shape_distance()

float MayaFlux::Kinesis::shape_distance ( std::span< const glm::vec2 >  a, std::span< const glm::vec2 >  b, size_t  samples = 32  )

inline

Root mean square point distance between two paths after resampling and normalization.

Parameters

a	Left path in chronological order
b	Right path in chronological order
samples	Point count both paths are resampled to

Returns

RMS distance in normalized units

Resamples both to the same arc-length spacing, removes position and scale from each, and compares point against point. Sensitive to orientation, unlike a rotation-invariant turning profile, and sensitive to proportion, unlike turning in general.

Definition at line 317 of file PathShape.hpp.

{
    const std::vector<glm::vec2> ra = normalize_shape(resample_uniform(a, samples));
    const std::vector<glm::vec2> rb = normalize_shape(resample_uniform(b, samples));
    if (ra.size() != rb.size() || ra.empty())
        return std::numeric_limits<float>::infinity();
 
    float acc = 0.0F;
    for (size_t i = 0; i < ra.size(); ++i) {
        const glm::vec2 d = ra[i] - rb[i];
        acc += glm::dot(d, d);
    }
    return std::sqrt(acc / static_cast<float>(ra.size()));
}

References a, b, normalize_shape(), and resample_uniform().

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