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Diagrammatic approach for constructing multiresolution of primal subdivisions
, Article Computer Aided Geometric Design ; Volume 51 , 2017 , Pages 4-29 ; 01678396 (ISSN) ; Mahdavi Amiri, A ; Samavati, F ; Mahdavi Amiri, N ; Sharif University of Technology
Elsevier B.V
2017
Abstract
It is possible to define multiresolution by reversing the process of subdivision. One approach to reverse a subdivision scheme appropriates pure numerical algebraic relations for subdivision using the interaction of diagrams (Bartels and Samavati, 2011; Samavati and Bartels, 2006). However, certain assumptions carried through the available work, two of which we wish to challenge: (1) the construction of multiresolutions for irregular meshes are reconsidered in the presence of any extraordinary vertex rather than being prepared beforehand as simple available relations and (2) the connectivity graph of the coarse mesh would have to be a subgraph of the connectivity graph of the fine mesh. 3...