Deep Learning Parametrization for B-Spline Curve Approximation [PDF]
In this paper we present a method using deep learning to compute parametrizations for B-spline curve approximation. Existing methods consider the computation of parametric values and a knot vector as separate problems.
P. Laube, M. Franz, G. Umlauf
semanticscholar +1 more source
Comparison of selected splines for stem form modeling: A case study in Norway spruce
Natural cubic spline has been frequently used to represent stem forms, with other spline types rarely involved. Splines are a large class of functions and there are many other spline types which might serve that purpose.
Karel Kuželka, Róbert Marušák
doaj +1 more source
A new quintic B-spline approximation for numerical treatment of Boussinesq equation
In this work, we have presented a new quintic B-spline approximation technique for numerical solution of Boussinesq equation. Usual finite difference formulation has been applied to discretize the problem in temporal domain, whereas, the typical fifth ...
Tahir Nazir, M. Abbas, M. K. Iqbal
semanticscholar +1 more source
Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
doaj +1 more source
Two-stage spline-approximation in linear structure routing
In the article, computer design of routes of linear structures is considered as a spline approximation problem. A fundamental feature of the corresponding design tasks is that the plan and longitudinal profile of the route consist of elements of a given ...
D. A. Karpov, V. I. Struchenkov
doaj +1 more source
THB-Spline Approximations for Turbine Blade Design with Local B-Spline Approximations
We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial models. The first stage of the scheme is devoted to the computation of local least squares variational spline approximations, exploiting a simple fairness functional to handle data distributions with a locally ...
C. Bracco +5 more
openaire +2 more sources
Multidimensional Additive Spline Approximation [PDF]
We describe an adaptive procedure that approximates a function of many variables by a sum of (univariate) spline functions $s_m $ of selected linear combinations $a_m \cdot x$ of the coordinates \[ \phi (x) = \sum_{1 \leqq m \leqq M} {s_m ( a_m \cdot x)}.
Friedman, Jerome H. +2 more
openaire +1 more source
Dual Taylor Series, Spline Based Function and Integral Approximation and Applications
In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
doaj +1 more source
The system identification and control of Hammerstein system using non-uniform rational B-spline neural network and particle swarm optimization [PDF]
In this paper a new system identification algorithm is introduced for Hammerstein systems based on observational input/output data. The nonlinear static function in the Hammerstein system is modelled using a non-uniform rational B-spline (NURB) neural ...
Xia Hong +3 more
core +1 more source
The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source

