Fig 1.
A simulated trajectory with noisy measurements and an optimal cubic spline solution.
Fig 2.
Simulated point mass trajectory with high accuracy measurements.
[Top] Particle Position. [Bottom] Particle Velocity.
Fig 3.
Simulated point mass trajectory with low accuracy measurements.
Fig 4.
Trajectory number 100 from the simulated data set for comparison.
The true trajectory, measured data, the optimization spline, and NCS (top), and the error over time of each spline (bottom) are shown.
Fig 5.
Trajectory number 530 from the simulated data set for comparison.
The true trajectory, measured data, the optimization spline, and NCS (top), and the error over time of each spline (bottom) are shown.
Fig 6.
Histogram of improvement % over simulated random trajectories.
Fig 7.
Simulated stochastic harmonic oscillator trajectory with optimal spline.
Fig 8.
Simulated stochastic harmonic oscillator trajectory with both harmonic and cubic optimal splines for comparison.