Fast algorithm for calculation of linear variations

Fedor Alekseev; Mikhail Alekseev; Artyom Makovetskii

doi:10.1117/12.2237730

28 September 2016 Fast algorithm for calculation of linear variations

Fedor Alekseev, Mikhail Alekseev, Artyom Makovetskii

Proceedings Volume 9971, Applications of Digital Image Processing XXXIX; 99712J (2016) https://doi.org/10.1117/12.2237730
Event: SPIE Optical Engineering + Applications, 2016, San Diego, California, United States

Abstract

Image restoration deals with functions of two variables. A function of two variables can be described by two variations, namely total variation and linear variation. Linear variation is a topological characteristic of a function of two variables. In this text we compare possible approaches to calculation of linear variation: the straightforward one, based on conventional algorithms for connected component labeling, and also we present a modification that exploits specificity of the problem to dramatically reduce complexity by reusing of intermediate results. Possibilities for further optimizations are also discussed.

Citation Download Citation

Fedor Alekseev, Mikhail Alekseev, and Artyom Makovetskii "Fast algorithm for calculation of linear variations", Proc. SPIE 9971, Applications of Digital Image Processing XXXIX, 99712J (28 September 2016); https://doi.org/10.1117/12.2237730

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