|
| 1 | +""" |
| 2 | +Visvalingam algorithm |
| 3 | +===================== |
| 4 | +""" |
| 5 | +import matplotlib.animation as animation |
| 6 | +from matplotlib import pyplot as plt |
| 7 | +from numba import njit |
| 8 | +from numpy import array, empty |
| 9 | + |
| 10 | +from py_eddy_tracker import data |
| 11 | +from py_eddy_tracker.generic import uniform_resample |
| 12 | +from py_eddy_tracker.observations.observation import EddiesObservations |
| 13 | +from py_eddy_tracker.poly import vertice_overlap, visvalingam |
| 14 | + |
| 15 | + |
| 16 | +@njit(cache=True) |
| 17 | +def visvalingam_polys(x, y, nb_pt): |
| 18 | + nb = x.shape[0] |
| 19 | + x_new = empty((nb, nb_pt), dtype=x.dtype) |
| 20 | + y_new = empty((nb, nb_pt), dtype=y.dtype) |
| 21 | + for i in range(nb): |
| 22 | + x_new[i], y_new[i] = visvalingam(x[i], y[i], nb_pt) |
| 23 | + return x_new, y_new |
| 24 | + |
| 25 | + |
| 26 | +@njit(cache=True) |
| 27 | +def uniform_resample_polys(x, y, nb_pt): |
| 28 | + nb = x.shape[0] |
| 29 | + x_new = empty((nb, nb_pt), dtype=x.dtype) |
| 30 | + y_new = empty((nb, nb_pt), dtype=y.dtype) |
| 31 | + for i in range(nb): |
| 32 | + x_new[i], y_new[i] = uniform_resample(x[i], y[i], fixed_size=nb_pt) |
| 33 | + return x_new, y_new |
| 34 | + |
| 35 | + |
| 36 | +def update_line(num): |
| 37 | + nb = 50 - num - 20 |
| 38 | + x_v, y_v = visvalingam_polys(a.contour_lon_e, a.contour_lat_e, nb) |
| 39 | + for i, (x_, y_) in enumerate(zip(x_v, y_v)): |
| 40 | + lines_v[i].set_data(x_, y_) |
| 41 | + x_u, y_u = uniform_resample_polys(a.contour_lon_e, a.contour_lat_e, nb) |
| 42 | + for i, (x_, y_) in enumerate(zip(x_u, y_u)): |
| 43 | + lines_u[i].set_data(x_, y_) |
| 44 | + scores_v = vertice_overlap(a.contour_lon_e, a.contour_lat_e, x_v, y_v) * 100.0 |
| 45 | + scores_u = vertice_overlap(a.contour_lon_e, a.contour_lat_e, x_u, y_u) * 100.0 |
| 46 | + for i, (s_v, s_u) in enumerate(zip(scores_v, scores_u)): |
| 47 | + texts[i].set_text(f"Score uniform {s_u:.1f} %\nScore visvalingam {s_v:.1f} %") |
| 48 | + title.set_text(f"{nb} points by contour in place of 50") |
| 49 | + return (title, *lines_u, *lines_v, *texts) |
| 50 | + |
| 51 | + |
| 52 | +# %% |
| 53 | +# Load detection files |
| 54 | +a = EddiesObservations.load_file(data.get_path("Anticyclonic_20190223.nc")) |
| 55 | +a = a.extract_with_mask((abs(a.lat) < 66) * (abs(a.radius_e) > 80e3)) |
| 56 | + |
| 57 | +nb_pt = 10 |
| 58 | +x_v, y_v = visvalingam_polys(a.contour_lon_e, a.contour_lat_e, nb_pt) |
| 59 | +x_u, y_u = uniform_resample_polys(a.contour_lon_e, a.contour_lat_e, nb_pt) |
| 60 | +scores_v = vertice_overlap(a.contour_lon_e, a.contour_lat_e, x_v, y_v) * 100.0 |
| 61 | +scores_u = vertice_overlap(a.contour_lon_e, a.contour_lat_e, x_u, y_u) * 100.0 |
| 62 | +d_6 = scores_v - scores_u |
| 63 | +nb_pt = 18 |
| 64 | +x_v, y_v = visvalingam_polys(a.contour_lon_e, a.contour_lat_e, nb_pt) |
| 65 | +x_u, y_u = uniform_resample_polys(a.contour_lon_e, a.contour_lat_e, nb_pt) |
| 66 | +scores_v = vertice_overlap(a.contour_lon_e, a.contour_lat_e, x_v, y_v) * 100.0 |
| 67 | +scores_u = vertice_overlap(a.contour_lon_e, a.contour_lat_e, x_u, y_u) * 100.0 |
| 68 | +d_12 = scores_v - scores_u |
| 69 | +a = a.index(array((d_6.argmin(), d_6.argmax(), d_12.argmin(), d_12.argmax()))) |
| 70 | + |
| 71 | + |
| 72 | +# %% |
| 73 | +fig = plt.figure() |
| 74 | +axs = [ |
| 75 | + fig.add_subplot(221), |
| 76 | + fig.add_subplot(222), |
| 77 | + fig.add_subplot(223), |
| 78 | + fig.add_subplot(224), |
| 79 | +] |
| 80 | +lines_u, lines_v, texts, score_text = list(), list(), list(), list() |
| 81 | +for i, obs in enumerate(a): |
| 82 | + axs[i].set_aspect("equal") |
| 83 | + axs[i].grid() |
| 84 | + axs[i].set_xticklabels([]), axs[i].set_yticklabels([]) |
| 85 | + axs[i].plot( |
| 86 | + obs["contour_lon_e"], obs["contour_lat_e"], "r", lw=6, label="Original contour" |
| 87 | + ) |
| 88 | + lines_v.append(axs[i].plot([], [], color="limegreen", lw=4, label="visvalingam")[0]) |
| 89 | + lines_u.append( |
| 90 | + axs[i].plot([], [], color="black", lw=2, label="uniform resampling")[0] |
| 91 | + ) |
| 92 | + texts.append(axs[i].set_title("", fontsize=8)) |
| 93 | +axs[0].legend(fontsize=8) |
| 94 | +title = fig.suptitle("") |
| 95 | +ani = animation.FuncAnimation(fig, update_line, 27) |
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