Results 161 to 170 of about 9,001 (205)
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IMA Journal of Numerical Analysis, 1984
A cubic X-spline with knots \(\{x_ i\}^ N_{i=0}\) and parameter vector \(\{c_ i\}\) is a function \(s\in C^ 1[a,b]\) if \[ (i)\quad s(x)\text{ is a cubic on each } [x_{i-1},x_ i], \] \[ (ii)\quad s'(a)=[s(x_ 1)-s(x_ 0)]/h_ 1\text{ and } s'(b)=[s(x_ N)-s(x_{N- 1})]/h_ n, \] and \[ (iii)\quad s^{(2)}(x_ i+)-s^{(2)}(x_ i- )=(c_ ih_{i+1}/3)[s^{(3)}(x_ i ...
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A cubic X-spline with knots \(\{x_ i\}^ N_{i=0}\) and parameter vector \(\{c_ i\}\) is a function \(s\in C^ 1[a,b]\) if \[ (i)\quad s(x)\text{ is a cubic on each } [x_{i-1},x_ i], \] \[ (ii)\quad s'(a)=[s(x_ 1)-s(x_ 0)]/h_ 1\text{ and } s'(b)=[s(x_ N)-s(x_{N- 1})]/h_ n, \] and \[ (iii)\quad s^{(2)}(x_ i+)-s^{(2)}(x_ i- )=(c_ ih_{i+1}/3)[s^{(3)}(x_ i ...
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Isophote estimation by cubic-spline interpolation
Proceedings. International Conference on Image Processing, 2003We apply the cubic-spline interpolation to estimate isophotes from sparsely sampled digital images. For any non-pixel, we interpolate it by cubic spline, and by solving the yielding cubic function analytically, we find positions of pixels with the same intensity value. Experiment results are given and discussed. This spreads some important light on the
Qing Wang 0048 +2 more
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An Animation Engine with the Cubic Spline Interpolation
2008 International Conference on Intelligent Information Hiding and Multimedia Signal Processing, 2008We present a novel and efficient local spline interpolation algorithm and apply it into our application of key frame based 2D animation. Unlike global algorithms which need to solve a linear system every time a vertex is moved, our method performs a constant number of iteration that affects only a small number of control points over time. Therefore the
Ningping Sun +2 more
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End Conditions for Cubic Spline Interpolation
IMA Journal of Applied Mathematics, 1979355
Behforooz, G. H. +3 more
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An Improved Approach to the Cubic-Spline Interpolation
2018 25th IEEE International Conference on Image Processing (ICIP), 2018Cubic-spline interpolation (CSI) scheme is known to resample the discrete image data based on the least-square method with the cubic convolution interpolation (CCI) function. It is superior in performance to other interpolation functions for digital image processing.
Shaohua Hong +2 more
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A REINTERPRETATION OF EMD BY CUBIC SPLINE INTERPOLATION
Advances in Adaptive Data Analysis, 2011Empirical mode decomposition (EMD) is a data-driven technique that decomposes a signal into several zero-mean oscillatory waveforms according to the levels of oscillation. Most of the studies on EMD have focused on its use as an empirical tool. Recently, Rilling and Flandrin, [2008] studied theoretical aspects of EMD with extensive simulations, which ...
Minjeong Park, Donghoh Kim, Hee-Seok Oh
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Cubic B-Spline Interpolation and Realization
2011The word “spline” originates from the tool which the project cartography personnel to use in order to connects destination to a light fair curve, namely elastic scantling or thin steel bar. The curve by such spline has the continual slope and curvature in the function. The interpolation which partial and low order polynomial has certainly smooth in the
Zhijiang Wang, Kaili Wang, Shujiang An
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Novel Approaches to the Parametric Cubic-Spline Interpolation
IEEE Transactions on Image Processing, 2013The cubic-spline interpolation (CSI) scheme can be utilized to obtain a better quality reconstructed image. It is based on the least-squares method with cubic convolution interpolation (CCI) function. Within the parametric CSI scheme, it is difficult to determine the optimal parameter for various target images.
Hong, Shao-Hua +4 more
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Stepsize Control for Cubic Spline Interpolation
International Journal of Applied and Computational Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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IEEE Instrumentation & Measurement Magazine, 2001
The need to interpolate is widespread, and the approaches to interpolation are just as widely varied. For example, sampling a signal via a sample and-hold circuit at uniform, T-second intervals produces an output signal that is a piecewise-constant (or zero-order) interpolation of the signal samples.
S.A. Dyer, J.S. Dyer
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The need to interpolate is widespread, and the approaches to interpolation are just as widely varied. For example, sampling a signal via a sample and-hold circuit at uniform, T-second intervals produces an output signal that is a piecewise-constant (or zero-order) interpolation of the signal samples.
S.A. Dyer, J.S. Dyer
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