Advanced Search
DSpace@MIT

A Fast Approximation of the Bilateral Filter using a Signal Processing Approach

Research and Teaching Output of the MIT Community

Show simple item record

dc.contributor.advisor Fredo Durand
dc.contributor.author Paris, Sylvain
dc.contributor.author Durand, Fredo
dc.contributor.other Computer Graphics
dc.date.accessioned 2006-11-13T18:32:46Z
dc.date.available 2006-11-13T18:32:46Z
dc.date.issued 2006-11-09
dc.identifier.other MIT-CSAIL-TR-2006-073
dc.identifier.uri http://hdl.handle.net/1721.1/34876
dc.description.abstract The bilateral filter is a nonlinear filter that smoothes a signal while preserving strong edges. It has demonstrated great effectiveness for a variety of problems in computer vision and computer graphics, and fast versions have been proposed. Unfortunately, little is known about the accuracy of such accelerations. In this paper, we propose a new signal-processing analysis of the bilateral filter which complements the recent studies that analyzed it as a PDE or as a robust statistical estimator. The key to our analysis is to express the filter in a higher-dimensional space where the signal intensity is added to the original domain dimensions. Importantly, this signal-processing perspective allows us to develop a novel bilateral filtering acceleration using downsampling in space and intensity. This affords a principled expression of accuracy in terms of bandwidth and sampling. The bilateral filter can be expressed as linear convolutions in this augmented space followed by two simple nonlinearities. This allows us to derive criteria for downsampling the key operations and achieving important acceleration of the bilateral filter. We show that, for the same running time, our method is more accurate than previous acceleration techniques. Typically, we are able to process a 2~megapixel image using our acceleration technique in less than a second, and have the result be visually similar to the exact computation that takes several tens of minutes. The acceleration is most effective with large spatial kernels. Furthermore, this approach extends naturally to color images and cross bilateral filtering.
dc.format.extent 38 p.
dc.format.extent 11564290 bytes
dc.format.extent 21570337 bytes
dc.format.mimetype application/pdf
dc.format.mimetype application/postscript
dc.language.iso en_US
dc.relation.ispartofseries Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory
dc.subject color image processing
dc.subject cross bilateral filter
dc.subject edge-preserving filter
dc.title A Fast Approximation of the Bilateral Filter using a Signal Processing Approach


Files in this item

Name Size Format Description
MIT-CSAIL-TR-2006 ... 11.02Mb PDF

Files in this item

Name Size Format Description
MIT-CSAIL-TR-2006 ... 20.57Mb Postscript

This item appears in the following Collection(s)

Show simple item record

MIT-Mirage