Biomedical Imaging GroupSTI
English only   BIG > Publications > Derivative Sampling

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

Optimal Spline Generators for Derivative Sampling

S. Aziznejad, A. Naderi, M. Unser

Proceedings of the Thirteenth International Conference on Sampling Theory and Applications (SampTA'19), Bordeaux, French Republic, July 8-12, 2019, pp. 1-4.

The goal of derivative sampling is to reconstruct a signal from the samples of the function and of its first-order derivative. In this paper, we consider this problem over a shift-invariant reconstruction subspace generated by two compact-support functions. We assume that the reconstruction subspace reproduces polynomials up to a certain degree. We then derive a lower bound on the sum of supports of its generators. Finally, we illustrate the tightness of our bound with some examples.

AUTHOR="Aziznejad, S. and Naderi, A. and Unser, M.",
TITLE="Optimal Spline Generators for Derivative Sampling",
BOOKTITLE="Proceedings of the Thirteenth International Workshop on
        Sampling Theory and Applications ({SampTA'19})",
address="Bordeaux, French Republic",
month="July 8-12,",

© 2019 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.