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2015 | OriginalPaper | Chapter

Localized Band-Limited Representation and Robust Interpolative Image Manipulation

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Abstract

In this chapter, we describe an image representation framework based on which a robust, nonparametric interpolation method for filling in “missing” information of an image can be performed. As in an earlier work, this approach utilizes a class of localized band-limited functions that are compact in both image and frequency domains. However, the current algorithm may be carried without a statistical classifier such as a K-means algorithm, which was employed in our previous work. After a brief description of our approach, results are given to show its efficacy in a few use cases.

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Literature
1.
go back to reference Landau, H.J., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty - ii. Bell Syst. Tech. J. 40: 65–84 (1961) Landau, H.J., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty - ii. Bell Syst. Tech. J. 40: 65–84 (1961)
2.
go back to reference Landau, H.J., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty - iii: the dimension of space of essentially time and band-limited signals. Bell Syst. Tech. J. 41: 1295–1336 (1962) Landau, H.J., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty - iii: the dimension of space of essentially time and band-limited signals. Bell Syst. Tech. J. 41: 1295–1336 (1962)
3.
go back to reference Osipov, A., Rokhlin, V., Xiao, H.: Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation. Springer , New York(2013) Osipov, A., Rokhlin, V., Xiao, H.: Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation. Springer , New York(2013)
4.
go back to reference Slepian, D., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty - i. Bell Syst. Tech. J. 40: 43–63 (1961) Slepian, D., Pollak, H.O.: Prolate spheroidal wave functions, Fourier analysis, and uncertainty - i. Bell Syst. Tech. J. 40: 43–63 (1961)
5.
go back to reference Wilson, R., Xiao, H.: Image interpolation based on the prolate spheroidal sequences. Proc. 7th IMA Conference on Mathematics in Signal Processing, Cirencester, United Kingdom (2006) Wilson, R., Xiao, H.: Image interpolation based on the prolate spheroidal sequences. Proc. 7th IMA Conference on Mathematics in Signal Processing, Cirencester, United Kingdom (2006)
6.
go back to reference Xiao, H., Rokhlin, V., Yarvin, N.: Prolate spheroidal wave functions, quadrature and interpolation. Inverse Probl. 17,: 805–838 (2001)MATHMathSciNetCrossRef Xiao, H., Rokhlin, V., Yarvin, N.: Prolate spheroidal wave functions, quadrature and interpolation. Inverse Probl. 17,: 805–838 (2001)MATHMathSciNetCrossRef
Metadata
Title
Localized Band-Limited Representation and Robust Interpolative Image Manipulation
Authors
H. Xiao
M. C. Gonzalez
N. Fugate
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-12307-3_74

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