Spline Convolution for Digital Image Processing
Sigmar Ries · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1986
The sampling and reconstruction error that arises if a (not necessarily bandlimited) scene is reconstructed by a discrete convolution is estimated in the L∞ and L2 norms, including the effect of sample-scene phasing. General conditions on the underlying filter are presented which allow to control this error in both norms. Several types of reconstruction filters are constructed on base of this approach, and spline convolution of arbitrary order serves as a typical application.