Critical length for design purposes and extended Chebyshev spaces
The authors analyze the connection between classes of spaces generated by a basis designed for different purposes. These include spaces generated by an extended Chebyshev basis, designed for Hermite interpolation; B-basis, for shape preserving properties; totally positive-basis; Bernstein basis; normalized basis; bicanonical basis; etc. Attention is paid to uses of the spaces for geometric design and modeling as well as for design purposes. An interesting example is presented of the space with the blended basis \(\{ 1, t, t^2 , \sin t, \cos t \}\).
scientific article; zbMATH DE number 2101900
scientific article