import matplotlib.pyplot as plt import numpy as np def f(x, y): return np.exp(-((x**2) + y**2) / 3) x_vals = np.linspace(-5, 5, 100) y_vals = np.linspace(-5, 5, 100) X, Y = np.meshgrid(x_vals, y_vals) Z = f(X - 2, Y) + f(X + 2, Y) Z = (Z > 0.4).astype(np.float32) Z *= np.random.rand(*Z.shape) for i, x in enumerate(x_vals): for j, y in enumerate(y_vals): color = f"{hex(int(Z[j, i] * 255))[2:]}" if color == "0": color = "#003" else: color = "#" + 3 * color plt.fill([x, x + 0.1, x + 0.1, x], [y, y, y + 0.1, y + 0.1], color=color) nb_cams = 32 cam_poses = np.array( [[6 * np.cos(theta), 6 * np.sin(theta)] for theta in np.linspace(0, 2 * np.pi, nb_cams, endpoint=False)] ) cam_rots = np.linspace(np.pi, 3 * np.pi, nb_cams, endpoint=False) cam2world_projs = np.array( [ [[np.cos(theta), -np.sin(theta), cam_pose[0]], [np.sin(theta), np.cos(theta), cam_pose[1]], [0, 0, 1]] for theta, cam_pose in zip(cam_rots, cam_poses) ] ) for i in range(nb_cams): plt.plot(cam_poses[i][0], cam_poses[i][1], "ro") plt.text(cam_poses[i][0], cam_poses[i][1], str(i)) x = np.array([[0, 0, 1], [0.5, -0.2, 1], [0.5, 0.2, 1], [0, 0, 1]]).T x = cam2world_projs[i] @ x plt.plot(x[0, :], x[1, :], "r-") plt.xlim(-7, 7) plt.ylim(-7, 7) plt.axis("equal") # draw 1d image of the scene for each camera for i in [0, 8, 16, 24]: plt.figure(f"cam {i}") # sort pixels by distance to camera cam_pose = cam_poses[i] pixels_dist = np.linalg.norm(np.array([X.flatten(), Y.flatten()]).T - cam_pose, axis=1) pixels_sort = np.argsort(pixels_dist)[::-1] x0 = -1 x1 = 1 plt.fill([x0, x1, x1, x0], [0, 0, 0.2, 0.2], color="#003") for j in pixels_sort: x, y = X.flatten()[j], Y.flatten()[j] color = f"{hex(int(Z.flatten()[j] * 255))[2:]}" if color == "0": continue # color = "f" color = "#" + 3 * color px = np.array([[x, y, 1], [x + 0.1, y, 1], [x + 0.1, y + 0.1, 1], [x, y + 0.1, 1]]).T px = np.linalg.inv(cam2world_projs[i]) @ px px /= px[0, :] x0 = px[1, :].min() x1 = px[1, :].max() plt.fill([x0, x1, x1, x0], [0, 0, 0.2, 0.2], color=color) plt.xlim(-1, 1) plt.ylim(0, 0.2) plt.axis("off") plt.savefig(f"data/peanut/images/Image{i:04}.png", dpi=300, bbox_inches="tight", pad_inches=0, transparent=True) plt.show()