Two Dimensional Sampling Theorem

February 2, 2019 by 3200 Creative

Two Dimensional Sampling Theorem

Question 1 of 2

1. Question
Let $\Delta x$ and $\Delta y$ be the sampling intervals (in meters) used to sample an image in the $x$ and $y$ directions. If $\Delta x = 10^{-3}$ and $\Delta y = 10^{-2}$ , what are the maximum spatial frequencies that can be sampled without aliasing?
- $U = 1000\pi$ rads/meter in $x$ -direction, $V = 500\pi$ rads/meter in $y$ -direction
- $U = 2000\pi$ rads/meter in $x$ -direction, $V =200\pi$ rads/meter in $y$ -direction
- $U = 1000\pi$ rads/meter in $x$ -direction, $V =100\pi$ rads/meter in $y$ -direction
- $U = 100\pi$ rads/meter in $x$ -direction, $V =100\pi$ rads/meter in $y$ -direction
Correct

Incorrect
Question 2 of 2

2. Question
The 2D Nyquist theorem states that to avoid aliasing we must sample both directions of an image with the same interval
- True
- False
Correct

Incorrect