On multivariate Lagrange interpolation
Mathematics of Computation
Orthogonality of cardinal B-splines in weighted Sobolev spaces
SIAM Journal on Mathematical Analysis
Vertex location optimisation for improved remeshing
Graphical Models
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We derive Sobolev-type inner products with respect to which hat functions on arbitrary triangulations of domains in $\mathbb{R}^d$ are orthogonal. Compared with linear interpolation, the resulting approximation schemes yield superior accuracy at little extra cost.