What is the pixel size for a 2048 x 2048 matrix with an 80-cm FOV?

What is the pixel size for a 2048 x 2048 matrix with an 80-cm FOV?

• A. 0.04 mm
• B. 0.08 mm
• C. 0.2 mm
• D. 0.4 mm

Answer: (D)

To determine the pixel size for a 2048 x 2048 matrix with an 80-cm field of view (FOV), it is essential to understand how pixel size is calculated in relation to the matrix dimensions and the FOV. The pixel size can be computed using the formula: \[ \text{Pixel size} = \frac{\text{FOV}}{\text{Matrix size}} \] In this case, the FOV is given as 80 cm, which can be converted to millimeters: \[ 80 \, \text{cm} = 800 \, \text{mm} \] Next, since the matrix is 2048 x 2048, the number of pixels along each dimension is 2048. The formula applied will thus look like this: \[ \text{Pixel size} = \frac{800 \, \text{mm}}{2048} \] Calculating this gives: \[ \text{Pixel size} \approx 0.390625 \, \text{mm} \] When rounding to one decimal place, this value rounds to 0.4 mm. Therefore, the correct answer reflects that the pixel size in this scenario is indeed 0

To determine the pixel size for a 2048 x 2048 matrix with an 80-cm field of view (FOV), it is essential to understand how pixel size is calculated in relation to the matrix dimensions and the FOV.

The pixel size can be computed using the formula:

[ \text{Pixel size} = \frac{\text{FOV}}{\text{Matrix size}} ]

In this case, the FOV is given as 80 cm, which can be converted to millimeters:

[ 80 , \text{cm} = 800 , \text{mm} ]

Next, since the matrix is 2048 x 2048, the number of pixels along each dimension is 2048. The formula applied will thus look like this:

[ \text{Pixel size} = \frac{800 , \text{mm}}{2048} ]

Calculating this gives:

[ \text{Pixel size} \approx 0.390625 , \text{mm} ]

When rounding to one decimal place, this value rounds to 0.4 mm.

Therefore, the correct answer reflects that the pixel size in this scenario is indeed 0