interpolate()

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

Generic interpolation dispatcher.

Parameters

control_points	MxN matrix where columns are control points
t	Parameter in [0,1]
mode	Interpolation mode
tension	Tension parameter (for applicable modes)

Returns

Interpolated point as Nx1 vector

Definition at line 485 of file MotionCurves.cpp.

{
    switch (mode) {
    case InterpolationMode::LINEAR:
        if (control_points.cols() < 2) {
            error<std::invalid_argument>(
                Journal::Component::Kinesis,
                Journal::Context::Runtime,
                std::source_location::current(),
                "Linear interpolation requires at least 2 points, but got {}",
                control_points.cols());
        }
        return (1.0 - t) * control_points.col(0) + t * control_points.col(1);
 
    case InterpolationMode::CATMULL_ROM:
        return catmull_rom_spline(control_points, t, tension);
 
    case InterpolationMode::RADIAL_FAN_CUBIC:
        return radial_fan_cubic(control_points, t, tension);
 
    case InterpolationMode::CUBIC_HERMITE: {
        Eigen::MatrixXd endpoints = control_points.leftCols(2);
        Eigen::MatrixXd tangents = control_points.rightCols(2);
        return cubic_hermite(endpoints, tangents, t);
    }
 
    case InterpolationMode::CUBIC_BEZIER:
        return cubic_bezier(control_points, t);
 
    case InterpolationMode::QUADRATIC_BEZIER:
        return quadratic_bezier(control_points, t);
 
    case InterpolationMode::BSPLINE:
        return bspline_cubic(control_points, t);
 
    case InterpolationMode::COSINE: {
        if (control_points.cols() < 2) {
            error<std::invalid_argument>(
                Journal::Component::Kinesis,
                Journal::Context::Runtime,
                std::source_location::current(),
                "Cosine interpolation requires at least 2 points, but got {}",
                control_points.cols());
        }
        double mu2 = (1.0 - std::cos(t * M_PI)) * 0.5;
        return (1.0 - mu2) * control_points.col(0) + mu2 * control_points.col(1);
    }
 
    default:
        error<std::invalid_argument>(
            Journal::Component::Kinesis,
            Journal::Context::Runtime,
            std::source_location::current(),
            "Unsupported interpolation mode: {}",
            static_cast<int>(mode));
    }
}

References BSPLINE, bspline_cubic(), CATMULL_ROM, catmull_rom_spline(), COSINE, cubic_bezier(), CUBIC_BEZIER, cubic_hermite(), CUBIC_HERMITE, MayaFlux::Journal::Kinesis, LINEAR, mode, quadratic_bezier(), QUADRATIC_BEZIER, radial_fan_cubic(), RADIAL_FAN_CUBIC, and MayaFlux::Journal::Runtime.

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