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As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explain

This volume reports a series of research investigations concerned with spline functions and approximation theory. The common thread of the studies derives from

This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting

Proceedings of the NATO Advanced Study Institute, Calgary, Canada, August 26-September 2, 1978