Document Type
Article
Publication Date
4-1-2004
Publication Title
IEEE Transactions on Signal Processing
Abstract
A new type of algebraic spline is used to derive a filter for smoothing or interpolating discrete data points. The spline is dependent on control parameters that specify the relative importance of data fitting and the derivatives of the spline. A general spline of arbitrary order is first formulated using matrix equations. We then focus on eighth-order splines because of the continuity of their first three derivatives (desirable for motor and robotics applications). The spline's matrix equations are rewritten to give a recursive filter that can be implemented in real time for lengthy data sequences. The filter is lowpass with a bandwidth that is dependent on the spline's control parameters. Numerical results, including a simple image processing application, show the tradeoffs that can be achieved using the algebraic splines.
Repository Citation
Simon, Daniel J., "Data Smoothing and Interpolation Using Eighth-Order Algebraic Splines" (2004). Electrical and Computer Engineering Faculty Publications. 19.
https://engagedscholarship.csuohio.edu/enece_facpub/19
Original Citation
Simon, D.; , "Data smoothing and interpolation using eighth-order algebraic splines," Signal Processing, IEEE Transactions on , vol.52, no.4, pp. 1136- 1144, April 2004 doi: 10.1109/TSP.2004.823489
DOI
10.1109/tsp.2004.823489
Version
Postprint
Publisher's Statement
© 2004 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Volume
52
Issue
4
Included in
Electrical and Computer Engineering Commons, Systems Engineering and Multidisciplinary Design Optimization Commons
