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Functions of Bounded Variation and Free Discontinuity Problems Diego Pallara, Luigi Ambrosio, Nicola Fusco
Publisher: Oxford Univ Pr

Functions of bounded variation. Regularization, which allows for discontinuous solutions. The resulting simple algorithm accurately differentiates noisy functions, including those which have a discontinuous derivative. BV is a good space to model functions with discontinuities along lines and curves, that . Quite natural, for it means that there can be discontinuities in the image but supported on rectifiable . That is, the derivative of a function 𝑓 , say on [ 0 , 𝐿 ] , is The functional 𝐹 is defined on 𝐵 𝑉 [ 0 , 𝐿 ] , the space of functions of bounded variation. 1.2.2 The Space of Special Functions of Bounded Variation. One of the innovative contribution given by De Giorgi to the study of free discontinuity problems. The Clarendon Press, Oxford University Press, New York (2000). Functions of Bounded Variation and Free Discontinuity Problems. New York: The Clarendon Press, Oxford University Press; 2000. EDIT: The textbook is "Functions of Bounded Variation and Free Discontinuity Problems" by Luigi Ambrosio et. Almost every level set of a function of bounded variation has finite perimeter Free Discontinuity Problems, Oxford University Press. For an overview of Γ- convergence techniques for the approximation of free-discontinuity problems see [7]. A common framework for this is Tikhonov regularization [ 1] of the corresponding inverse problem. Ambrosio, L., Fusco, N., Pallara, D.: Functions of bounded variation and free. Pallara, Function of Bounded Variation and Free Discontinuity Problems (Oxford Univ. Video Decomposition Using Bounded Variation .