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For a continuous image f(x, y), how could be Sampling defined?

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For a continuous image f(x, y), how could be Sampling defined?

(a) Digitizing the coordinate values

(b) Digitizing the amplitude values

(c) All of the mentioned

(d) None of the mentioned

This question was addressed to me by my school teacher while I was bunking the class.

The origin of the question is Basics Of Image Sampling & Quantization topic in section Digital Image Fundamentals of Digital Image Processing

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Right option is (a) Digitizing the coordinate values

Easy explanation: Sampling is the method of digitizing the coordinate values of the image.

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