分形样本生成 - CFASample

import numpy as np, matplotlib.pyplot as plt from FreeAeonFractal.FASample import CFASample from FreeAeonFractal.FAVisual import CFAVisual points_1d = CFASample.get_Cantor_Set(iterations=256) # 维度 ≈ 0.63 points_2d = CFASample.get_Sierpinski_Triangle(iterations=1024) # 维度 ≈ 1.58 points_fern = CFASample.get_Barnsley_Fern(iterations=4096) # 维度 ≈ 1.67 points_3d = CFASample.get_Menger_Sponge(iterations=10240) # 维度 ≈ 2.73 fig = plt.figure(figsize=(14, 4)) ax1 = fig.add_subplot(141); CFAVisual.plot_1d_points(points_1d, ax1); ax1.set_title("康托集") ax2 = fig.add_subplot(142); CFAVisual.plot_2d_points(points_2d, ax2); ax2.set_title("谢尔宾斯基") ax3 = fig.add_subplot(143); CFAVisual.plot_2d_points(points_fern, ax3); ax3.set_title("巴恩斯利蕨") ax4 = fig.add_subplot(144, projection='3d'); CFAVisual.plot_3d_points(points_3d, ax4); ax4.set_title("门格海绵") plt.tight_layout(); plt.show()

points = CFASample.get_Sierpinski_Triangle(iterations=4096) image = CFASample.get_image_from_points(points, img_size=(512, 512)) from FreeAeonFractal.FAImageFD import CFAImageFD fd_bc = CFAImageFD(image).get_bc_fd() print("谢尔宾斯基FD (BC):", fd_bc['fd']) # 期望约为1.58