Splines

Mix.install(
  [
    {:curves, "~> 0.2.5"},
    {:tucan, "~> 0.6.0"},
    {:vega_lite, "~> 0.1.0"},
    {:kino_vega_lite, "~> 0.1.0"},
  ])

Curves (Spline) tutorial

# A very common spline is the Bezier Spline.
# It's basically a series of Bezier curves all linked together.
# Notice you never define the endpoint for any of them,
# they get that automatically from their neighbour.

curve = Curves.define_bezier_spline([
  # P0
  [{5.0, 10.0},
  {10.0, 10.0}],

  # P1
  [{10.0, 5.0},
    {5.0, 5.0}, 
    {15.0, 5.0}],

  # P2
  [{15.0, 10.0},
   {15.0, 6.0},
   {15.0, 14.0}
  ],

  # P3
  [{20.0, 15.0},
   {18.0, 15.0},
   {23.0, 15.0}],

  [{30.0, 10.0}, 
    {32.0, 5.0}]
])

curve
|> Curves.Utils.Plotting.curve_to_scatterplot(label: "Cubic", count: 1000)
|> Tucan.scatter("x", "y")
|> Tucan.color_by("label")
|> Tucan.fill_by("label")

curve = Curves.define_hermite([
  {5, 10},
  {10, 5},
  {15, 10},
  {20, 10},
  {25, 5},
  {30, 15},
])


curve
|> Curves.Utils.Plotting.curve_to_scatterplot(label: "Hermite", count: 1000)
|> Tucan.scatter("x", "y")
|> Tucan.color_by("label")
|> Tucan.fill_by("label")

curve = Curves.define_catmull_rom([
  {0, 0},
  {1, 0},
  {1, 1},
  {0, 1},
  {0, 2},
  {1, 2},
])


curve
|> Curves.Utils.Plotting.curve_to_scatterplot(label: "Catmull-Rom", count: 1000)
|> Tucan.scatter("x", "y")
|> Tucan.color_by("label")
|> Tucan.fill_by("label")

curve = Curves.define_b_spline([
    {0, -2},
    {3, 4},
    {6, 5},
    {7, -1},
    {10, 3},
    {5, 1},
    {12, 9}
])


curve
|> Curves.Utils.Plotting.curve_to_scatterplot(label: "BSpline", count: 1000)
|> Tucan.scatter("x", "y")
|> Tucan.color_by("label")
|> Tucan.fill_by("label")