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Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds
Consider the task of sampling and reconstructing a bandlimited spatial field in R <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> using moving sensors that take measurements along their path. It is inexpensive to increase the sampling rate along the paths of the sensors but more expensive to increase the total distance traveled by the …