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- W2000142013 abstract "Surface artifacts are features in a surface which cannot be avoided by movement of control points. They are present in B-splines, box splines and subdivision surfaces. We showed how the subdivision process can be used as a tool to analyse artifacts in surfaces defined by quadrilateral polyhedra (Sabin et al., 2005; Augsdorfer et al., 2011). In this paper we are utilising the subdivision process to develop a generic expression which can be employed to determine the magnitude of artifacts in surfaces defined by any regular triangular polyhedra. We demonstrate the method by analysing box-splines and regular regions of subdivision surfaces based on triangular meshes: Loop subdivision, Butterfly subdivision and a novel interpolating scheme with two smoothing stages. We compare our results for surfaces defined by triangular polyhedra to those for surfaces defined by quadrilateral polyhedra." @default.
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- W2000142013 date "2011-03-01" @default.
- W2000142013 modified "2023-09-26" @default.
- W2000142013 title "Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra" @default.
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- W2000142013 doi "https://doi.org/10.1016/j.cagd.2011.01.003" @default.
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