Image inpainting based on bivariate interpolation by continued fractions

Li, Shengfeng; Xie, Junshan; Song, Lixin; Dong, Yi

doi:10.1109/csae.2012.6272876

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2019

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“…For m = 2, n = 3, taking into account the truncated Thiele-Newton's blending expansion R f 1 m,n (x, y) of R f 1 (x, y) expressed by the above Equation (31), one can have:…”

Section: Numerical Experimentsmentioning

confidence: 99%

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Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function

Dong

2019

Mathematics

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In this paper, Thiele–Newton’s blending expansion of a bivariate function is firstly suggested by means of combining Thiele’s continued fraction in one variable with Taylor’s polynomial expansion in another variable. Then, the Viscovatov-like algorithm is given for the computations of the coefficients of this rational expansion. Finally, a numerical experiment is presented to illustrate the practicability of the suggested algorithm. Henceforth, the Viscovatov-like algorithm has been considered as the imperative generalization to find out the coefficients of Thiele–Newton’s blending expansion of a bivariate function.

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“…For m = 2, n = 3, taking into account the truncated Thiele-Newton's blending expansion R f 1 m,n (x, y) of R f 1 (x, y) expressed by the above Equation (31), one can have:…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…This book has played an important role in promoting some modern research about the continued fraction. Furthermore, there are a few works and references about the application of the continued fraction in image processing, such as the literature of Hu and Tan [29,30], Li et al [31].…”

Section: Introductionmentioning

confidence: 99%

Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function

Dong

2019

Mathematics

Self Cite

View full text Add to dashboard Cite

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Image inpainting based on bivariate interpolation by continued fractions

Cited by 1 publication

References 16 publications

Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function

Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function

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