Quantitative error analysis of bilateral filtering
dc.contributor.author | An, Senjian | |
dc.contributor.author | Boussaid, F. | |
dc.contributor.author | Bennamoun, M. | |
dc.contributor.author | Sohel, F. | |
dc.date.accessioned | 2018-08-08T04:42:14Z | |
dc.date.available | 2018-08-08T04:42:14Z | |
dc.date.created | 2018-08-08T03:50:34Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | An, S. and Boussaid, F. and Bennamoun, M. and Sohel, F. 2015. Quantitative error analysis of bilateral filtering. IEEE Signal Processing Letters. 22 (2): pp. 202-206. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/69751 | |
dc.identifier.doi | 10.1109/LSP.2014.2353694 | |
dc.description.abstract |
One of the fastest acceleration techniques for bilateral image filtering is the real time $O(1)$ quantization method proposed by Yang 2009, which first computes some Principal Bilateral Filtered Image Components (PBFICs) and then applies linear interpolation to estimate the filtered output images. There is a trade-off between accuracy and efficiency in selecting the number of PBFICs: the more PBFICs are used, the higher the accuracy, and the higher the computational cost. A question arises: how many PBFICs are required to achieve a certain level of accuracy? In this letter, we address this question by investigating the properties of bilateral filtering and deriving the linear interpolation error bounds when only a subset of PBFICs is used. The provided theoretical analysis indicates that the necessary number of PBFICs for user-provided precision depends on the range kernel and, for typical Gaussian range kernels, a small percentage (typically less than 4%) of the PBFICs are enough for good approximations. | |
dc.publisher | Institute of Electrical and Electronics Engineers | |
dc.title | Quantitative error analysis of bilateral filtering | |
dc.type | Journal Article | |
dcterms.source.volume | 22 | |
dcterms.source.number | 2 | |
dcterms.source.startPage | 202 | |
dcterms.source.endPage | 206 | |
dcterms.source.issn | 1070-9908 | |
dcterms.source.title | IEEE Signal Processing Letters | |
curtin.department | School of Electrical Engineering, Computing and Mathematical Science (EECMS) | |
curtin.accessStatus | Fulltext not available |
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