Beispiel #1
0
// Old implementation of Jacobian
DenseMatrix BSplineBasis::evalBasisJacobianOld(DenseVector &x) const
{
    // Jacobian basis matrix
    DenseMatrix J; J.setZero(getNumBasisFunctions(), numVariables);

    // Calculate partial derivatives
    for (unsigned int i = 0; i < numVariables; i++)
    {
        // One column in basis jacobian
        DenseVector bi; bi.setOnes(1);
        for (unsigned int j = 0; j < numVariables; j++)
        {
            DenseVector temp = bi;
            DenseVector xi;
            if (j == i)
            {
                // Differentiated basis
                xi = bases.at(j).evaluateFirstDerivative(x(j));
            }
            else
            {
                // Normal basis
                xi = bases.at(j).evaluate(x(j));
            }

            bi = kroneckerProduct(temp, xi);
        }

        // Fill out column
        J.block(0,i,bi.rows(),1) = bi.block(0,0,bi.rows(),1);
    }

    return J;
}