--- /dev/null
+#!/usr/bin/python
+"""
+ Tracking of rotating point.
+ Rotation speed is constant.
+ Both state and measurements vectors are 1D (a point angle),
+ Measurement is the real point angle + gaussian noise.
+ The real and the estimated points are connected with yellow line segment,
+ the real and the measured points are connected with red line segment.
+ (if Kalman filter works correctly,
+ the yellow segment should be shorter than the red one).
+ Pressing any key (except ESC) will reset the tracking with a different speed.
+ Pressing ESC will stop the program.
+"""
+from opencv.cv import *
+from opencv.highgui import *
+from math import cos, sin, sqrt
+
+if __name__ == "__main__":
+ A = [ [1, 1], [0, 1] ]
+
+ img = cvCreateImage( cvSize(500,500), 8, 3 )
+ kalman = cvCreateKalman( 2, 1, 0 )
+ state = cvCreateMat( 2, 1, CV_32FC1 ) # (phi, delta_phi)
+ process_noise = cvCreateMat( 2, 1, CV_32FC1 )
+ measurement = cvCreateMat( 1, 1, CV_32FC1 )
+ rng = cvRNG(-1)
+ code = -1L
+
+ cvZero( measurement )
+ cvNamedWindow( "Kalman", 1 )
+
+ while True:
+ cvRandArr( rng, state, CV_RAND_NORMAL, cvRealScalar(0), cvRealScalar(0.1) )
+
+ kalman.transition_matrix[:] = A
+ cvSetIdentity( kalman.measurement_matrix, cvRealScalar(1) )
+ cvSetIdentity( kalman.process_noise_cov, cvRealScalar(1e-5) )
+ cvSetIdentity( kalman.measurement_noise_cov, cvRealScalar(1e-1) )
+ cvSetIdentity( kalman.error_cov_post, cvRealScalar(1))
+ cvRandArr( rng, kalman.state_post, CV_RAND_NORMAL, cvRealScalar(0), cvRealScalar(0.1) )
+
+ while True:
+ def calc_point(angle):
+ return cvPoint( cvRound(img.width/2 + img.width/3*cos(angle)),
+ cvRound(img.height/2 - img.width/3*sin(angle)))
+
+ state_angle = state[0]
+ state_pt = calc_point(state_angle)
+
+ prediction = cvKalmanPredict( kalman )
+ predict_angle = prediction[0,0]
+ predict_pt = calc_point(predict_angle)
+
+ cvRandArr( rng, measurement, CV_RAND_NORMAL, cvRealScalar(0),
+ cvRealScalar(sqrt(kalman.measurement_noise_cov[0,0])) )
+
+ # generate measurement
+ cvMatMulAdd( kalman.measurement_matrix, state, measurement, measurement )
+
+ measurement_angle = measurement[0,0]
+ measurement_pt = calc_point(measurement_angle)
+
+ # plot points
+ def draw_cross( center, color, d ):
+ cvLine( img, cvPoint( center.x - d, center.y - d ),
+ cvPoint( center.x + d, center.y + d ), color, 1, CV_AA, 0)
+ cvLine( img, cvPoint( center.x + d, center.y - d ),
+ cvPoint( center.x - d, center.y + d ), color, 1, CV_AA, 0 )
+
+ cvZero( img )
+ draw_cross( state_pt, CV_RGB(255,255,255), 3 )
+ draw_cross( measurement_pt, CV_RGB(255,0,0), 3 )
+ draw_cross( predict_pt, CV_RGB(0,255,0), 3 )
+ cvLine( img, state_pt, measurement_pt, CV_RGB(255,0,0), 3, CV_AA, 0 )
+ cvLine( img, state_pt, predict_pt, CV_RGB(255,255,0), 3, CV_AA, 0 )
+
+ cvKalmanCorrect( kalman, measurement )
+
+ cvRandArr( rng, process_noise, CV_RAND_NORMAL, cvRealScalar(0),
+ cvRealScalar(sqrt(kalman.process_noise_cov[0,0])))
+ cvMatMulAdd( kalman.transition_matrix, state, process_noise, state )
+
+ cvShowImage( "Kalman", img )
+
+ code = str(cvWaitKey( 100 ))
+ if( code != '-1'):
+ break
+
+ if( code == '\x1b' or code == 'q' or code == 'Q' ):
+ break
+
+ cvDestroyWindow("Kalman")