Results 21 to 30 of about 9,653,321 (312)

Introduction of b-splines to trajectory planning for robot manipulators [PDF]

open access: yesModeling, Identification and Control, 1988
This paper describes how B-splines can be used to construct joint trajectories for robot manipulators. The motion is specified by a sequence of Cartesian knots, i.e., positions and orientations of the end effector of a robot manipulator.
Per E. Koch, Kesheng Wang
doaj   +1 more source

Regularization of B-spline objects [PDF]

open access: yesComputer Aided Geometric Design, 2011
By a d-dimensional B-spline object (denoted as ), we mean a B-spline curve (d = 1), a B-spline surface (d = 2) or a B-spline volume (d = 3). By regularization of a B-spline object we mean the process of relocating the control points of such that they approximate an isometric map of its definition domain in certain directions and is shape preserving ...
Guoliang Xu, Chandrajit L. Bajaj
openaire   +2 more sources

Quaternionic B-splines

open access: yesJournal of Approximation Theory, 2017
We introduce B-splines on the line of quaternionic order $B_q$ ($q$ in the algebra of quaternions) for the purposes of multi-channel signal and image analysis. The functions $B_q$ are defined first by their Fourier transforms, then as the solutions of distributional differential equation of quaternionic order.
Jeffrey A. Hogan, Peter Massopust
openaire   +3 more sources

Simultaneous probability statements for Bayesian P-splines [PDF]

open access: yes, 2005
P-splines are a popular approach for fitting nonlinear effects of continuous covariates in semiparametric regression models. Recently, a Bayesian version for P-splines has been developed on the basis of Markov chain Monte Carlo simulation techniques for
Lang, S., Brezger, Andreas, Lang, Stefan
core   +1 more source

Finite Element Approximation of Optimal Control Problem with Weighted Extended B-Splines

open access: yesMathematics, 2019
In this research article, an optimal control problem (OCP) with boundary observations is approximated using finite element method (FEM) with weighted extended B-splines (WEB-splines) as basis functions.
Madiha Sana, Muhammad Mustahsan
doaj   +1 more source

A new structure formulations for cubic B-spline collocation method in three and four-dimensions

open access: yesNonlinear Engineering, 2020
In this work, we introduce a new construct to the cubic B-spline collocation method in the three and four-dimensions. The cubic B-splines method format is displayed in one, two, three, and four-dimensions format.
Raslan K. R., Ali Khalid K.
doaj   +1 more source

Computation of the interpolation of two-dimensial splines of 3-th and 5-th orders

open access: yesLietuvos Matematikos Rinkinys, 1997
Computation of the interpolation of two-dimensial splines of 3-th and 5-th orders, when splines are written as a linear combination of B-splines is discussed. The main attention is focused on the practical aspects of computation.
Kostas Plukas
doaj   +1 more source

NUMERICAL SIMULATION OF LID-DRIVEN CAVITY FLOW BY ISOGEOMETRIC ANALYSIS

open access: yesActa Polytechnica, 2021
In this paper, we present numerical results obtained by an in-house incompressible fluid flow solver based on isogeometric analysis (IgA) for the standard benchmark problem for incompressible fluid flow simulation – lid-driven cavity flow.
Bohumír Bastl   +5 more
doaj   +1 more source

Sliding look-ahead window-based real-time feedrate planning for non-uniform rational B-splines curves

open access: yesAdvances in Mechanical Engineering, 2018
This article presents an online three-axis non-uniform rational B-splines preprocessing and feedrate scheduling method with chord error, axial velocity, acceleration, and jerk limitations.
Jiankang Liu   +3 more
doaj   +1 more source

Complex B-splines [PDF]

open access: yes, 2005
We propose a complex generalization of Schoenberg’s cardinal splines. To this end, we go back to the Fourier domain definition of the B-splines and extend it to complex-valued degrees.
Forster, Brigitte   +5 more
core   +2 more sources

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