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 parameters w i, representing the predistorter or equalizer coefficients (cf. (16)), are basis functions of a Volterra series (of the form of Equation 5) in which the input and output have been interchanged to describe the postdistorter function.
The key technique is to relate spatial fuzzy basis functions of a 3-D FLC to kernel functions of a SVR and construct an equivalence relationship of a 3-D FLC and a SVR.
If a knot appears i times, the continuity of a NURBS basis function of degree p at that knot is C p - i.
The Gaussian radial basis function is rejected as the radial basis function of choice, due to uncertainty regarding an appropriate value for the spread constant.
For instance, if en are any orthonormal basis functions of L2[0,1], then a given function in L2[0,1] can be approximated as a finite linear combination :f(x) \approx f_n (x) = a_1 e_1 (x) + a_2 e_2(x) + \cdots + a_n e_n (x).
Motivated by the advantages of ridge basis function representation of a given function, such as the connection to neural network, fast convergence as the number of terms is increased, better approximation effects and various applications in engineering problems, a meshless method is developed based on the collocation method and ridge basis function interpolation.
Database URL: http://bo-protscience.fr/dosa/ Protein structure comparison is an important step in improving our understanding of the mechanistic basis of function of a protein.
This kind of averaging can be implemented by a biologically plausible radial basis function network comprised of an input, an output and a hidden layer which learns a smooth function to interpolate novel views between stored views [15].
A B-spline basis function is a piecewise function of polynomials of equal degree on its support interval.
