Last change
on this file since 743 was
434,
checked in by sommeria, 13 years ago
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corrections in the use of get_field
test_tps introduced, to test thin plate shell functions
tps-eval_dxy corrected (bug on the calculation of the derivatives fixed)
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File size:
933 bytes
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1 | x=2*pi*rand(100,1);%set of random x coordinates from 0 to 2pi |
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2 | y=2*pi*rand(100,1);%set of random y coordinates |
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3 | %U=exp(-(x-pi).*(x-pi)-(y-pi).*(y-pi));% gaussian |
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4 | U=x; |
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5 | [U_smooth,U_tps]=tps_coeff([x y],U,0);%calculate tps coeff |
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6 | xI=0:0.1:2*pi;%interpolation grid |
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7 | yI=0:0.1:2*pi; |
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8 | [XI,YI]=meshgrid(xI,yI); |
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9 | [npy,npx]=size(XI); |
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10 | XI=reshape(XI,[],1); |
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11 | YI=reshape(YI,[],1); |
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12 | EM = tps_eval([XI YI],[x y]);%evaluate interpolation on the new grid |
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13 | U_eval=EM*U_tps; |
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14 | U_eval=reshape(U_eval,npy,npx); |
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15 | figure(1) |
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16 | imagesc(U_eval,[-1 1]) |
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17 | [DMX,DMY] = tps_eval_dxy([XI YI],[x y]); |
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18 | DUX_eval=DMX*U_tps; |
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19 | DUY_eval=DMY*U_tps; |
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20 | DUX_eval=reshape(DUX_eval,npy,npx); |
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21 | % plot(yI,U_eval(:,5)) |
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22 | figure(2) |
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23 | DUY_eval=reshape(DUY_eval,npy,npx); |
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24 | imagesc(DUX_eval,[-1 1]) |
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25 | % plot(xI,DU_eval(:,5)) |
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26 | figure(3) |
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27 | imagesc(DUY_eval,[-1 1]) |
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28 | figure(4) |
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29 | % plot(x,U_eval(50,:),x,DUX_eval(50,:),x,DUY_eval(50,:)) |
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30 | size(U_eval(50,:)) |
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31 | size(xI) |
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32 | plot(xI,U_eval(50,:),xI,DUX_eval(50,:),xI,DUY_eval(50,:)) |
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