1 | %'set_subdomains': sort a set of points defined by scattered coordinates in subdomains, as needed for tps interpolation |
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2 | %------------------------------------------------------------------------ |
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3 | % [SubRange,NbCentre,IndSelSubDomain] =set_subdomains(Coord,SubDomainNbPoint) |
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4 | % |
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5 | % OUTPUT: |
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6 | % SubRange(NbCoord,NbSubdomain,2): range (min, max) of the coordinates x and y respectively, for each subdomain |
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7 | % NbCentre(NbSubdomain): number of source points for each subdomain |
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8 | % IndSelSubDomain(SubDomainNbPointMax,NbSubdomain): set of indices of the input point array |
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9 | % selected in each subdomain, =0 beyond NbCentre points |
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10 | % |
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11 | % INPUT: |
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12 | % coord=[X Y]: matrix whose first column is the x coordinates of the input data points, the second column the y coordinates |
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13 | % SubdomainNbPoint: estimated number of data points whished for each subdomain |
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14 | |
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15 | %======================================================================= |
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16 | % Copyright 2008-2018, LEGI UMR 5519 / CNRS UGA G-INP, Grenoble, France |
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17 | % http://www.legi.grenoble-inp.fr |
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18 | % Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr |
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19 | % |
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20 | % This file is part of the toolbox UVMAT. |
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21 | % |
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22 | % UVMAT is free software; you can redistribute it and/or modify |
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23 | % it under the terms of the GNU General Public License as published |
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24 | % by the Free Software Foundation; either version 2 of the license, |
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25 | % or (at your option) any later version. |
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26 | % |
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27 | % UVMAT is distributed in the hope that it will be useful, |
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28 | % but WITHOUT ANY WARRANTY; without even the implied warranty of |
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29 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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30 | % GNU General Public License (see LICENSE.txt) for more details. |
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31 | %======================================================================= |
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32 | |
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33 | function [SubRange,NbCentre,IndSelSubDomain] =set_subdomains(Coord,SubDomainNbPoint) |
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34 | |
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35 | %% adjust subdomain decomposition |
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36 | NbVec=size(Coord,1); |
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37 | NbCoord=size(Coord,2); |
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38 | MinCoord=min(Coord,[],1); |
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39 | MaxCoord=max(Coord,[],1); |
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40 | Range=MaxCoord-MinCoord; |
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41 | AspectRatio=Range(2)/Range(1); |
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42 | NbSubDomain=NbVec/SubDomainNbPoint; |
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43 | NbSubDomainX=max(floor(sqrt(NbSubDomain/AspectRatio)),1); |
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44 | NbSubDomainY=max(floor(sqrt(NbSubDomain*AspectRatio)),1); |
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45 | NbSubDomain=NbSubDomainX*NbSubDomainY; |
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46 | Siz(1)=Range(1)/NbSubDomainX;%width of subdomains |
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47 | Siz(2)=Range(2)/NbSubDomainY;%height of subdomains |
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48 | CentreX=linspace(MinCoord(1)+Siz(1)/2,MaxCoord(1)-Siz(1)/2,NbSubDomainX); |
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49 | CentreY=linspace(MinCoord(2)+Siz(2)/2,MaxCoord(2)-Siz(2)/2,NbSubDomainY); |
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50 | [CentreX,CentreY]=meshgrid(CentreX,CentreY); |
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51 | CentreY=reshape(CentreY,1,[]);% Y positions of subdomain centres |
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52 | CentreX=reshape(CentreX,1,[]);% X positions of subdomain centres |
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53 | |
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54 | %% default output |
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55 | SubRange=zeros(NbCoord,2,NbSubDomain);%initialise the positions of subdomains |
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56 | NbCentre=zeros(1,NbSubDomain);%number of interpolated values per subdomain, =0 by default |
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57 | %Coord_tps=zeros(NbVec,NbCoord,NbSubDomain);% default positions of the tps source= initial positions of the good vectors sorted by subdomain |
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58 | check_empty=zeros(1,NbSubDomain); |
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59 | |
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60 | %% adjust subdomains |
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61 | for isub=1:NbSubDomain |
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62 | SubRange(1,:,isub)=[CentreX(isub)-0.55*Siz(1) CentreX(isub)+0.55*Siz(1)]; |
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63 | SubRange(2,:,isub)=[CentreY(isub)-0.55*Siz(2) CentreY(isub)+0.55*Siz(2)]; |
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64 | IndSel_previous=[]; |
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65 | IndSel=0; |
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66 | while numel(IndSel)>numel(IndSel_previous) %increase the subdomain if it contains less than SubDomainNbPoint/4 sources |
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67 | IndSel_previous=IndSel; |
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68 | IndSel=find(Coord(:,1)>=SubRange(1,1,isub) & Coord(:,1)<=SubRange(1,2,isub) & Coord(:,2)>=SubRange(2,1,isub) & Coord(:,2)<=SubRange(2,2,isub)); |
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69 | % if no source in the subdomain, skip the subdomain |
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70 | if isempty(IndSel) |
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71 | check_empty(isub)=1; |
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72 | break |
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73 | % if too few selected sources, increase the subrange for next iteration |
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74 | elseif numel(IndSel)<SubDomainNbPoint/4 && ~isequal( IndSel,IndSel_previous); |
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75 | SubRange(:,1,isub)=SubRange(:,1,isub)-Siz'/4; |
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76 | SubRange(:,2,isub)=SubRange(:,2,isub)+Siz'/4; |
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77 | else |
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78 | break |
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79 | end |
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80 | end |
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81 | NbCentre(isub)=numel(IndSel); |
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82 | IndSelSubDomain(1:numel(IndSel),isub)=IndSel; |
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83 | end |
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84 | |
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85 | |
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86 | %% remove empty subdomains |
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87 | ind_empty=find(check_empty); |
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88 | if ~isempty(ind_empty) |
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89 | SubRange(:,:,ind_empty)=[]; |
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90 | NbCentre(ind_empty)=[]; |
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91 | IndSelSubDomain(:,ind_empty)=[]; |
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92 | end |
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93 | |
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94 | |
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