Handle URI:
http://hdl.handle.net/10754/597437
Title:
A volume-based method for denoising on curved surfaces
Authors:
Biddle, Harry; von Glehn, Ingrid; Macdonald, Colin B.; Marz, Thomas
Abstract:
We demonstrate a method for removing noise from images or other data on curved surfaces. Our approach relies on in-surface diffusion: we formulate both the Gaussian diffusion and Perona-Malik edge-preserving diffusion equations in a surface-intrinsic way. Using the Closest Point Method, a recent technique for solving partial differential equations (PDEs) on general surfaces, we obtain a very simple algorithm where we merely alternate a time step of the usual Gaussian diffusion (and similarly Perona-Malik) in a small 3D volume containing the surface with an interpolation step. The method uses a closest point function to represent the underlying surface and can treat very general surfaces. Experimental results include image filtering on smooth surfaces, open surfaces, and general triangulated surfaces. © 2013 IEEE.
Citation:
Biddle H, von Glehn I, Macdonald CB, Marz T (2013) A volume-based method for denoising on curved surfaces. 2013 IEEE International Conference on Image Processing. Available: http://dx.doi.org/10.1109/ICIP.2013.6738109.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2013 IEEE International Conference on Image Processing
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Sep-2013
DOI:
10.1109/ICIP.2013.6738109
Type:
Conference Paper
Sponsors:
The work of all authors was partially supported by Award No KUK-C1-013-04 made by King Abdullah University of Science and Technology(KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBiddle, Harryen
dc.contributor.authorvon Glehn, Ingriden
dc.contributor.authorMacdonald, Colin B.en
dc.contributor.authorMarz, Thomasen
dc.date.accessioned2016-02-25T12:33:14Zen
dc.date.available2016-02-25T12:33:14Zen
dc.date.issued2013-09en
dc.identifier.citationBiddle H, von Glehn I, Macdonald CB, Marz T (2013) A volume-based method for denoising on curved surfaces. 2013 IEEE International Conference on Image Processing. Available: http://dx.doi.org/10.1109/ICIP.2013.6738109.en
dc.identifier.doi10.1109/ICIP.2013.6738109en
dc.identifier.urihttp://hdl.handle.net/10754/597437en
dc.description.abstractWe demonstrate a method for removing noise from images or other data on curved surfaces. Our approach relies on in-surface diffusion: we formulate both the Gaussian diffusion and Perona-Malik edge-preserving diffusion equations in a surface-intrinsic way. Using the Closest Point Method, a recent technique for solving partial differential equations (PDEs) on general surfaces, we obtain a very simple algorithm where we merely alternate a time step of the usual Gaussian diffusion (and similarly Perona-Malik) in a small 3D volume containing the surface with an interpolation step. The method uses a closest point function to represent the underlying surface and can treat very general surfaces. Experimental results include image filtering on smooth surfaces, open surfaces, and general triangulated surfaces. © 2013 IEEE.en
dc.description.sponsorshipThe work of all authors was partially supported by Award No KUK-C1-013-04 made by King Abdullah University of Science and Technology(KAUST).en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectImage denoisingen
dc.subjectNumerical analysisen
dc.subjectPartial differential equationsen
dc.subjectSurfacesen
dc.titleA volume-based method for denoising on curved surfacesen
dc.typeConference Paperen
dc.identifier.journal2013 IEEE International Conference on Image Processingen
dc.contributor.institutionDouble Negative Visual Effects, London, United Kingdomen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.