10 citations · 17 across the 5 of their papers we have counts for
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A Muntz Type Theorem for a Family of Corner Cutting Schemes
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
By identifying a family of corner cutting schemes as a dimension elevation process of Gelfond-Bezier curves, we give a Muntz type condition for the convergence of the generated con…
Gelfond-Bezier Curves
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
We show that the generalized Bernstein bases in Muntz spaces defined by Hirschman and Widder [7] and extended by Gelfond [6] can be obtained as limits of the Chebyshev-Bernstein ba…
Chebyshev Blossom in Muntz Spaces: Toward Shaping with Young Diagrams
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
The notion of blossom in extended Chebyshev spaces offers adequate generalizations and extra-utilities to the tools for free-form design schemes. Unfortunately, such advantages are…