0, ...}, k}]. - For data arrays with n dimensions and a wave vector
, 
is pointing in the same direction as the i
dimension of data. For images, the filter is effectively applied to ImageData[image]. - Options for GaborMatrix include:
-
WorkingPrecision Automatic the precision with which to compute matrix elements "Standardization" True whether to rescale the matrix to account for truncation
