1 | function [xp1,xp2]=wtps(phi,Yp) |
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2 | % WTPS Thin-plate spline warping |
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3 | % [XP1,XP2]=WTPS(PHI,YP) computes the thin-plate spline (TPS) |
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4 | % specified by the basis PHI and the warped control point Yp. |
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5 | % |
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6 | % Yp is a 2xK matrix with one column per control point and the basis |
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7 | % PHI is calculated by means of the TPS function. |
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8 | % |
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9 | % The thin-palte spline is defined on a domain X1,X2 and specified |
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10 | % by a set of points Y and their warp YP. The spline passes |
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11 | % interpolates exaclty the control points. |
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12 | % |
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13 | % The parameters X1,X2 and Y are used to compute the basis PHI. This |
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14 | % operation is fairily slow, but computing the spline for a given Yp |
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15 | % is then very quick, as the operation is just a linear combination |
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16 | % of the basis. |
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17 | % |
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18 | % Examples: [xp1,xp2]=WTPS(TPS(x1,x2,Y),Yp). |
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19 | % |
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20 | % See also TPS. |
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21 | |
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22 | % AUTORIGHTS |
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23 | % Copyright (C) 2006 Andrea Vedaldi |
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24 | % |
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25 | % This file is part of VLUtil. |
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26 | % |
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27 | % VLUtil is free software; you can redistribute it and/or modify |
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28 | % it under the terms of the GNU General Public License as published by |
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29 | % the Free Software Foundation; either version 2, or (at your option) |
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30 | % any later version. |
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31 | % |
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32 | % This program is distributed in the hope that it will be useful, |
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33 | % but WITHOUT ANY WARRANTY; without even the implied warranty of |
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34 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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35 | % GNU General Public License for more details. |
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36 | % |
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37 | % You should have received a copy of the GNU General Public License |
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38 | % along with this program; if not, write to the Free Software Foundation, |
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39 | % Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
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40 | |
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41 | [K,M,N] = size(phi) ; |
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42 | |
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43 | Xp=[Yp, zeros(2,3)]*reshape(phi,K,M*N) ; |
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44 | |
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45 | xp1 = reshape(Xp(1,:),M,N) ; |
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46 | xp2 = reshape(Xp(2,:),M,N) ; |
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