Results 11 to 20 of about 45,072 (266)
A new structure formulations for cubic B-spline collocation method in three and four-dimensions
Nonlinear 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.
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Journal 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
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Introduction of b-splines to trajectory planning for robot manipulators [PDF]
Modeling, 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
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NUMERICAL SIMULATION OF LID-DRIVEN CAVITY FLOW BY ISOGEOMETRIC ANALYSIS
Acta 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
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Applied and Computational Harmonic Analysis, 2006 Suppose \(z=\alpha+i\gamma\), \(\alpha >-{1\over 2}\), \(\gamma \in {\mathbb R}\). The complex B-spline \(\beta^z\) of complex degree \(z\) is defined in \(L_2({\mathbb R})\) via its Plancherel transform \[ {\hat \beta}^z(\omega)=\left ({1-e^{-i\omega} \over i\omega} \right )^{z+1}=e^{(z+1)\ln w},\quad w={1-e^{-i\omega} \over i\omega}, \] where the ...
Forster, B., Blu, T., Unser, M.
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Regularization of B-spline objects [PDF]
Computer 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
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Finite Element Approximation of Optimal Control Problem with Weighted Extended B-Splines
Mathematics, 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
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A Higher Order B-Splines 1-D Finite Element Analysis of Lossy Dispersive Inhomogeneous Planar Layers [PDF]
AUT Journal of Electrical Engineering, 2017 In this paper we propose an accurate and fast numerical method to obtain scattering fields from lossy dispersive inhomogeneous planar layers for both TE and TM polarizations. A new method is introduced to analyze lossy Inhomogeneous Planar Layers.
A. Hatamkhani, A. Ghorbani
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Journal of Approximation Theory, 1996 The authors define certain combinations of multiquadrics, denoted as \(\Psi\)-splines, and investigate their properties. In particular, the strong analogy between these \(\Psi\)-splines and the usual polynomial B-splines is pointed out at several places.
Beatson, R.K., Dyn, N.
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Computation of the interpolation of two-dimensial splines of 3-th and 5-th orders
Lietuvos 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
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