Fast automatic knot placement method for accurate B-spline curve fitting

R Yeh, YSG Nashed, T Peterka, X Tricoche - Computer-aided design, 2020 - Elsevier
The choice of knot vector has immense influence on the resulting accuracy of a B-spline
approximation of a curve. However, despite the significance of this problem and the various …

Dynamic tensor recommender systems

Y Zhang, X Bi, N Tang, A Qu - Journal of machine learning research, 2021 - jmlr.org
Recommender systems have been extensively used by the entertainment industry, business
marketing and the biomedical industry. In addition to its capacity of providing preference …

Knot calculation for spline fitting via sparse optimization

H Kang, F Chen, Y Li, J Deng, Z Yang - Computer-Aided Design, 2015 - Elsevier
Curve fitting with splines is a fundamental problem in computer-aided design and
engineering. However, how to choose the number of knots and how to place the knots in …

Selecting the right number of knots for B-spline parameterization of the dielectric functions in spectroscopic ellipsometry data analysis

DV Likhachev - Thin Solid Films, 2017 - Elsevier
B-spline representation of the dielectric functions provides many theoretical and practical
benefits for material modeling in spectroscopic ellipsometry. However, the number of knots …

Nonlinear curve fitting to stopping power data using RBF neural networks

MM Li, B Verma - Expert Systems with Applications, 2016 - Elsevier
This paper presents a novel approach for fitting experimental stopping power data to a
simple empirical formula. The unknown complex nonlinear stopping power function is …

Reconstruction of B-spline curves and surfaces by adaptive group testing

AN Ravari, HD Taghirad - Computer-Aided Design, 2016 - Elsevier
Point clouds as measurements of 3D sensors have many applications in various fields such
as object modeling, environment mapping and surface representation. Storage and …

Adaptive nonparametric density estimation with b-spline bases

Y Zhao, M Zhang, Q Ni, X Wang - Mathematics, 2023 - mdpi.com
Learning density estimation is important in probabilistic modeling and reasoning with
uncertainty. Since B-spline basis functions are piecewise polynomials with local support …

Dynamic estimation of specific fluxes in metabolic networks using non-linear dynamic optimization

D Vercammen, F Logist, JV Impe - BMC systems biology, 2014 - Springer
Background Metabolic network models describing the biochemical reaction network and
material fluxes inside microorganisms open interesting routes for the model-based …

Minimum-time optimal control for vehicles with active rear-axle steering, transfer case and variable parameters

T Sedlacek, D Odenthal, D Wollherr - Vehicle system dynamics, 2021 - Taylor & Francis
When aiming to improve the performance of industrial sports cars at the limits of driving
dynamics, the passive vehicle setup should be tuned under consideration of the actuator …

Knot calculation for spline fitting based on the unimodality property

J Luo, H Kang, Z Yang - Computer Aided Geometric Design, 2019 - Elsevier
Determining the knot number and location is the most challenging problem in spline fitting.
In this paper, we proposed a two-stage framework for calculating knots in spline fitting based …