On implicit image derivatives and their applications

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The paper demonstrates advantages of using implicit finite differences for fast, accurate, and reliable differentiating and filtering of multidimensional signals defined on regular grids. In particular, applications to image enhancement and edge detection problems are considered. The theoretical contribution of the paper is threefold. The first adapts the Fourier-Padé-Galerkin approximations approach for constructing compact implicit finite difference schemes with desirable spectral resolution properties. The second establishes a link between implicit and explicit finite differences used for gradient direction estimation. Finally, the third one consists of introducing new implicit finite difference schemes with good spectral resolution properties.
Original languageEnglish
Title of host publicationProceedings of the British Machine Vision Conference
EditorsJesse Hoey, Stephen McKenna, Emanuele Trucco
PublisherBMVA Press
Number of pages12
Publication statusPublished - Sept 2011
EventThe 22nd British Machine Vision Conference - Dundee, United Kingdom
Duration: 29 Aug 20112 Sept 2011


ConferenceThe 22nd British Machine Vision Conference
Abbreviated titleBMVC 2011
Country/TerritoryUnited Kingdom


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