radial_fan_cubic()

MAYAFLUX_API Eigen::VectorXd MayaFlux::Kinesis::radial_fan_cubic	(	const Eigen::MatrixXd &	control_points,
		double	t,
		double	tension = 0.5
	)

Origin-oriented cubic sweep from tension * (p0 - p1) to p3.

Parameters

control_points	Matrix with four control-point columns.
t	Parameter in [0,1].
tension	Start displacement scale (default 0.5).

Returns

Sampled point. Adjacent four-point windows need not meet.

Definition at line 384 of file MotionCurves.cpp.

{
    if (control_points.cols() != 4) {
        error<std::invalid_argument>(
            Journal::Component::Kinesis,
            Journal::Context::Runtime,
            std::source_location::current(),
            "Radial fan cubic requires 4 control points, but got {}",
            control_points.cols());
    }
 
    const Eigen::Matrix4d basis_matrix = BasisMatrices::catmull_rom_with_tension(tension);
    const Eigen::Vector4d powers(t * t * t, t * t, t, 1.0);
    return control_points * (basis_matrix * powers);
}

References MayaFlux::Kinesis::BasisMatrices::catmull_rom_with_tension(), MayaFlux::Journal::Kinesis, and MayaFlux::Journal::Runtime.

Referenced by interpolate().

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