Exersize related to sampling frequency of 2D signal

[ramdas]

For an image, higher the dimensions of image ,more is the resolution of the image.But is there any relation present between sampling frequency and dimensions of image? Also, Whether the Number of samples presents in an image is equal to product of dimensions of image?

 

[Baluncore]

You must sample an image on each axis at twice the highest spatial frequency present in the image.
The total number of data points will therefore be proportional to the area of the image.