Estimate the accuracy of the simple stereo system (Figure 3) assuming that the only source of noise is the localization of corresponding points in the two images. Discuss the dependence of the error in depth estimation as a function of disparity error, depth itself, the baseline width and the focal length, respectively. Hint: Z = fB/d; Take the partial derivatives of Z with respect to d, B, f,  respectively.

Describe the procedure for Monte Carlo localization using a particle filter.

2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye, ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0; 3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions in the variables x_contact, y_contact, and z_contact. Print t_contact = 1.430 X_contact = 0.755 y contact = -0.380 z_contact = (Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial example output above is for ze = 10. 4. calculates the average x- and y-coordinates 1 y = Yi N where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated. Store the result as a list in the variable center = [x_avg, y_avg]…

Matlab: Create a linearly polarized light with its polarization along the X axis. (ii) Specify the polarization angle of the linear polarizer with respect to the X axis. (iii) Calculate the fields EX(t) and EY(t) after the polarizer. (iv) Similar with (a) (iii), plot the output vectorial fields ( EX(t), EY(t) after the polarizer) and the input vectorial fields (EX(t), EY(t) before the polarizer) in ONE time-lapse plot.