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Spatial resolution enhancement using deep learning improves chest disease diagnosis based on thick slice CT. [PDF]
NPJ Digit MedYu P +23 more
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Revealing new depths of information with indentation mapping of microstructures. [PDF]
MRS BullRossi E +4 more
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Monotone Piecewise Bicubic Interpolation
SIAM Journal on Numerical Analysis, 1980Given a set of monotone data values arranged over a rectangular grid, the authors present an algorithm that produces a \({\mathcal C}^ 1\) piecewise bicubic function which interpolates to the given data and which is monotone. Some sufficient conditions for monotonicity are translated to a system of linear inequalities, which is the basis of the ...
Fritsch, F. N., Carlson, R. E.
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Natural bicubic spline fractal interpolation
Nonlinear Analysis: Theory, Methods & Applications, 2008This paper starts with fractal interpolation functions based on univariate natural cubic splines, which are then used to construct surfaces by tensor products and Boolean sums. The convergence of these methods is also considered. Reviewer's remark: It should be noted that the error bound (2.15) quoted from \textit{C. A. Hall} and \textit{W. W.
Chand, A. K. B., Navascués, M. A.
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Improvements On Bicubic Image Interpolation
2019 IEEE 4th Advanced Information Technology, Electronic and Automation Control Conference (IAEAC), 2019Bicubic algorithm has the advantages of more accurate image magnification and faster processing speed. Nowadays, bicubic amplification technology is adopted in many image processing software, such as Adobe, printer driver, etc. In this paper, an improved bicubic interpolation algorithm is proposed.
Yingmin Li, Feifei Qi, Yi Wan
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An Algorithm for Monotone Piecewise Bicubic Interpolation
SIAM Journal on Numerical Analysis, 1989This paper describes an algorithm for monotone interpolation to monotone data on a rectangular mesh by piecewise bicubic functions. In an earlier paper of the authors [ibid. 22, 386-400 (1985; Zbl 0571.65005)] sufficient conditions for monotone Hermite interpolation were obtained.
Carlson, R. E., Fritsch, F. N.
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Bicubic spline-interpolation in polar coordinates
USSR Computational Mathematics and Mathematical Physics, 1978Abstract THE PROBLEM of constructing a bicubic interpolation spline in a circle in polar coordinates is considered. The representation of the spline in terms of β-splines is used. The pole of the domain is excluded from the partition.
Vasil'ev, M. G., Yuferev, V. S.
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Natural Cubic and Bicubic Spline Interpolation
SIAM Journal on Numerical Analysis, 1973An alternate proof is presented of Kershaw’s result that the $L_\infty $-norm of the error in natural spline interpolation to a function $f \in C^4 [a,b]$ is $O(h^4 )$ in a closed subinterval which is asymptotic to $[a,b]$ as $h \to 0$. The case $f \in C^m [a,b],m = 2$ or 3, is also considered.
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Speedup of Bicubic Spline Interpolation
2018The paper seeks to introduce a new algorithm for computation of interpolating spline surfaces over non-uniform grids with \(C^2\) class continuity, generalizing a recently proposed approach for uniform grids originally based on a special approximation property between biquartic and bicubic polynomials.
Viliam Kačala, Csaba Török
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Monotonicity preserving bicubic interpolation: A progress report
Computer Aided Geometric Design, 1985In this paper are considered some data \(f_{ij}=f(x_ i,y_ j)\) on a rectangular mesh: \(x_ ...
Fritsch, F. N., Carlson, R. E.
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