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J. Andrew Bangham, Pierre Chardaire, C. Jeremy Pye, Paul D. Ling, "Multiscale Nonlinear Decomposition: The Sieve Decomposition Theorem," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 18, no. 5, pp. 529539, May, 1996.  
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@article{ 10.1109/34.494642, author = {J. Andrew Bangham and Pierre Chardaire and C. Jeremy Pye and Paul D. Ling}, title = {Multiscale Nonlinear Decomposition: The Sieve Decomposition Theorem}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {18}, number = {5}, issn = {01628828}, year = {1996}, pages = {529539}, doi = {http://doi.ieeecomputersociety.org/10.1109/34.494642}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  Multiscale Nonlinear Decomposition: The Sieve Decomposition Theorem IS  5 SN  01628828 SP529 EP539 EPD  529539 A1  J. Andrew Bangham, A1  Pierre Chardaire, A1  C. Jeremy Pye, A1  Paul D. Ling, PY  1996 KW  Mathematical morphology KW  median filters KW  ordinal filters KW  rank KW  granularity KW  granulometry. VL  18 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
Abstract—Sieves decompose one dimensional bounded functions, e.g.,
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