Geodesic
Wavelets and Functions with Bounded Variation from Image Processing to Pure Mathematics
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000), pp. 77-105

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JPEG-2000 has the potential to be the most significant advance in still image compression since the introduction of JPEG over a decade ago. JPEG-2000 is a wavelet based algorithm and it relies on new estimates on wavelet coefficients of functions of bounded variation. These new estimates have far reaching implications in pure mathematics. 
Meyer, Yves. Wavelets and Functions with Bounded Variation from Image Processing to Pure Mathematics. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000), pp. 77-105. http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_S1_a5/
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     author = {Meyer, Yves},
     title = {Wavelets and {Functions} with {Bounded} {Variation} from {Image} {Processing} to {Pure} {Mathematics}},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {77--105},
     year = {2000},
     volume = {Ser. 9, 11},
     number = {S1},
     zbl = {1149.42309},
     mrnumber = {1845666},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_S1_a5/}
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