A chronology of interpolation: from ancient astronomy to modern signal and image processing
Top Cited Papers
- 7 August 2002
- journal article
- review article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 90 (3) , 319-342
- https://doi.org/10.1109/5.993400
Abstract
This paper presents a chronological overview of the developments in interpolation theory, from the earliest times to the present date. It brings out the connections between the results obtained in different ages, thereby putting the techniques currently used in signal and image processing into historical perspective. A summary of the insights and recommendations that follow from relatively recent theoretical as well as experimental studies concludes the presentation.Keywords
This publication has 234 references indexed in Scilit:
- Multivariate Hermite interpolation by algebraic polynomials: A surveyJournal of Computational and Applied Mathematics, 2000
- A pyramid approach to subpixel registration based on intensityIEEE Transactions on Image Processing, 1998
- The effects of higher-order resampling on AVHRR dataInternational Journal of Remote Sensing, 1995
- Investigation of Image Resampling Effects upon The Textural Information Content of a High Spatial Resolution Remotely Sensed ImageInternational Journal of Remote Sensing, 1994
- Quasi-interpolation with translates of a function having noncompact supportConstructive Approximation, 1992
- A characterization of multivariate quasi-interpolation formulas and its applicationsNumerische Mathematik, 1990
- Two-dimensional spline interpolation for image reconstructionPattern Recognition, 1988
- XXI. A new method of solving numerical equations of all orders, by continuous approximationPhilosophical Transactions of the Royal Society of London, 1819
- VII. Problems concerning interpolationsPhilosophical Transactions of the Royal Society of London, 1779
- III. Methodus differentialis Newtoniana illustrata. authore Jacobo Stirling, è Coll. Balliol. OxonPhilosophical Transactions of the Royal Society of London, 1719