v01

thirdparty/opengv/matlab/helpers/createMulti2D2DExperiment.m

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+function [v1, v2, cam_offsets, t, R ] = createMulti2D2DExperiment( pt_per_cam, cam_number, noise, outlier_fraction )
+
+%% generate the camera system
+
+avg_cam_distance = 0.5;
+cam_offsets = zeros(3,cam_number);
+%cam_rotations = zeros(3,cam_number*3);
+
+if cam_number == 1
+    cam_offsets = zeros(3,1);
+    %cam_rotations = eye(3);
+else
+    for i=1:cam_number
+        cam_offsets(:,i) = avg_cam_distance * generateRandomR() * [1.0; 0.0; 0.0];
+        %cam_rotations(:,(i-1)*3+1:(i-1)*3+3) = generateRandomR();
+    end
+end
+
+%% generate random view-points
+
+max_parallax = 2.0;
+max_rotation = 0.5;
+
+position1 = zeros(3,1);
+rotation1 = eye(3);
+
+position2 = max_parallax * 2.0 * (rand(3,1) - repmat(0.5,3,1));
+rotation2 = generateBoundedR(max_rotation);
+
+%% Generate random point-clouds
+
+minDepth = 4.0;
+maxDepth = 8.0;
+
+p = cell([cam_number 1]);
+
+for cam=1:cam_number
+	normalizedPoints = 2.0*(rand(3,pt_per_cam)-repmat(0.5,3,pt_per_cam));
+	norms = sqrt(sum(normalizedPoints.*normalizedPoints));
+	directions = normalizedPoints./repmat(norms,3,1);
+	p{cam,1} = (maxDepth-minDepth) * normalizedPoints + minDepth * directions;
+end
+
+%% Now create the correspondences by looping through the cameras
+
+focal_length = 800.0;
+v1 = cell([cam_number 1]);
+v2 = cell([cam_number 1]);
+
+for cam=1:cam_number
+
+    v1{cam,1} = zeros(3,pt_per_cam);
+    v2{cam,1} = zeros(3,pt_per_cam);
+
+    for i=1:pt_per_cam
+    
+        cam_offset = cam_offsets(:,cam);
+        %cam_rotation = cam_rotations(:,(cam-1)*3+1:(cam-1)*3+3);
+    
+        body_point1 = rotation1' * (p{cam,1}(:,i)-position1);
+        body_point2 = rotation2' * (p{cam,1}(:,i)-position2);
+    
+        % we actually omit the cam rotation here by unrotating the bearing
+        % vectors already
+        bearingVector1 = body_point1 - cam_offset;
+        bearingVector2 = body_point2 - cam_offset;
+        bearingVector1_norm = norm(bearingVector1);
+        bearingVector2_norm = norm(bearingVector2);
+        bearingVector1 = bearingVector1/bearingVector1_norm;
+        bearingVector2 = bearingVector2/bearingVector2_norm;
+    
+        % add noise to the bearing vectors here
+        bearingVector1_noisy = addNoise(bearingVector1,focal_length,noise);
+        bearingVector2_noisy = addNoise(bearingVector2,focal_length,noise);
+    
+        % store the normalized bearing vectors along with the cameras they are
+        % being seen (we create correspondences that always originate from the
+        % same camera, you should not change this in this experiment!)
+        bearingVector1_norm = norm(bearingVector1_noisy);
+        bearingVector2_norm = norm(bearingVector2_noisy);
+    
+        v1{cam,1}(:,i) = bearingVector1_noisy./bearingVector1_norm;
+        v2{cam,1}(:,i) = bearingVector2_noisy./bearingVector2_norm;
+    end
+end
+
+%% Add outliers
+outliers_per_cam = floor(outlier_fraction*pt_per_cam);
+
+if outliers_per_cam > 0
+for cam=1:cam_number
+
+for i=1:outliers_per_cam
+    
+    cam_offset = cam_offsets(:,cam);
+    %cam_rotation = cam_rotations(:,(cam-1)*3+1:(cam-1)*3+3);
+    
+    %generate random point
+    normalizedPoint = 2.0*(rand(3,1)-repmat(0.5,3,1));
+    norm1 = sqrt(sum(normalizedPoint.*normalizedPoint));
+    direction = normalizedPoint./norm1;
+    point = (maxDepth-minDepth) * normalizedPoint + minDepth * direction;
+    
+    body_point2 = rotation2' * (point-position2);
+    
+    % store the point (no need to add noise)
+    bearingVector2 = body_point2 - cam_offset;
+    bearingVector2_norm = norm(bearingVector2);
+    
+    v2{cam,1}(:,i) = bearingVector2./bearingVector2_norm;
+end
+
+end
+end
+
+%% compute relative translation and rotation
+
+R = rotation1' * rotation2;
+t = rotation1' * (position2 - position1);