membership() [1/2]

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

inline

Graded membership of a point in a box extent.

Parameters

extent	Extent to test against
point	Observation, same dimension as the extent
metric	Supplies wrapping; weights do not participate since the bounds are already stated in each axis's own units

Returns

1.0 fully inside, 0.0 fully outside, intermediate within the soft margin, governed by the worst axis

Definition at line 170 of file FeatureExtent.hpp.

{
    double worst = 1.0;
    for (Eigen::Index i = 0; i < point.size(); ++i) {
        const double centre = 0.5 * (extent.lower(i) + extent.upper(i));
        const double half = 0.5 * (extent.upper(i) - extent.lower(i));
 
        double offset = point(i) - centre;
        if (metric.periods.size() == point.size() && metric.periods(i) > 0.0)
            offset = std::remainder(offset, metric.periods(i));
 
        const double outside = std::abs(offset) - half;
        const double soft = (extent.softness.size() == point.size())
            ? extent.softness(i)
            : 0.0;
 
        const double axis = (outside <= 0.0)
            ? 1.0
            : 1.0 - detail::ramp(0.0, std::max(soft, 1e-12), outside);
 
        worst = std::min(worst, axis);
        if (worst <= 0.0)
            return 0.0;
    }
    return worst;
}

References MayaFlux::Kinesis::BoxExtent::lower, offset, MayaFlux::Kinesis::FeatureMetric::periods, MayaFlux::Kinesis::detail::ramp(), MayaFlux::Kinesis::BoxExtent::softness, and MayaFlux::Kinesis::BoxExtent::upper.

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