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- W2524447942 abstract "We present a detailed summary of the main CAGD tools of interest in IgA: Bernstein polynomials and B-splines. Besides their well-known algebraic and geometric properties, we give a deeper insight into why these representations are so popular and efficient by proving that they are optimal bases for the corresponding function spaces. Moreover, we review some generalizations of the B-spline structure in function spaces which extend classical polynomial spaces. Extensions to the bivariate setting beyond the straightforward tensor-product case are discussed as well. In particular, we focus on the triangular setting." @default.
- W2524447942 created "2016-10-07" @default.
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- W2524447942 date "2016-01-01" @default.
- W2524447942 modified "2023-09-25" @default.
- W2524447942 title "Standard and Non-standard CAGD Tools for Isogeometric Analysis: A Tutorial" @default.
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- W2524447942 doi "https://doi.org/10.1007/978-3-319-42309-8_1" @default.
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