membership() [2/2]

double MayaFlux::Kinesis::membership ( const EllipsoidExtent &  extent, const Eigen::VectorXd &  point, const FeatureMetric &  metric  )

inline

Graded membership of a point in an ellipsoid extent.

Parameters

extent	Extent to test against
point	Observation, same dimension as the extent
metric	Supplies wrapping on the offset from the centre

Returns

1.0 at normalized distance one or below, falling to 0.0 at one plus softness

Definition at line 208 of file FeatureExtent.hpp.

{
    const Eigen::VectorXd d = metric.delta(point, extent.centre);
    double acc = 0.0;
    for (Eigen::Index i = 0; i < d.size(); ++i) {
        const double r = (extent.radii(i) > 0.0) ? extent.radii(i) : 1e-12;
        const double s = d(i) / r;
        acc += s * s;
    }
    const double normalized = std::sqrt(acc);
    if (normalized <= 1.0)
        return 1.0;
    return 1.0 - detail::ramp(1.0, 1.0 + std::max(extent.softness, 1e-12), normalized);
}

References MayaFlux::Kinesis::EllipsoidExtent::centre, MayaFlux::Kinesis::FeatureMetric::delta(), MayaFlux::normalized(), MayaFlux::Kinesis::EllipsoidExtent::radii, MayaFlux::Kinesis::detail::ramp(), and MayaFlux::Kinesis::EllipsoidExtent::softness.

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