Anguelov, RoumenFabris-Rotelli, Inger Nicolette2010-11-182010-11-182010-11Anguelov, R & Fabris-Rotelli, I 2010, 'LULU Operators and Discrete Pulse Transform for Multidimensional Arrays', IEEE Transactions on Image Processing, vol. 19, no. 11. pp. 3012-3023. [http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?reload=true&punumber=83]1057-714910.1109/TIP.2010.2050639http://hdl.handle.net/2263/15297The LULU operators for sequences, that is, Ln,Un and their compositions, are extended to multidimensional arrays in a way which preserves their essential properties, e.g., consistent separation, total variation and shape preservation. The power of the operators is demonstrated by deriving the discrete pulse transform (DPT), which is a hierarchical decomposition of the input array into pulses. Similar to its 1-D counterpart this transform satisfies a basic consistency property.en© 2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.Area closingArea openingDiscrete pulse transform (DPT)LULU operatorsTotal variationArticle