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Parametric Spline for Surfaces
Standard approach: Tensor product of polynomials
Curve
\(\displaystyle c(s) = \sum_k b_k(s)\;p_k\)
Surface
\(\displaystyle S(u,v) = \sum_i \sum_j b_i(u)\,b_k(v)\;p_{ij}\)
29/45
Standard approach: Tensor product of polynomials
Curve
\(\displaystyle c(s) = \sum_k b_k(s)\;p_k\)
Surface
\(\displaystyle S(u,v) = \sum_i \sum_j b_i(u)\,b_k(v)\;p_{ij}\)