diff toolboxes/FullBNT-1.0.7/bnt/examples/dynamic/SLAM/slam_kf.m @ 0:e9a9cd732c1e tip

first hg version after svn

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/toolboxes/FullBNT-1.0.7/bnt/examples/dynamic/SLAM/slam_kf.m	Tue Feb 10 15:05:51 2015 +0000
@@ -0,0 +1,78 @@
+% Plot how precision matrix changes over time for KF solution
+
+seed = 0;
+rand('state', seed);
+randn('state', seed);
+
+[A,B,C,Q,R,Qbig,Rbig,init_x,init_V,robot_block,landmark_block,...
+	  true_landmark_pos, true_robot_pos, true_data_assoc, ...
+	  obs_rel_pos, ctrl_signal] = mk_linear_slam(...
+	      'nlandmarks', 6, 'T', 12, 'ctrl', 'leftright', 'data-assoc', 'cycle');
+
+figure(1); clf
+hold on
+for i=1:nlandmarks
+  %text(true_landmark_pos(1,i), true_landmark_pos(2,i), sprintf('L%d',i));
+  plot(true_landmark_pos(1,i), true_landmark_pos(2,i), '*')
+end
+hold off
+
+
+[x, V] = kalman_filter(obs_rel_pos, A, C, Qbig, Rbig, init_x, init_V, ...
+				     'model', true_data_assoc, 'u', ctrl_signal, 'B', B);
+
+est_robot_pos = x(robot_block, :);
+est_robot_pos_cov = V(robot_block, robot_block, :);
+
+for i=1:nlandmarks
+  bi = landmark_block(:,i);
+  est_landmark_pos(:,i) = x(bi, T);
+  est_landmark_pos_cov(:,:,i) = V(bi, bi, T);
+end
+
+
+if 0
+figure(1); hold on
+for i=1:nlandmarks
+  h=plotgauss2d(est_landmark_pos(:,i), est_landmark_pos_cov(:,:,i));
+  set(h, 'color', 'r')
+end
+hold off
+
+hold on
+for t=1:T
+  h=plotgauss2d(est_robot_pos(:,t), est_robot_pos_cov(:,:,t));
+  set(h,'color','r')
+  h=text(est_robot_pos(1,t), est_robot_pos(2,2), sprintf('R%d', t));
+  set(h,'color','r')
+end
+hold off
+end
+
+
+P = zeros(size(V));
+for t=1:T
+  P(:,:,t) = inv(V(:,:,t));
+end
+
+if 0
+  figure(2)
+  for t=1:T
+    subplot(T/2,2,t)
+    imagesc(P(1:2:end,1:2:end, t))
+    colorbar
+  end
+else
+  figure(2)
+  for t=1:T
+    subplot(T/2,2,t)
+    imagesc(V(1:2:end,1:2:end, t))
+    colorbar
+  end
+end
+
+% marginalize out robot position and then check structure
+bi = landmark_block(:);
+V = V(bi,bi,T); 
+P = inv(V);
+P(1:2:end,1:2:end)