NDLI: Image reconstruction by convolution with symmetrical piecewise nth-order polynomial kernels

Content Provider	IEEE Xplore Digital Library
Author	Meijering, E.H.W. Zuiderveld, K.J. Viergever, M.A.
Copyright Year	1992
Abstract	The reconstruction of images is an important operation in many applications. From sampling theory, it is well known that the sine-function is the ideal interpolation kernel which, however, cannot be used in practice. In order to be able to obtain an acceptable reconstruction, both in terms of computational speed and mathematical precision, it is required to design a kernel that is of finite extent and resembles the sinc-function as much as possible. In this paper, the applicability of the sine-approximating symmetrical piecewise nth-order polynomial kernels is investigated in satisfying these requirements. After the presentation of the general concept, kernels of first, third, fifth and seventh order are derived. An objective, quantitative evaluation of the reconstruction capabilities of these kernels is obtained by analyzing the spatial and spectral behavior using different measures, and by using them to translate, rotate, and magnify a number of real-life test images. From the experiments, it is concluded that while the improvement of cubic convolution over linear interpolation is significant, the use of higher order polynomials only yields marginal improvement.
Sponsorship	IEEE Signal Processing Society
Starting Page	192
Ending Page	201
Page Count	10
File Size	564407
File Format	PDF
ISSN	10577149
Volume Number	8
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image reconstruction Convolution Polynomials Kernel Interpolation Hardware Image sampling Image analysis Testing
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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