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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 20 — Jul. 10, 2003
  • pp: 4166–4175

Boundary effect free and adaptive discrete signal sinc-interpolation algorithms for signal and image resampling

L. Yaroslavsky  »View Author Affiliations


Applied Optics, Vol. 42, Issue 20, pp. 4166-4175 (2003)
http://dx.doi.org/10.1364/AO.42.004166


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Abstract

The problem of digital signal and image resampling with discrete sinc interpolation is addressed. Discrete sinc interpolation is theoretically the best one among the digital convolution-based signal resampling methods because it does not distort the signal as defined by its samples and is completely reversible. However, sinc interpolation is frequently not considered in applications because it suffers from boundary effects, tends to produce signal oscillations at the image edges, and has relatively high computational complexity when irregular signal resampling is required. A solution that enables the elimination of these limitations of the discrete sinc interpolation is suggested. Two flexible and computationally efficient algorithms for boundary effects free and adaptive discrete sinc interpolation are presented: frame-wise (global) sinc interpolation in the discrete cosine transform (DCT) domain and local adaptive sinc interpolation in the DCT domain of a sliding window. The latter offers options not available with other interpolation methods: interpolation with simultaneous signal restoration/enhancement and adaptive interpolation with super resolution.

© 2003 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(110.6980) Imaging systems : Transforms

History
Original Manuscript: April 8, 2003
Published: July 10, 2003

Citation
L. Yaroslavsky, "Boundary effect free and adaptive discrete signal sinc-interpolation algorithms for signal and image resampling," Appl. Opt. 42, 4166-4175 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-20-4166

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