Question

4. A medical imaging system has the following line spread function, where a=5 radians/cm: l(x) = \begin{cases} cos(ax), & \text{for } |ax| \le \frac{\pi}{2} \\ 0, & \text{otherwise} \end{cases} 1) Plot this LSF; (3 pts) 2) What is the FWHM of this LSF? (5 pts) 3) If two lines were separated by 0.1 cm, can they be resolved using this image system? (2 pts)

          4. A medical imaging system has the following line spread function,
where a=5 radians/cm:
l(x) = \begin{cases} cos(ax), & \text{for } |ax| \le \frac{\pi}{2} \\ 0, & \text{otherwise} \end{cases}
1) Plot this LSF; (3 pts)
2) What is the FWHM of this LSF? (5 pts)
3) If two lines were separated by 0.1 cm, can they be resolved using
this image system? (2 pts)

4. A medical imaging system has the following line spread function,
where a=5 radians/cm:
l(x) = cos(ax), for |ax| ≤(π)/(2)
0, otherwise
1) Plot this LSF; (3 pts)
2) What is the FWHM of this LSF? (5 pts)
3) If two lines were separated by 0.1 cm, can they be resolved using
this image system? (2 pts)

Added by Milagros G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

Step 1

Since a=5 radians/cm, we can choose a range of x values from -1 to 1 cm and calculate the corresponding y values using the formula. Then, we can plot the points and connect them with a smooth curve. Here's an example of what the plot might look like: LSF plot: Show more…

Show all steps

Thanks for your feedback!

A medical imaging system has the following line spread function, where a=5 radians/cm: TC cos(ax) = for |ax| â‰¤ 0, otherwise 1) Plot this LSF; (3 pts) 2) What is the FWHM of this LSF? (5 pts) 3) If two lines were separated by 0.1 cm, can they be resolved using this imaging system? (2 pts)