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^(th) index direction.

Details and OptionsDetails 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^(th) direction is defined by the i^(th) 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^(th) dimension of data. For images, the filter is effectively applied to ImageData[image].
  • Options for GaborMatrix include:
  • WorkingPrecisionAutomaticthe precision with which to compute matrix elements
    "Standardization"Truewhether to rescale the matrix to account for truncation
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