quadratic_bezier()

MAYAFLUX_API Eigen::VectorXd MayaFlux::Kinesis::quadratic_bezier	(	const Eigen::MatrixXd &	control_points,
		double	t
	)

Quadratic Bezier interpolation using Eigen matrices.

Parameters

control_points	3xN matrix where columns are control points
t	Parameter in [0,1]

Returns

Interpolated point as Nx1 vector

Definition at line 322 of file MotionCurves.cpp.

{
    if (control_points.cols() != 3) {
        error<std::invalid_argument>(
            Journal::Component::Kinesis,
            Journal::Context::Runtime,
            std::source_location::current(),
            "Quadratic Bezier interpolation requires 3 control points, but got {}",
            control_points.cols());
    }
 
    Eigen::Vector3d t_vector(t * t, t, 1.0);
    Eigen::Vector3d coeffs = BasisMatrices::QUADRATIC_BEZIER * t_vector;
 
    return control_points * coeffs;
}

References MayaFlux::Journal::Kinesis, MayaFlux::Kinesis::BasisMatrices::QUADRATIC_BEZIER, and MayaFlux::Journal::Runtime.

Referenced by interpolate().

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