- % Main documented lifting functions
- % addlift - Adding primal or dual lifting steps.
- % bswfun - Biorthogonal scaling and wavelet functions.
- % displs - Display lifting scheme.
- % filt2ls - Filters to lifting scheme.
- % ilwt - Inverse 1-D lifting wavelet transform.
- % ilwt2 - Inverse 2-D lifting wavelet transform.
- % liftfilt - Apply elementary lifting steps on filters.
- % liftwave - Lifting scheme for usual wavelets.
- % lsinfo - Information about lifting schemes.
- % lwt - Lifting wavelet decomposition 1-D.
- % lwt2 - Lifting wavelet decomposition 2-D.
- % lwtcoef - Extract or reconstruct 1-D LWT wavelet coefficients.
- % lwtcoef2 - Extract or reconstruct 2-D LWT wavelet coefficients.
- % wave2lp - Laurent polynomial associated to a wavelet.
- % wavenames - Wavelet names information.
- %
- % Laurent Polynomial [OBJECT in @laurpoly directory]
- % laurpoly - Constructor for the class LAURPOLY (Laurent Polynomial).
- %
- % Laurent Matrix [OBJECT in @laurmat directory]
- % laurmat - Constructor for the class LAURMAT (Laurent Matrix).
- %
- % Demonstrations.
- % demolift - Demonstrates Lifting functions in the Wavelet Toolbox.
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- % Full description of Lifting Directories %
- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- %
- % Lifting directory (Main).
- %==========================
- % readmeLIFT - SOME COMMENTS about LIFTING FUNCTIONALITIES
- % Contents - Contents for Wavelet Toolbox Lifting Tools.
- % demolift - Demonstrates Lifting functions in the Wavelet Toolbox.
- %---+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--%
- % addlift - Adding primal or dual lifting steps.
- % apmf2ls - Analyzis polyphase matrix factorization to lifting scheme.
- % biorlift - Biorthogonal spline lifting schemes.
- % bswfun - Biorthogonal scaling and wavelet functions.
- % cdflift - Cohen-Daubechies-Feauveau lifting schemes.
- % coiflift - Coiflets lifting schemes.
- % dblift - Daubechies lifting schemes.
- % displmf - Display a Laurent matrices factorization.
- % displs - Display lifting scheme.
- % errlsdec - Errors for lifting scheme decompositions.
- % fact_and_ls - Factorizations and lifting schemes for wavelets.
- % filt2ls - Filters to lifting scheme.
- % filters2lp - Filters to Laurent polynomials.
- % hlwt - Haar (Integer) Wavelet decomposition 1-D using lifting. # UD #
- % hlwt2 - Haar (Integer) Wavelet decomposition 2-D using lifting. # UD #
- % ihlwt - Haar (Integer) Wavelet reconstruction 1-D using lifting. # UD #
- % ihlwt2 - Haar (Integer) Wavelet reconstruction 2-D using lifting. # UD #
- % ilwt - Inverse 1-D lifted wavelet transform.
- % ilwt2 - Inverse 2-D lifted wavelet transform.
- % inp2sq - In Place to "square" storage of coefficients.
- % isbiorw - True for a biorthogonal wavelet.
- % isorthw - True for an orthogonal wavelet.
- % liftfilt - Apply elementary lifting steps on filters.
- % liftwave - Lifting scheme for usual wavelets.
- % ls2apmf - Lifting scheme to analyzis polyphase matrix factorization.
- % ls2filt - Lifting scheme to filters.
- % ls2filters - Lifting scheme to filters.
- % ls2lp - Lifting scheme to Laurent polynomials.
- % ls2pmf - Lifting scheme(s) to polyphase matrix factorization(s).
- % lsdual - Dual lifting scheme.
- % lsinfo - Information about lifting schemes.
- % lsupdate - Compute lifting scheme update.
- % lwt - Wavelet decomposition 1-D using lifting.
- % lwt2 - Wavelet decomposition 2-D using lifting.
- % lwtcoef - Extract or reconstruct 1-D LWT wavelet coefficients.
- % lwtcoef2 - Extract or reconstruct 2-D LWT wavelet coefficients.
- % orfilen4 - Orthogonal filters of length 4.
- % pmf2apmf - Polyphase matrix factorization to analyzis polyphase matrix
- % factorization.
- % pmf2ls - Polyphase matrix factorization(s) to lifting scheme(s).
- % symlift - Symlets lifting schemes.
- % show_et - Show table obtained by the Euclidean division algorithm.
- % tablseq - Equality test for lifting schemes.
- % wave2lp - Laurent polynomial associated to a wavelet.
- % wave2ls - Lifting scheme associated to a wavelet.
- % wavenames - Wavelet names information.
- % wavetype - Wavelet type information.
- %
- % Laurent Matrix [OBJECT in @laurmat directory]
- %=========================================
- % ctranspose - Laurent matrix transpose (non-conjugate).
- % det - Laurent matrix determinant.
- % disp - Display a Laurent matrix object as text.
- % display - Display function for LAURMAT objects.
- % eq - Laurent matrix equality test.
- % isequal - True if Laurent matrices are numerically equal.
- % laurmat - Constructor for the class LAURMAT (Laurent Matrix).
- % mftable - Matrix factorization table.
- % minus - Laurent matrix substraction.
- % mtimes - Laurent matrix multiplication.
- % ne - Laurent matrix inequality test.
- % newvar - Change variable in a Laurent matrix.
- % plus - Laurent matrix addition.
- % pm2ls - Polyphase matrix to lifting scheme(s).
- % prod - Product of Laurent matrices.
- % reflect - Reflection for a Laurent matrix.
- % subsasgn - Subscripted assignment for Laurent matrix.
- % subsref - Subscripted reference for Laurent matrix.
- % uminus - Unary minus for Laurent matrix.
- %
- % Laurent Polynomial [OBJECT in @laurpoly directory]
- %=============================================
- % degree - Degree for Laurent polynomial.
- % disp - Display a Laurent polynomial object as text.
- % display - Display function for LAURPOLY objects.
- % dyaddown - Dyadic downsampling for a Laurent polynomial.
- % dyadup - Dyadic upsampling for a Laurent polynomial.
- % eo2lp - Recover a Laurent polynomial from its even and odd parts.
- % eq - Laurent polynomial equality test.
- % eucfacttab - Euclidean factor table for Euclidean division algorithm.
- % euclidediv - Euclidean Algorithm for Laurent polynomials.
- % euclidedivtab - Table obtained by the Euclidean division algorithm.
- % even - Even part of a Laurent polynomial.
- % get - Get LAURPOLY object field contents.
- % horzcat - Horizontal concatenation of Laurent polynomials.
- % inline - Construct an INLINE object associated to a Laurent polynomial.
- % isconst - True for a constant Laurent polynomial.
- % isequal - Laurent polynomials equality test.
- % ismonomial - True for a monomial Laurent polynomial.
- % laurpoly - Constructor for the class LAURPOLY (Laurent Polynomial).
- % lp2filters - Laurent polynomials to filters.
- % lp2ls - Laurent polynomial to lifting schemes.
- % lp2num - Coefficients of a Laurent polynomial object.
- % lpstr - String to display a Laurent polynomial object.
- % makelift - Make an elementary lifting step.
- % minus - Laurent polynomial substraction.
- % mldivide - Laurent polynomial matrix left division.
- % modmat - Modulation matrix associated to two Laurent polynomials.
- % modulate - Modulation for a Laurent polynomial.
- % mpower - Laurent polynomial exponentiation.
- % mrdivide - Laurent polynomial matrix right division.
- % mtimes - Laurent polynomial multiplication.
- % ne - Laurent polynomial inequality test.
- % newvar - Change variable in a Laurent polynomial.
- % odd - Odd part of a Laurent polynomial.
- % plus - Laurent polynomial addition.
- % pnorm - Pseudo-norm for a Laurent polynomial.
- % powers - Powers of a Laurent polynomial.
- % ppm - Polyphase matrix associated to two Laurent polynomials.
- % ppmfact - Polyphase matrix factorizations.
- % praacond - Perfect reconstruction and anti-aliasing conditions.
- % prod - Product of Laurent polynomials.
- % reflect - Reflection for a Laurent polynomial.
- % rescale - Rescale Laurent polynomials.
- % sameswfplot - Same BSWFUN and WAVEFUN plots.
- % uminus - Unary minus for Laurent polynomial.
- % vertcat - Vertical concatenation of Laurent polynomials.
- % wlift - Make elementary lifting steps.
- %
- % @laurpoly/private directory
- %----------------------
- % reduce - Simplification for Laurent polynomial.
- %
- % test directory
- %===============
- % Main directory tests
- % tlwtilwt - Unit test for the function LWT.
- % tlwtilwt2 - Unit test for the function LWT2.
- % tls2filters - Unit test for the function LS2FILTERS.
- % tls2lp - Unit test for the function LS2LP.
- % tpmf2apmf - Unit test for the function PMF2APMF.
- % twave2lp - Unit test for the function WAVE2LP.
- %---+--+--+--+--+--+--+--+--+--+--+--+--+--%
- % Laurent Matrix object (LAURMAT)
- % tlm - Unit test for LAURMAT (constructor in @LAURMAT).
- % tlm_ovr_m - Unit test for LAURMAT object overloaded methods.
- % tlm_own_m - Unit test for LAURMAT object own methods.
- %---+--+--+--+--+--+--+--+--+--+--+--+--+--%
- % Laurent Polynomial object (LAURPOLT)
- % tlp - Unit test for LAURPOLY (constructor in @LAURPOLY).
- % tlp_ovr_m - Unit test for LAURPOLY object overloaded methods.
- % tlp_own_m - Unit test for LAURPOLY object own methods.
- % tlp_wlift - Unit test for WLIFT.
- %
- %========================================================================%
- % UNDER DEVELOPMENT and TEMPORARY FILES %
- %========================================================================%
- %
- % demo_and_misc/demo directory
- %=============================
- % dem_1 - Demo 1 for Lifting functions.
- % dem_2 - Demo 2 for Lifting functions.
- % dem_3 - Demo 3 for Lifting functions.
- % dem_4 - Demo 4 for Lifting functions.
- % dem_liftfilt - Demonstrates liffilt function capabilities.
- % dem_wlift_1 - Demo 1 for WLIFT.
- % dem_wlift_2 - Demo 2 for WLIFT.
- % dem_wlift_3 - Demo 3 for WLIFT.
- % demoliftwav - Demonstrates Lifting functions in the Wavelet Toolbox.
- % wlift_str_util - String utilities for lifting demos.
- % make_wave - Built Scaling function and Wavelet.
- % view_dec - Show Polyphase Matrix decompositions.
- %
- % demo_and_misc/misc directory
- %=============================
- %
- % VARIOUS TESTS (some are which are also DEMOS)
- %----------------------------------------------
- % t_lwt_1 - Test lifting decomposition and reconstruction (1-D).
- % (TEST for functions LWT and ILWT).
- %
- % t_lwt_2 - Test lifting decomposition and reconstruction (1-D).
- % (TEST for the function LWTCOEF).
- %
- % t_lwt_2bis - Test lifting decomposition and reconstruction (1-D).
- % (TEST for the function LWTCOEF).
- %
- % t_lwt_3 - Test lifting decomposition and reconstruction (1-D).
- % (GUI for thresholding).
- %
- % t_lwt_4 - Test lifting decomposition and reconstruction (1-D).
- % (GUI for thresholding).
- %
- % t_lwt2_1 - Test lifting decomposition and reconstruction (2-D).
- % (TEST for functions LWT2 and ILWT2).
- %
- % t_lwt2_2 - Test lifting decomposition and reconstruction (2-D).
- % (TEST for the function LWTCOEF2).
- %
- % t_lwt2_3 - Test lifting decomposition and reconstruction (2-D).
- % (GUI for thresholding).
- %
- %---------------
- % t_lwt_dwt_01 - Comparison between DWT and LWT (level 1).
- % t_lwt_dwt_db - Comparison between DWT and LWT (DB wavelets - level 1).
- % t_lwt_dwt_02 - Comparison between DWT and LWT coefficients (1-D).
- % t_lwt_dwt_03 - Comparison between DWT and LWT coefficients (2-D).
- %---------------
- % Last Revision: 12-Nov-2003
- % Copyright 1995-2004 The MathWorks, Inc.
- % Generated from Contents.m_template revision $Date: 2004/03/15 22:40:59 $