High-Order Recursive Filtering of Non-Uniformly Sampled Signals for Image and Video Processing

Simple item page
dc.contributor.authorGastal, Eduardo S. L.en_US
dc.contributor.authorOliveira, Manuel M.en_US
dc.contributor.editorOlga Sorkine-Hornung and Michael Wimmeren_US
dc.date.accessioned2015-04-16T07:43:24Z
dc.date.available2015-04-16T07:43:24Z
dc.date.issued2015en_US
dc.description.abstractWe present a discrete-time mathematical formulation for applying recursive digital filters to non-uniformly sampled signals. Our solution presents several desirable features: it preserves the stability of the original filters; is well-conditioned for low-pass, high-pass, and band-pass filters alike; its cost is linear in the number of samples and is not affected by the size of the filter support. Our method is general and works with any non-uniformly sampled signal and any recursive digital filter defined by a difference equation. Since our formulation directly uses the filter coefficients, it works out-of-the-box with existing methodologies for digital filter design. We demonstrate the effectiveness of our approach by filtering non-uniformly sampled signals in various image and video processing tasks including edge-preserving color filtering, noise reduction, stylization, and detail enhancement. Our formulation enables, for the first time, edge-aware evaluation of any recursive infinite impulse response digital filter (not only low-pass), producing high-quality filtering results in real time.en_US
dc.description.number2en_US
dc.description.sectionheadersImage and Video Processingen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume34en_US
dc.identifier.doi10.1111/cgf.12543en_US
dc.identifier.pages081-093en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12543en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.4.3 [Computer Graphics]en_US
dc.subjectImage Processing and Computer Visionen_US
dc.subjectEnhancementen_US
dc.titleHigh-Order Recursive Filtering of Non-Uniformly Sampled Signals for Image and Video Processingen_US
Files
Collections
34-Issue 2
EG 2015 - Full Papers - CGF 34-Issue 2