How to construct a resampling matrix for an image using matlab and also how to do zero mask derivation for the same image?

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Currently I am working on following paper "Effective Detection for Linear Up-Sampling by a Factor of Fraction".I am facing problems in constructing the resampling matrix zeroing mask derivation with the algorithms given in the paper.So I need help regarding the algorithm for the same.Here I am attaching my code file for the same.

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