Spline Convolution for Digital Image Processing

Sigmar Ries

doi:10.1117/12.952279

9 June 1986 Spline Convolution for Digital Image Processing

Sigmar Ries

Proceedings Volume 0595, Computer Vision for Robots; (1986) https://doi.org/10.1117/12.952279
Event: 1985 International Technical Symposium/Europe, 1985, Cannes, France

Abstract

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.

Citation Download Citation

Sigmar Ries "Spline Convolution for Digital Image Processing", Proc. SPIE 0595, Computer Vision for Robots, (9 June 1986); https://doi.org/10.1117/12.952279

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