Math 2.0

Approximations and expansions Splines Concept

Box spline

Summary

A box spline is a piecewise polynomial function of several variables obtained by projecting a unit cube of higher dimension onto ℝd\R^d. Its value at a point is the volume of the slice of the cube that lands at that point. Box splines generalize the uniform B-splines to several variables, and their integer translates give smooth spline spaces on regular grids and triangulations.

Further reading

  1. Web https://en.wikipedia.org/wiki/Box_spline
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