Function WAVELET_3D_PYRAMID

Package

Short description

Usage

   [y_Phi, y_Psi, meta_Phi, meta_Psi] = wavelet_3d_pyramid(y, filters, filters_rot, options)

Input

   y (numeric): a 3d matrix whose first two dimension corresponds to spatial
       postion and third dimension corresponds to orientation.
   filters (struct): a 2d pyramid filter bank (applied along spatial variable)
   filters_rot (struct): a 1d filter bank (applied along orientation)
   options (struct): containing the following optional fields 
       x_resolution (int): the log of spatial resolution
       psi_mask (bool array): a mask for determining which filter to apply
       oversampling (int): the log of spatial oversampling
       oversampling_rot (int): the log of orientation oversampling

Output

   y_Phi (numeric): the roto-translation convolution y * Phi
   y_Psi (cell): containing all the roto-translation convolution y * Psi
   meta_phi (struct): meta associated to y_Phi
   meta_psi (struct): meta associated to y_Psi

Description

   This is a pyramid implementation of the roto-translation wavelet
   transform. Another (slower, FFT-based) implementation is available as
   WAVELET_3D.
	This function computes the roto-translation convolution of a three dimensional
	signal y, with roto-translation wavelets defined as the separable product
	low pass :
		PHI(U,V) * PHI(THETA)
	high pass :
		PHI(U,V) * PHI(THETA)
		PSI(U,V) * PHI(THETA)
		PSI(U,V) * PSI(THETA)
 Reference
	Rotation, Scaling and Deformation Invariant Scattering for Texture
	Discrimination, Laurent Sifre, Stephane Mallat
	Proc of CVPR 2013

See also

• wavelet_layer_3d
• wavelet_factory_3d
• []
• []
• []