buildrpbasistree2.m

beamlet变化的工具箱

%  BuildRPBasisTree -- Build an Anisotropic 2-d Basis Tree  
% 
%  Usage
%     btree = BuildRPBasisTree(maxDepth,BasisName,optionList)
% 
%   Inputs
%     maxDepth       A 2-vector defining Maximum depth of tree (in coordinate1 direction
%                    and in coordinate2 direction)  maxDepth = [maxDepth1,maxDepth2]
%                    (imageSize is defined as  2.^[maxDepth1,maxDepth2]).
%     BasisName	defines the Basis to be built and can be:
%              'Congruent' = basis corresponding to a tiling of the 2D plane using 
%                    congruent rectangles of size imageSize(1)/(2^d1) X imageSize(2)/(2^d2)
%                    optionList = [d1,d2]
%              'Trivial' = the unitary basis, corresponding to the tiling of the 2D plane 
%                   with 1 rectangle of size imageSize(1) X imageSize(2). 
%                   optionList = []
%              'Complete' = basis corresponding to tiling with smallest possible 
%                   rectangles,   i.e. of size 1 x 1.
%                   optionList = []
%              'Horizontal' = basis corresponding to tiling with horizontally elongated
%                    rectangles of uniform size  imageSize(1)/(2^d1) X imageSize(2) 
%                    optionList = [d1]
%              'Vertical' = basis corresponding to tiling with vertically elongated
%                    rectangles of uniform size  imageSize(1) X imageSize(2)/(2^d2)
%                    optionList = [d2]
%              'Diadic1' = basis corresponding to tiling with horizontally 
%                    elongated rectangles which diadicaly split the coordinate1 
%                    using d1 splits.
%                    optionList = [d1]
%              'FIO' = basis corresponding to a Fefferman/Stein/Sogge/Hart Basis Tree.
%                    Diadic splits horizontally and decresing splits vertically
%                    with maximum splits equal to d2 and decreasing by d2Step every 2 
%                    horizontal splits. Default optionList (d2Split=1).
%                    optionList = [d2Split]
%              'Cortex' = basis corresponding to tiling with horizontally 
%                    elongated rectangles which diadicaly split the coordinate1
%                    using d1 splits. And congruent splits in coordinate2
%                    (with size imageSize(2)/(2^d2)). OptionList defaults to MaxDepth
%                    optionList = [d1,d2]
%              'HorizontalFrom1D' = basis corresponding to tiling with horizontally 
%                    elongated rectangles given by a 1D tree of length 2*imageSize(1) -1
%                    optionList = [OneDtree]
%              'VerticalFrom1D' = basis corresponding to tiling with vertically elongated
%                    rectangles given by a 1D tree of length 2*imageSize(2) -1
%                    optionList = [OneDtree]
%              'Random' = basis corresponding to a random tiling. The optionList
%                    parameter determines the probabilities of spliting a node.
%                    (probabilities are in [0..1] and must sum to 1).
%                    optionList = []     equal probability to split splitcoor1 and splitcoor2
%                    optionList = [noSplitProb]  
%                    optionList = [noSplitProb splitCoor1Prob splitcoor2Prob]  
%                    
% 
%     optionList     a list of parameters associated with the chosen basis type. 
% 
%   Outputs
%     btree    anisotropic rectangle basis tree
% 
%   Description
%     Builds a basis tree associated with an anisotropic tiling of a 2D plane 
%     using rectangles. Size of associated tree need not be square.
%     
%   See also:  RPtree structure description.
% 
%
%
% Part of BeamLab Version:200
% Built:Friday,23-Aug-2002 00:00:00
% This is Copyrighted Material
% For Copying permissions see COPYING.m
% Comments? e-mail [e-mail]
%
%
% Part of BeamLab Version:200
% Built:Saturday,14-Sep-2002 00:00:00
% This is Copyrighted Material
% For Copying permissions see COPYING.m
% Comments? e-mail [e-mail]
%