| allpass_filter_band | Applies a 1D allpass filter to the specified wavelet subband (with
circular boundary extension)
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| build_dst2d | Build a 2D shearlet transform
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| build_dtcwt | Construct a 2D DT-CWT transform
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| build_dwt | Constructs a 2D decimated wavelet transform
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| build_energyweighted_dst2d | Builds an energy-weighted (non-Parseval) 2D shearlet transform
(in which the variance of white noise is preserved in the subbands)
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| build_stp | Builds a steerable pyramid transform
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| build_udwt | Constructs a 2D undecimated wavelet transform
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| dst.q | Implementation of the discrete shearlet transform, according to our
LNLA 2009 Paper:
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| dtcwt.q | Computation of 1D and 2D discrete Dual-Tree complex wavelet transforms.
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| dtcwt_fracshifting_response | Calculates the impulse response of a fractional delay allpass filter
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| dtcwt_fswavelet | Computation of first scale wavelets for the dual-tree complex
wavelet transform
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| dtcwt2d | Performs a dual-tree complex wavelet transform
: function bands = dtcwt2d(x, w1, w2, J)
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| dtcwt2d_fulloriented | Dual-tree complex wavelet transform with improved directional selectivity
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| dtcwt3d_untiled | Untiled version of the 3D DTCWT.
Note: the phase modulation is currently only done in 2 dimensions!
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| dwt.q | Computation of 1D and 2D discrete wavelet transforms
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| dwt1d | Computes the 1D DWT along the rows of the input matrix x
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| dwt2d | Computes the 2D DWT.
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| dwt2d_untiled | Untiled inplace version of the
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| dwt3d | Computes the 3D DWT.
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| dwt3d_untiled | Untiled inplace version of the
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| idtcwt2d | Performs the backward dual-tree complex wavelet transform
: function y = idtcwt2d(bands, w1, w2, J)
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| idtcwt2d_fulloriented | Inverse dual-tree complex wavelet transform with improved directional selectivity
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| idtcwt3d_untiled | Untiled version of the 3D DTCWT
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| idwt1d | Computes the inverse 1D DWT.
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| idwt1d_inplace | Computes an inplace inverse 1D DWT.
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| idwt2d | Computes the inverse 2D DWT.
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| idwt2d_untiled | Untiled inplace version of the
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| idwt3d | Computes the inverse 3D DWT.
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| idwt3d_untiled | Untiled inplace version of the
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| ipdwt2d_untiled | Untiled inplace version of the 2d inverse wavelet packet transform
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| ipyramid_fft | Pyramid reconstruction in FFT domain
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| iudwt1d_dim0 | Computes the inverse undecimated 1D wavelet transform along the columns of the
input matrix
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| iudwt1d_dim1 | Computes the inverse undecimated 1D wavelet transform along the rows of the
input matrix
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| iudwt2d | Calculates an inverse undecimated 2D wavelet transform
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| lincell | Linearize a cell array, i.e. convert nested cell arrays
to one 1D cell array.
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| meyer_radial_wavelet_filters | Computes Meyer radial wavelet filters used in the implementation
of the discrete shearlet transform.
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| multirestransforms.q | This library contains several multiresolution transforms, and allows
image processing algorithms to use the same interface to each of these
transforms. This has the benefit that transforms can easily be
changed/combined. The technique is always the same: first "build" your
transform, as follows
: [W, W_T] = build_XXXX(parameters)
where
W - the forward transformation function
W_T - the backward transformation function
For orthogonal transforms, we have that W * W_T = I or, equivalently that
W = transpose(W_T).
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| orthogonal_wavelet | Computes filter coefficients for an orthogonal wavelet
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| pdtcwt | Performs a packet dual-tree complex wavelet transform
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| pdwt2d_untiled | Untiled inplace version of the 2d wavelet packet transform
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| pidtcwt | Computes the inverse packet dual-tree complex wavelet transform
: function y = pidtcwt(b, w1, w2, J, cplx=1)
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| pseudo_polargrid | Constructs of a pseudo-polar grid
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| pyramid_fft | Pyramid decomposition in FFT domain
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| radial_wavelet_filters | Computes shearlet radial filters based on compactly supported
wavelets. The function calculates the DTFT of the filters in order
to obtain the frequency response, which is transformed to 2D using
the pseudopolar grid.
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| shearlet_analysis | Computes the discrete shearlet transform
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| shearlet_compute_energy_per_subband | Computes the energy per subband, useful for subband normalization.
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| shearlet_synthesis | Computes the inverse discrete shearlet transform
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| steerable_pyramid_analysis | Steerable pyramid transform - analysis
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| steerable_pyramid_synthesis | steerable pyramid transform - synthesis
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| subsample_fft | Computes a subsampling operation in FFT domain
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| udwt1d_dim0 | Calculates a 1D undecimated wavelet transform (along the
columns of the input matrix)
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| udwt1d_dim1 | Calculates a 1D undecimated wavelet transform (along the
rows of the input matrix)
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| udwt2d | Calculates the undecimated 2D wavelet transform of an input image
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| upsample_fft | Computes an upsampling operation in FFT domain
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| wedge_filter | Computes shearlet wedge filters
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| wedge_filter_set | Computes shearlet wedge filter for different scales. Used when the number of
orientations depends on the scale
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