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計(jì)算小波分解的快速算法,比Matlab自帶的wavefilter速度要快很多
代碼片段和文件信息
function?[c?s]?=?wavefast(x?n?varargin)
%WAVEFAST?Perform?multi-level?2-dimensional?fast?wavelet?transform.
%???[C?L]?=?WAVEFAST(X?N?LP?HP)?performs?a?2D?N-level?FWT?of
%???image?(or?matrix)?X?with?respect?to?decomposition?filters?LP?and
%???HP.
%
%???[C?L]?=?WAVEFAST(X?N?WNAME)?performs?the?same?operation?but
%???fetches?filters?LP?and?HP?for?wavelet?WNAME?using?WAVEFILTER.
%
%???Scale?parameter?N?must?be?less?than?or?equal?to?log2?of?the
%???maximum?image?dimension.??Filters?LP?and?HP?must?be?even.?To
%???reduce?border?distortion?X?is?symmetrically?extended.?That?is
%???if?X?=?[c1?c2?c3?...?cn]?(in?1D)?then?its?symmetric?extension
%???would?be?[...?c3?c2?c1?c1?c2?c3?...?cn?cn?cn-1?cn-2?...].
%
%???OUTPUTS:
%?????Matrix?C?is?a?coefficient?decomposition?vector:
%
%??????C?=?[?a(n)?h(n)?v(n)?d(n)?h(n-1)?...?v(1)?d(1)?]
%
%?????where?a?h?v?and?d?are?columnwise?vectors?containing
%?????approximation?horizontal?vertical?and?diagonal?coefficient
%?????matrices?respectively.??C?has?3n?+?1?sections?where?n?is?the
%?????number?of?wavelet?decompositions.?
%
%?????Matrix?S?is?an?(n+2)?x?2?bookkeeping?matrix:
%
%??????S?=?[?sa(n?:);?sd(n?:);?sd(n-1?:);?...?;?sd(1?:);?sx?]
%
%?????where?sa?and?sd?are?approximation?and?detail?size?entries.
%
%???See?also?WAVEBACK?and?WAVEFILTER.
%???Copyright?2002-2004?R.?C.?Gonzalez?R.?E.?Woods?&?S.?L.?Eddins
%???Digital?Image?Processing?Using?MATLAB?Prentice-Hall?2004
%???$Revision:?1.5?$??$Date:?2003/10/13?01:14:17?$
%?Check?the?input?arguments?for?reasonableness.
error(nargchk(3?4?nargin));
if?nargin?==?3
???if?ischar(varargin{1})???
??????[lp?hp]?=?wavefilter(varargin{1}?‘d‘);
???else?
??????error(‘Missing?wavelet?name.‘);???
???end
else
??????lp?=?varargin{1};?????hp?=?varargin{2};???
end
fl?=?length(lp);??????sx?=?size(x);
if?(ndims(x)?~=?2)?|?(min(sx)?2)?|?~isreal(x)?|?~isnumeric(x)
???error(‘X?must?be?a?real?numeric?matrix.‘);?????
end
??
if?(ndims(lp)?~=?2)?|?~isreal(lp)?|?~isnumeric(lp)?...
???????|?(ndims(hp)?~=?2)?|?~isreal(hp)?|?~isnumeric(hp)?...
??
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