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Operations research, linear programming, control theory, systems theory, optimal control, game theory

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How to use DFT to solve this minimization problem?

You need to minimize the objective function $$f:S \mapsto \| S-I\|_2^2+\beta(\| \partial_xS-h\|^2_2+\|\partial_yS-v\|_2^2) $$ where $\| \cdot \|_2$ is the "entrywise" $\ell^2$ norm. This is done as …
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