RIAS: Repeated Invertible Averaging for Surface Multiresolution of Arbitrary Degree

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dc.contributor.authorAlderson, Troy F.
dc.contributor.authorMahdavi-Amiri, Ali
dc.contributor.authorSamavati, Faramarz
dc.date.accessioned2020-10-26T14:59:54Z
dc.date.available2020-10-26T14:59:54Z
dc.date.issued2020-02-11
dc.description.abstractIn this paper, we introduce two local surface averaging operators with local inverses and use them to devise a method for surface multi-resolution (subdivision and reverse subdivision) of arbitrary degree. Similar to previous works by Stam, Zorin, and Schröder that achieved forward subdivision only, our averaging operators involve only direct neighbours of a vertex, and can be configured to generalize B-Spline multi-resolution to arbitrary topology surfaces. Our subdivision surfaces are hence able to exhibit Cd continuity at regular vertices (for arbitrary values of d) and appear to exhibit C1 continuity at extraordinary vertices. Smooth reverse and non-uniform subdivisions are additionally supported.en_US
dc.description.grantingagencyNatural Sciences and Engineering Research Council (NSERC)en_US
dc.identifier.citationAlderson, T. F., Mahdavi-Amiri, A., & Samavati, F. (2015). RIAS: Repeated Invertible Averaging for Surface Multiresolution of Arbitrary Degree. "Journal of latex Class Files", 14(8), August 2015. pp. 1-13. http://dx.doi.org/10.1109/TVCG.2020.2972877en_US
dc.identifier.doihttp://dx.doi.org/10.1109/TVCG.2020.2972877en_US
dc.identifier.urihttp://hdl.handle.net/1880/112705
dc.identifier.urihttps://doi.org/10.11575/PRISM/46107
dc.publisher.departmentComputer Scienceen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.rightsUnless otherwise indicated, this material is protected by copyright and has been made available with authorization from the copyright owner. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.titleRIAS: Repeated Invertible Averaging for Surface Multiresolution of Arbitrary Degreeen_US
dc.typejournal articleen_US
ucalgary.item.requestcopytrueen_US
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