Backward Filtering of Images by Iterating Forward Filters

An-shui YU, Naoki Ono, Kohei Inoue, Hara Kenji, Kiichi Urahama

Research output: Contribution to journalArticlepeer-review


Given a filtering operation for images, we consider a problem for inverting it. If the algorithm of the original,i.e. forward filter is explicitly expressed, its inversion is tractable. However, if its algorithm is unknown exactly, it is hard to be reversed. We present, in this paper, a simple solution for this problem only by iterating the forward filter. This method can be used for a wide class of image filters including ones built in photo-retouch softwares. Examples are shown for smoothing, sharpening, halftoning and resizing filters.
Original languageEnglish
Pages (from-to)197-203
Number of pages7
JournalJournal of the Institute of Industrial Applications Engineers
Issue number4
Publication statusPublished - Oct 25 2017

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