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This paper attempts to make the connection between this decomposition and the basis functions of classical acoustics.
However, in conventional control architectures, the computation of the basis functions of a NURBS curve is very time-consuming due to serial computing constraints.
The second approach defines the interface-conforming degrees of freedom on the subelements as superpositions of the basis functions of the parent element.
A PHT-spline is a piecewise tri-cubic polynomial over a 3D hierarchical T-mesh, the basis functions of which have good properties such as nonnegativity, compact support and partition of unity.
A multi-level spline technique known as partial shape preserving splines (PSPS) (Li and Tian, 2011) has recently been developed for the design of piecewise polynomial freeform geometric surfaces, where the basis functions of the PSPS can be directly built from an arbitrary set of polygons that partitions a giving parametric domain.
The main advantages of the proposed approach are twofold: (1) the controller design is independent of the knowledge of the basis functions of fuzzy logic systems, and (2) the suggested approach requires only m adaptive laws to control a nonlinear time-delay system with m inputs.
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The basis function of wavelets is scaled based on frequency.
This paper presents a state-space hemodynamic model by which any event-related hemodynamic prediction function (i.e., the basis function of the design matrix in the general linear model) is obtained as an output of the model.
The basis function of the corresponding MPs are defined by and.
Second, the basis function of wave atom is different from that of conventional wavelet.
The computation of Zernike moments comprises three main steps, computing the radial polynomial, computing the basis function of Zernike and computing Zernike moments.
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