basis.json

[
  {
    "name": "Linear and open B-splines",
    "degree": 1,
    "pseudo": [0, 0.05, 0.25, 0.5, 0.75, 0.95, 1],
    "kernel_size": [5],
    "is_open_spline": [1],
    "expected_basis": [[1, 0], [0.8, 0.2], [1, 0], [1, 0], [1, 0], [0.2, 0.8], [1, 0]],
    "expected_index": [[0, 1], [0, 1], [1, 2], [2, 3], [3, 4], [3, 4], [4, 0]]
  },
  {
    "name": "Linear and closed B-splines",
    "degree": 1,
    "pseudo": [0, 0.05, 0.25, 0.5, 0.75, 0.95, 1],
    "kernel_size": [4],
    "is_open_spline": [0],
    "expected_basis": [[1, 0], [0.8, 0.2], [1, 0], [1, 0], [1, 0], [0.2, 0.8], [1, 0]],
    "expected_index": [[0, 1], [0, 1], [1, 2], [2, 3], [3, 0], [3, 0], [0, 1]]
  },
  {
    "name": "Quadratic and open B-splines",
    "degree": 2,
    "pseudo": [0, 0.05, 0.25, 0.5, 0.75, 0.95, 1],
    "kernel_size": [6],
    "is_open_spline": [1],
    "expected_basis": [[0.5, 0.5, 0], [0.32, 0.66, 0.02], [0.5, 0.5, 0], [0.5, 0.5, 0], [0.5, 0.5, 0], [0.02, 0.66, 0.32], [0.5, 0.5, 0]],
    "expected_index": [[0, 1, 2], [0, 1, 2], [1, 2, 3], [2, 3, 4], [3, 4, 5], [3, 4, 5], [4, 5, 0]]
  },
  {
    "name": "Quadratic and closed B-splines",
    "degree": 2,
    "pseudo": [0, 0.05, 0.25, 0.5, 0.75, 0.95, 1],
    "kernel_size": [4],
    "is_open_spline": [0],
    "expected_basis": [[0.5, 0.5, 0], [0.32, 0.66, 0.02], [0.5, 0.5, 0], [0.5, 0.5, 0], [0.5, 0.5, 0], [0.02, 0.66, 0.32], [0.5, 0.5, 0]],
    "expected_index": [[0, 1, 2], [0, 1, 2], [1, 2, 3], [2, 3, 0], [3, 0, 1], [3, 0, 1], [0, 1, 2]]
  },
  {
    "name": "Cubic and open B-splines",
    "degree": 3,
    "pseudo": [0, 0.05, 0.25, 0.5, 0.75, 0.95, 1],
    "kernel_size": [7],
    "is_open_spline": [1],
    "expected_basis": [[0.16667, 0.6667, 0.1667, 0], [0.0853, 0.6307, 0.2827, 0.00133], [0.1667, 0.6667, 0.1667, 0], [0.1667, 0.6667, 0.1667, 0], [0.1667, 0.6667, 0.1667, 0], [0.00133, 0.2827, 0.6307, 0.0853], [0.1667, 0.6667, 0.1667, 0]],
    "expected_index": [[0, 1, 2, 3], [0, 1, 2, 3], [1, 2, 3, 4], [2, 3, 4, 5], [3, 4, 5, 6], [3, 4, 5, 6], [4, 5, 6, 0]]
  },
  {
    "name": "Cubic and closed B-splines",
    "degree": 3,
    "pseudo": [0, 0.05, 0.25, 0.5, 0.75, 0.95, 1],
    "kernel_size": [4],
    "is_open_spline": [0],
    "expected_basis": [[0.16667, 0.6667, 0.1667, 0], [0.0853, 0.6307, 0.2827, 0.00133], [0.1667, 0.6667, 0.1667, 0], [0.1667, 0.6667, 0.1667, 0], [0.1667, 0.6667, 0.1667, 0], [0.00133, 0.2827, 0.6307, 0.0853], [0.1667, 0.6667, 0.1667, 0]],
    "expected_index": [[0, 1, 2, 3], [0, 1, 2, 3], [1, 2, 3, 0], [2, 3, 0, 1], [3, 0, 1, 2], [3, 0, 1, 2], [0, 1, 2, 3]]
  },
  {
    "name": "Two-dimensional pseudo-coordinates",
    "degree": 1,
    "pseudo": [[0.125, 0.5], [0.5, 0.5], [0.75, 0.125]],
    "kernel_size": [5, 5],
    "is_open_spline": [1, 1],
    "expected_basis": [[0.5, 0.5, 0, 0], [1, 0, 0, 0], [0.5, 0, 0.5, 0]],
    "expected_index": [[2, 7, 3, 8], [12, 17, 13, 18], [15, 20, 16, 21]]
  }
]