1 | %======================================================================= |
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2 | % Copyright 2008-2022, LEGI UMR 5519 / CNRS UGA G-INP, Grenoble, France |
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3 | % http://www.legi.grenoble-inp.fr |
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4 | % Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr |
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5 | % |
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6 | % This file is part of the toolbox UVMAT. |
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7 | % |
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8 | % UVMAT is free software; you can redistribute it and/or modify |
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9 | % it under the terms of the GNU General Public License as published |
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10 | % by the Free Software Foundation; either version 2 of the license, |
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11 | % or (at your option) any later version. |
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12 | % |
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13 | % UVMAT is distributed in the hope that it will be useful, |
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14 | % but WITHOUT ANY WARRANTY; without even the implied warranty of |
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15 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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16 | % GNU General Public License (see LICENSE.txt) for more details. |
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17 | %======================================================================= |
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18 | |
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19 | x=2*pi*rand(100,1);%set of random x coordinates from 0 to 2pi |
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20 | y=2*pi*rand(100,1);%set of random y coordinates |
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21 | %U=exp(-(x-pi).*(x-pi)-(y-pi).*(y-pi));% gaussian |
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22 | U=x; |
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23 | [U_smooth,U_tps]=tps_coeff([x y],U,0);%calculate tps coeff |
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24 | xI=0:0.1:2*pi;%interpolation grid |
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25 | yI=0:0.1:2*pi; |
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26 | [XI,YI]=meshgrid(xI,yI); |
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27 | [npy,npx]=size(XI); |
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28 | XI=reshape(XI,[],1); |
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29 | YI=reshape(YI,[],1); |
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30 | EM = tps_eval([XI YI],[x y]);%evaluate interpolation on the new grid |
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31 | U_eval=EM*U_tps; |
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32 | U_eval=reshape(U_eval,npy,npx); |
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33 | figure(1) |
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34 | imagesc(U_eval,[-1 1]) |
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35 | [DMX,DMY] = tps_eval_dxy([XI YI],[x y]); |
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36 | DUX_eval=DMX*U_tps; |
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37 | DUY_eval=DMY*U_tps; |
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38 | DUX_eval=reshape(DUX_eval,npy,npx); |
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39 | % plot(yI,U_eval(:,5)) |
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40 | figure(2) |
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41 | DUY_eval=reshape(DUY_eval,npy,npx); |
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42 | imagesc(DUX_eval,[-1 1]) |
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43 | % plot(xI,DU_eval(:,5)) |
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44 | figure(3) |
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45 | imagesc(DUY_eval,[-1 1]) |
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46 | figure(4) |
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47 | % plot(x,U_eval(50,:),x,DUX_eval(50,:),x,DUY_eval(50,:)) |
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48 | size(U_eval(50,:)) |
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49 | size(xI) |
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50 | plot(xI,U_eval(50,:),xI,DUX_eval(50,:),xI,DUY_eval(50,:)) |
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