Interpolate Matrix(x,y,z)
Matrix Interpolation.
Description
The Interpolate Matrix(xyz) block interpolates an array of matrices. The array to be interpolated must be five-dimensional: the first two dimensions correspond to rows and columns of matrices, the third, fourth and fifth dimensions correspond to matrix indices in the array. For example, if you want to specify eight matrices of size 2 by 2 , , , , , , and for , , , , , , and respectively, then the value of the Matrix to interpolate parameter is specified as [A; ; ; ; ; B; ; ; ; ; C; ; ; ; ; D; ; ; ; ; ; E; ; ; ; F; ; ; ; ; G; ; ; ; E]. The resulting array has size 2 by 2 by 2 by 2 by 2 by 2 by 2 by 2.
The interpolated matrix is calculated using the formula:
where
In these formulas. - -th array matrix; - interpolation parameters; , , .
Interpolation parameters , и are equal to
Ports
Input
xk - the first index of the matrix
scalar
The first index of the matrix in the array. Indexing starts from zero.
Data types: Float64.
xf - first interpolation parameter
scalar
First interpolation parameter . The parameter takes a value from 0 to 1.
Data types: Float64.
yk - second index of matrix
scalar
The second index of the matrix in the array. Indexing starts from zero.
Data types: Float64.
yf - second interpolation parameter
scalar
Second interpolation parameter . The parameter takes a value from 0 to 1.
Data types: Float64.
zk - third index of matrix
scalar
The third index of the matrix in the array. Indexing starts from zero.
Data types: Float64.
zf - third interpolation parameter
scalar
The third interpolation parameter . The parameter takes a value from 0 to 1.
Data types: Float64.