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22 September 2015 Explicit solutions of one-dimensional total variation problem
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Abstract
This work deals with denosing of a one-dimensional signal corrupted by additive white Gaussian noise. A common way to solve the problem is to utilize the total variation (TV) method. Basically, the TV regularization minimizes a functional consisting of the sum of fidelity and regularization terms. We derive explicit solutions of the one-dimensional TV regularization problem that help us to restore noisy signals with a direct, non-iterative algorithm. Computer simulation results are provided to illustrate the performance of the proposed algorithm for restoration of noisy signals.
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Artyom Makovetskii, Sergei Voronin, and Vitaly Kober "Explicit solutions of one-dimensional total variation problem", Proc. SPIE 9599, Applications of Digital Image Processing XXXVIII, 959926 (22 September 2015); https://doi.org/10.1117/12.2187866
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