From f618466c25d43f3bae9e40920273bf77de1e1149 Mon Sep 17 00:00:00 2001
From: leochanj105 <leochanj@live.unc.edu>
Date: Mon, 19 Oct 2020 23:09:30 -0400
Subject: initial sd-vbs

initial sd-vbs

add sd-vbs

sd-vbs
---
 .../toolbox/toolbox_basic/TOOLBOX_calib/rect.m     | 127 +++++++++++++++++++++
 1 file changed, 127 insertions(+)
 create mode 100755 SD-VBS/common/toolbox/toolbox_basic/TOOLBOX_calib/rect.m

(limited to 'SD-VBS/common/toolbox/toolbox_basic/TOOLBOX_calib/rect.m')

diff --git a/SD-VBS/common/toolbox/toolbox_basic/TOOLBOX_calib/rect.m b/SD-VBS/common/toolbox/toolbox_basic/TOOLBOX_calib/rect.m
new file mode 100755
index 0000000..ccac7a5
--- /dev/null
+++ b/SD-VBS/common/toolbox/toolbox_basic/TOOLBOX_calib/rect.m
@@ -0,0 +1,127 @@
+function [Irec] = rect(I,R,f,c,k,alpha,KK_new);
+
+
+if nargin < 5,
+   k = 0;
+   if nargin < 4,
+      c = [0;0];
+      if nargin < 3,
+         f = [1;1];
+         if nargin < 2,
+            R = eye(3);
+            if nargin < 1,
+               error('ERROR: Need an image to rectify');
+               break;
+            end;
+         end;
+      end;
+   end;
+end;
+
+
+if nargin < 7,
+   if nargin < 6,
+		KK_new = [f(1) 0 c(1);0 f(2) c(2);0 0 1];
+   else
+   	KK_new = alpha; % the 6th argument is actually KK_new   
+   end;
+   alpha = 0;
+end;
+
+
+
+% Note: R is the motion of the points in space
+% So: X2 = R*X where X: coord in the old reference frame, X2: coord in the new ref frame.
+
+
+if ~exist('KK_new'),
+   KK_new = [f(1) alpha_c*fc(1) c(1);0 f(2) c(2);0 0 1];
+end;
+
+
+[nr,nc] = size(I);
+
+Irec = 255*ones(nr,nc);
+
+[mx,my] = meshgrid(1:nc, 1:nr);
+px = reshape(mx',nc*nr,1);
+py = reshape(my',nc*nr,1);
+
+rays = inv(KK_new)*[(px - 1)';(py - 1)';ones(1,length(px))];
+
+
+% Rotation: (or affine transformation):
+
+rays2 = R'*rays;
+
+x = [rays2(1,:)./rays2(3,:);rays2(2,:)./rays2(3,:)];
+
+
+% Add distortion:
+
+k1 = k(1);
+k2 = k(2);
+
+p1 = k(3);
+p2 = k(4);
+
+r_2 = sum(x.^2);
+
+delta_x = [2*p1*x(1,:).*x(2,:) + p2*(r_2 + 2*x(1,:).^2) ;
+           p1 * (r_2 + 2*x(2,:).^2)+2*p2*x(1,:).*x(2,:)];
+
+xd = (ones(2,1)*( 1 + k1 * r_2 + k2 * r_2.^2)) .* x + delta_x;
+
+
+% Reconvert in pixels:
+
+px2 = f(1)*(xd(1,:)+alpha_c*xd(2,:))+c(1);
+py2 = f(2)*xd(2,:)+c(2);
+
+
+% Interpolate between the closest pixels:
+
+px_0 = floor(px2);
+px_1 = px_0 + 1;
+alpha_x = px2 - px_0;
+
+py_0 = floor(py2);
+py_1 = py_0 + 1;
+alpha_y = py2 - py_0;
+
+good_points = find((px_0 >= 0) & (px_1 <= (nc-1)) & (py_0 >= 0) & (py_1 <= (nr-1)));
+
+I_lu = I(px_0(good_points) * nr + py_0(good_points) + 1);
+I_ru = I(px_1(good_points) * nr + py_0(good_points) + 1);
+I_ld = I(px_0(good_points) * nr + py_1(good_points) + 1);
+I_rd = I(px_1(good_points) * nr + py_1(good_points) + 1);
+
+
+I_interp = (1 - alpha_y(good_points)).*((1 - alpha_x(good_points)).* I_lu + alpha_x(good_points) .* I_ru) + alpha_y(good_points) .* ((1 - alpha_x(good_points)).* I_ld + alpha_x(good_points) .* I_rd);
+
+
+Irec((px(good_points)-1)*nr + py(good_points)) = I_interp;
+
+
+
+return;
+
+
+% Convert in indices:
+
+fact = 3;
+
+[XX,YY]= meshgrid(1:nc,1:nr);
+[XXi,YYi]= meshgrid(1:1/fact:nc,1:1/fact:nr);
+
+%tic;
+Iinterp = interp2(XX,YY,I,XXi,YYi); 
+%toc
+
+[nri,nci] = size(Iinterp);
+
+
+ind_col = round(fact*(f(1)*xd(1,:)+c(1)))+1;
+ind_row = round(fact*(f(2)*xd(2,:)+c(2)))+1;
+
+good_points = find((ind_col >=1)&(ind_col<=nci)&(ind_row >=1)& (ind_row <=nri));
-- 
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