For the following ten angle observations, the standard error of the mean angle is given as 2cm arcsecond (rounded off to 2 decimal places).
25$^\circ$40'12'' | 25$^\circ$40'14'' | 25$^\circ$40'16'' | 25$^\circ$40'18'' | 25$^\circ$40'09'' |
25$^\circ$40'15'' | 25$^\circ$40'10'' | 25$^\circ$40'13'' | 25$^\circ$40'15'' | 25$^\circ$40'18'' |
The residual error in a measurement comprises a bias of \( +0.08 \, {m} \) and a random component given by the following density function: \[ f(x) = \frac{1}{0.15 \sqrt{2\pi}} \exp\left( -\frac{x^2}{2 \cdot (0.15)^2} \right) \] For this system, the mean square error (MSE) is __________ m (rounded off to 2 decimal places).
The covariance matrix, \( \Sigma \), for the planar coordinates of a surveyed point is given as:
\[ \Sigma = \begin{bmatrix} 25 & 0.500 \\ 0.500 & 100 \end{bmatrix} \quad \text{(in mm}^2\text{)} \] The coefficient of correlation is __________ (rounded off to 2 decimal places).
The error matrix resulting from randomly selected test pixels for a classified image is given below.
The Producer’s accuracy of class 1 is % (rounded off to 1 decimal place).
Reference Data | |||||
---|---|---|---|---|---|
Class 1 | Class 2 | Class 3 | Class 4 | ||
Classified Data | Class 1 | 320 | 8 | 7 | 3 |
Class 2 | 12 | 270 | 6 | 2 | |
Class 3 | 9 | 6 | 410 | 5 | |
Class 4 | 14 | 2 | 3 | 350 |
The brightness values of four pixels in the input image are shown in the table below. The image is rectified using nearest neighbor intensity interpolation, and the pixel at location (5, 4) in the output image is to be filled with the value from coordinate (5.3, 3.7) in the input image. The brightness value of the pixel at location (5, 4) in the rectified output image is 11. (Answer in integer)
Location of pixels in input image (Row, Column) | Brightness Value |
---|---|
(5, 3) | 9 |
(5, 4) | 11 |
(6, 3) | 14 |
(6, 4) | 12 |
The hue, intensity and saturation values for a pixel are \( H = 0.5 \, {rad} \), \( S = 0.5 \), and \( I = 0.3 \), respectively. If the pixel is converted to RGB color model, then the value of the green pixel would be __________ (rounded off to 2 decimal places).