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Numerical Differentiation and Integration

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Numerical differentiation and integration are very frequently required in processing experimental data. Typical examples, to name a few, are measuring velocities or acceleration from position or, respectively, velocity data, image reconstruction from projections by the method of "back projection", profile reconstruction from slope data in optical metrology. In this chapter, we describe transform based numerical differentiation and integration algorithms and demonstrate their advantages over standard numerical differentiation and integration algorithm.

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