Exersize related to sampling frequency of 2D signal

AI Thread Summary
Higher image dimensions correlate with improved resolution, but there is a critical relationship between sampling frequency and image dimensions. To accurately capture an image, it is essential to sample at least twice the highest spatial frequency present in the image on each axis. The total number of samples in an image is indeed proportional to the product of its dimensions, reflecting the area of the image. This principle ensures that the image retains its detail and quality during the sampling process. Understanding these relationships is vital for effective image processing and analysis.
ramdas
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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?
 
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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.
 
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