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Diagrammatic Tools for Generating Biothogonal Multiresolutions

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Author
Samavati, Faramarz
Bartels, Richard
Accessioned
2008-02-26T22:42:13Z
Available
2008-02-26T22:42:13Z
Computerscience
2003-10-22
Issued
2003-10-22
Subject
Computer Science
Type
unknown
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Abstract
In a previous work we introduced a construction designed to produce biorthogonal multiresolutions from given subdivisions. This construction was formulated in matrix terms, which is appropriate for curves and tensor-product surfaces. For mesh surfaces of non-tensor connectivity, however, matrix notation is inconvenient. This work introduces diagrams and diagram interactions to replace matricies and matrix multiplication. The diagrams we use are patterns of value-labeled nodes, one type of diagram corresponding to each row or column of one of the matricies of a biorthogonal system. All types of diagrams used in the construction are defined on a common mesh of the multiresolution.
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We are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at digitize@ucalgary.ca
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University of Calgary
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Science
Doi
http://dx.doi.org/10.11575/PRISM/30989
Uri
http://hdl.handle.net/1880/45613
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