NDLI: Sampling piecewise smooth signals and its application to image up-sampling

Content Provider	IEEE Xplore Digital Library
Author	Xiaoyao Wei Dragotti, P.L.
Copyright Year	2015
Description	Author affiliation: Imperial Coll. London, London, UK (Xiaoyao Wei; Dragotti, P.L.)
Abstract	In this paper we consider the problem of sampling piecewise smooth signals. The classical sampling theory is not able to sample them efficiently since the signals are neither bandlimited nor live in a shift-invariant subspace. We propose a sampling scheme which still use the set of samples from a classical sampling set-up with an arbitrary acquisition device but achieves accurate reconstruction by making use of the non-linear approximate FRI reconstruction method in addition to the classical linear reconstruction. Specifically, we see the class of piecewise smooth signal as the sum of a piecewise polynomial, which is a signal that is fully specified by finite number of parameters and can be recovered with FRI non-linear methods, and a globally smooth term, which can be accurately recovered by linear reconstruction. We also show that our proposed scheme based on combining linear and non-linear reconstruction methods can be employed for resolution enhancement of discrete-time piece-wise smooth signals and images.
Starting Page	4293
Ending Page	4297
File Size	1284256
Page Count	5
File Format	PDF
e-ISBN	9781479983391
DOI	10.1109/ICIP.2015.7351616
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-09-27
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image reconstruction Polynomials Kernel Signal resolution Approximation methods Reconstruction algorithms Image resolution
Content Type	Text
Resource Type	Article

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