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Note on the Oslo algorithm - MaRDI portal

Note on the Oslo algorithm (Q1116634)

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scientific article; zbMATH DE number 4090669
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English
Note on the Oslo algorithm
scientific article; zbMATH DE number 4090669

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    Note on the Oslo algorithm (English)
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    1988
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    This paper is concerned with the simplification of the well-known Oslo algorithm [cf. \textit{E. Cohen}, the author and \textit{R. Riesenfeld}, Comput. Graph. Image Process., 14, 87-111 (1980)] for updating the B- spline representation of a curve or tensor product surface when additional knots are included. A recurrence relation for discrete B- splines is established. Then a discrete version of Marsden's identity is derived. As a consequence, the dual linear functionals give the connection between discrete B-splines and knot insertion.
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    Oslo algorithm
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    tensor product surface
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    recurrence relation
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    discrete B- splines
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    knot insertion
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