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Title: Diagrammatic Tools for Generating Biothogonal Multiresolutions
Authors: Samavati, Faramarz
Bartels, Richard
Keywords: Computer Science
Issue Date: 22-Oct-2003
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.
Appears in Collections:Samavati, Faramarz

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