Sentence examples for basis functions of a from inspiring English sources

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 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.

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.

where u q denotes the q th basis function of a BEM and c q, l ( m, n ) [ j ] the corresponding BEM coefficient.

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).

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.

In the lp-ntPET algorithm, the use of preselected basis functions (a library of functions must be predefined) transforms a nonlinear equation into a series of linear equations one for each basis function.

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.

An RBF comprises a single hidden layer of h neurons which represents a set of basis functions, each of which has a centre located at some point in the input space.

Olshausen and Field [16] proposed to represent a natural image using a small number of basis functions chosen out of an over-complete code set.