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15.125 14.5.16 Smoothness y fluidez

La literatura de smoothness muestra que medidas basadas en jerk no son equivalentes y que LDLJ/SPARC poseen propiedades distintas [P45-R8, P45-R9]. En escalada se han utilizado jerk de cadera, inmovilidad y métricas de organización espacial [P45-R10, P45-R11, P45-R12].

Métrica Dominio Fortaleza Riesgo
LDLJ discrete movement dimensionless amplitude/time normalization third derivative and noise sensitivity
SPARC speed profile spectral smoothness and temporal scaling robustness requires uniform sampling and declared spectral threshold
SpeedPeakCount speed profile interpretable submovement proxy threshold/filter dependence
StopRatio attempt or phase temporal organization cannot distinguish rest, reading, control or failure by itself
GIE route-relative hip/COM path spatial organization used in climbing research multiple formulations/reference envelopes; must version formula
PathDirectness targeted phase simple geometry direct path may be mechanically or tactically inappropriate
CorrectionCount effector acquisition captures re-aiming jitter can create false reversals
PhaseTransitionSharpness boundary window transition characterization depends on phase and derivative profile

Regla de publicación: Publish the metric name, exact formula/version, input signal, frame, window, filtering, sample rate and validity coverage. Never publish a generic smoothness score without these fields.

jerk is the third derivative of position
dimensionless jerk normalizes movement duration and amplitude
SPARC operates on a declared speed spectrum

La inmovilidad no es necesariamente mala fluidez. Puede ser lectura, reposo, estabilización o una restricción funcional; 14.4 y 14.3 deben aportar la interpretación temporal y mecánica.