Pina, Fátima2024-03-252024-03-252020http://hdl.handle.net/10400.26/50393We 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.engCubic splinesCasteljau algorithmgeodesicsGrassmann manifoldinterpolating curvesjournal article