KAUST DepartmentVisual Computing Center (VCC)
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AbstractDimension elevation process of Gelfond–Bézier curves generates a family of control polygons obtained through a sequence of corner cuttings. We give a Müntz type condition for the convergence of the generated control polygons to the underlying curve. The surprising emergence of the Müntz condition in the problem raises the question of a possible connection between the density questions of nested Chebyshev spaces and the convergence of the corresponding dimension elevation algorithms.
SponsorsThis work was partially supported by the MEXT Global COE project. Osaka University, Japan.
JournalComputer Aided Geometric Design