Explain the reason why it is convenient to represent the bicubic spline in the form [operatorname{spline}(K, T)=sum_{i=1}^{p}
Question:
Explain the reason why it is convenient to represent the bicubic spline in the form
\[\operatorname{spline}(K, T)=\sum_{i=1}^{p} \sum_{j=1}^{q} c_{i j} M_{i}(K) N_{j}(T)\]
where \(M_{i}(K), i=1, \ldots, p, N_{j}(T)\), and \(j=1, \ldots, q\) are normalized \(B\)-splines instead of
\[\operatorname{spline}(K, T)=\sum_{i=0}^{3} \sum_{j=0}^{3} a_{i j} K^{i} T^{j}\]
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Quantitative Finance
ISBN: 9781118629956
1st Edition
Authors: Maria Cristina Mariani, Ionut Florescu
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