Integrated Euclidean distance between two trajectory polynomial curves

Integrated Euclidean distance between two trajectory polynomial curves

Usage

integrated_trajectory_distance(
  coeffs_ax,
  coeffs_ay,
  coeffs_bx,
  coeffs_by,
  t_start = 0,
  t_end = 1
)

Arguments

coeffs_ax

Polynomial coeffs for Curve A X

coeffs_ay

Polynomial coeffs for Curve A Y

coeffs_bx

Polynomial coeffs for Curve B X

coeffs_by

Polynomial coeffs for Curve B Y

t_start

Integration start (default 0.0)

t_end

Integration end (default 1.0)

Examples

cx <- c(0, 1); cy <- c(0, 2)
integrated_trajectory_distance(cx, cy, cx, cy)              # 0: same curve
#> [1] 0
integrated_trajectory_distance(cx, cy, cx + c(3, 0), cy + c(4, 0))  # 5: parallel offset
#> [1] 5