Abstract
In this chapter, we give the basic properties of the discrete box spline, in close analogy to those of the (continuous) box spline discussed in Chapter I. This includes facts about the structure of the discrete box spline, as well as the characterization of global and local linear independence. This gives us a chance to stress the perhaps surprising connection between box splines and linear diophantine equations.
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© 1993 Springer Science+Business Media New York
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de Boor, C., Höllig, K., Riemenschneider, S. (1993). Discrete box splines & linear diophantine equations. In: Box Splines. Applied Mathematical Sciences, vol 98. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2244-4_6
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DOI: https://doi.org/10.1007/978-1-4757-2244-4_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2834-4
Online ISBN: 978-1-4757-2244-4
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