22 March 1999 Optimal approximation-interpolation sampling systems: relation to wavelets and image coding
Author Affiliations +
Abstract
In this paper, we present closed form expressions for filters in multidimensional interpolation and approximation sampling systems matched to the input random field or image class in the mean squared sense. We then present expression for the mean squared error between the reconstructed and the input field. For the approximation sampling system we use this expression to show that the optimal antialiasing and reconstruction filters are spectral factors or an ideal brickwall-type of a filter. Finally, we give examples of filters matched to an image class generated using a spearable AR model and a quincunx sampling lattice and compare their performance with that of some standard interpolators.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ajit S. Bopardikar, Ajit S. Bopardikar, Raghuveer M. Rao, Raghuveer M. Rao, "Optimal approximation-interpolation sampling systems: relation to wavelets and image coding", Proc. SPIE 3723, Wavelet Applications VI, (22 March 1999); doi: 10.1117/12.342952; https://doi.org/10.1117/12.342952
PROCEEDINGS
11 PAGES


SHARE
Back to Top