CUBIC SPLINES IN THE GRASSMANN MANIFOLD GENERATED BY THE DE CASTELJAU ALGORITHM

Pina, Fátima

http://hdl.handle.net/10400.26/50393

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Pina, Fátima

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We present a detailed analysis of the De Casteljau algorithm to gen erate cubic polynomials satisfying certain boundary conditions in the Grassmann manifold, and extend this approach to produce cubic splines that also solve inter polation problems on that manifold.

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Cubic splines Casteljau algorithm geodesics Grassmann manifold interpolating curves

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http://hdl.handle.net/10400.26/50393

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CUBIC SPLINES IN THE GRASSMANN MANIFOLD GENERATED BY THE DE CASTELJAU ALGORITHM

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