.ipynb

Draw TPS Deformation Grid#

Visualize shape deformation using thin plate spline grids.

Basic TPS grid#

import numpy as np
import matplotlib.pyplot as plt
from ktch.plot import tps_grid_2d_plot

# Reference shape: unit square with corner and edge landmarks
# Use slight offsets to avoid grid points coinciding with landmarks
reference = np.array([
    [0.02, 0.02], [0.98, 0.02], [0.98, 0.98], [0.02, 0.98],
    [0.52, 0.02], [0.98, 0.52], [0.52, 0.98], [0.02, 0.52],
], dtype=float)

# Target shape: slightly deformed
target = reference.copy()
target[2] = [1.12, 1.08]
target[6] = [0.57, 1.03]

fig, ax = plt.subplots(figsize=(6, 6))
tps_grid_2d_plot(reference, target, grid_size=0.1, ax=ax)
ax.set_aspect('equal')
plt.show()
../../../_images/a8f5ceba0edc2a5fcfeb4ae6bdf92fa9f4eb38187bab60d96887db3857c08713.png

Customize grid extent and smoothness#

outer controls how far the grid extends beyond the landmark bounding box as a fraction of the span (default: 0.1 = 10 %). n_grid_inner controls the number of interpolation points between grid lines, affecting visual smoothness (default: 10).

fig, axes = plt.subplots(1, 2, figsize=(12, 6))

tps_grid_2d_plot(reference, target, grid_size=0.1, outer=0.3, ax=axes[0])
axes[0].set_aspect("equal")
axes[0].set_title("outer=0.3 (wider margin)")

tps_grid_2d_plot(reference, target, grid_size=0.1, n_grid_inner=3, ax=axes[1])
axes[1].set_aspect("equal")
axes[1].set_title("n_grid_inner=3 (coarser curves)")

Text(0.5, 1.0, 'n_grid_inner=3 (coarser curves)')
../../../_images/dce629231d82dae96bb2ed987f235e44f4e899c3f75c5f4a771b666070e56469.png

See also