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A Certified Cubic B-Spline Interpolation Method with Tangential Direction Constraints
Curve interpolation with B-spline is widely used in various areas. This problem is classic and recently raised in application scenario with new...
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U-shaped link of health checkup data and need for care using a time-dependent cox regression model with a restricted cubic spline
We explored risk indicators likely to result in older adults needing certified long-term care in Japan and ascertained whether this relationship...
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Clipped seismic record recovery analysis based on the cubic spline interpolation algorithm
The clip** of near-field seismic waveforms caused by instrument limitations results in the waste of lots of waveforms and hinders the effective...
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Analysis of correlation between BMI and TWL% outcome following metabolic and bariatric surgery: a retrospective study using restricted cubic spline
ObjectiveThis study aimed to examine the correlation between preoperative body mass index (BMI) and adequate percentage of total weight loss (TWL%)...
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Analysis of Correlation between Age and Satisfied Total Weight Loss Percentage Outcome at 1 Year after Bariatric Surgery using the Restricted Cubic Spline Function: A Retrospective Study in China
ObjectiveThis study aims to explore the relationship between age and whether the percentage of total weight loss (TWL%) is ≥ 25% or not at 1 year...
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High Order Predictor–Corrector Cubic B-Spline Collocation Method for Modeling Solitary Waves
A collocation method with an approximate function consisting of a combination of cubic B-spline functions was established to solve the regularized...
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Evidence-based medication adherence among seniors in the first year after heart failure hospitalisation and subsequent long-term outcomes: a restricted cubic spline analysis of adherence-outcome relationships
PurposeNon-adherence to heart failure (HF) medications is associated with poor outcomes. We used restricted cubic splines (RCS) to assess the...
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Adapting non-parametric spline representations of outdoor air pollution health effects associations for use in public health benefits assessment
The magnitude and shape of the association between outdoor air pollution concentrations and health need to be characterized in order to estimate...
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An approximation of mass attenuation coefficients of Li2O–Fe2O3–In2O3–Bi2O3-P2O5 glasses using cubic spline and Akima interpolation
In order to expand the range of techniques used to explore the efficiency of gamma ray shielding materials, the feasibility of cubic spline and Akima...
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The relationship between ventilatory ratio (VR) and 28-day hospital mortality by restricted cubic splines (RCS) in 14,328 mechanically ventilated ICU patients
BackgroundPrevious studies found that high levels of ventilatory ratio (VR) were associated with a poor prognosis due to worse ventilatory efficiency...
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Rational quadratic trigonometric spline fractal interpolation functions with variable scalings
Fractal interpolation function (FIF) constructed through an iterated function system is more versatile than any classical spline interpolation. In...
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Positivity Preserving Rational Quartic Spline Zipper Fractal Interpolation Functions
In this paper, we introduce a class of novel \(C^1\)...
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Persistence B-spline grids: stable vector representation of persistence diagrams based on data fitting
Many attempts have been made in recent decades to integrate machine learning (ML) and topological data analysis. A prominent problem in applying...
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Low-dose CBCT reconstruction via joint non-local total variation denoising and cubic B-spline interpolation
This study develops an improved Feldkamp–Davis–Kress (FDK) reconstruction algorithm using non-local total variation (NLTV) denoising and a cubic...
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Shape Detection Using Semi-Parametric Shape-Restricted Mixed Effects Regression Spline with Applications
Linear models are widely used in the field of epidemiology to model the relationship between placental-fetal hormone and fetal/infant outcome. When a...
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A contact method for B-spline material point method with application in impact and penetration problems
A novel contact algorithm for the B-spline material point method (referred to as cBSMPM) is proposed to address impact and penetration problems. The...
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The Unimodality of Initial B-Spline Approximations in Spline Fitting
Finding optimal knots is a challenging problem in spline fitting due to a lack of prior knowledge regarding optimal knots. The unimodality of initial...
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Mediation Analysis using Semi-parametric Shape-Restricted Regression with Applications
Often linear regression is used to estimate mediation effects. In many instances the underlying relationships may not be linear. Although, the exact...
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Spline estimation of functional principal components via manifold conjugate gradient algorithm
Functional principal component analysis has become the most important dimension reduction technique in functional data analysis. Based on B-spline...
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Control point reduction for lofted B-spline surface interpolation based on serial closed contours
Modern shape design and capture techniques usually present geometric data in serial rows of data points, where the number of data points varies from...
