#%% import numpy as np import pandas as pd # Function to calculate the angle between two vectors def angle_between_vectors(v1, v2): unit_v1 = v1 / np.linalg.norm(v1) unit_v2 = v2 / np.linalg.norm(v2) dot_product = np.dot(unit_v1, unit_v2) angle = np.arccos(np.clip(dot_product, -1.0, 1.0)) return angle # Function to process each group and add new column def process_and_add_columns(group): if group['isError'].iloc[0]: # Skip groups where isError is True group['HMD'] = np.nan # Assign NaN for HMD vectors group['EYE'] = np.nan # Assign NaN for Leye vectors return group # Extract HMD vectors hmd_vectors = group[['HMDForwardVX', 'HMDForwardVY', 'HMDForwardVZ']].to_numpy() start_hmd_vector = hmd_vectors[0] end_hmd_vector = hmd_vectors[-1] # Calculate angle A for HMD vectors hmd_angle_A = angle_between_vectors(start_hmd_vector, end_hmd_vector) # Calculate angle B for each HMD vector and then B/A group['HMD'] = [angle_between_vectors(start_hmd_vector, vec) / hmd_angle_A if hmd_angle_A != 0 else 0 for vec in hmd_vectors] # Extract Leye vectors leye_vectors = group[['LeyeForwardVX', 'LeyeForwardVY', 'LeyeForwardVZ']].to_numpy() start_leye_vector = leye_vectors[0] end_leye_vector = leye_vectors[-1] # Calculate angle A for Leye vectors leye_angle_A = angle_between_vectors(start_leye_vector, end_leye_vector) # Calculate angle B for each Leye vector and then B/A group['EYE'] = [angle_between_vectors(start_leye_vector, vec) / leye_angle_A if leye_angle_A != 0 else 0 for vec in leye_vectors] return group # Load your data data = pd.read_csv('../Data/1_Trajectory.csv') # Group by 'BlockID' and 'TrialID', then apply the function processed_data = data.groupby(['BlockID', 'TrialID']).apply(process_and_add_columns).reset_index(drop=True) # Now you can use processed_data as needed print(processed_data.head()) #%% import matplotlib.pyplot as plt from scipy.ndimage import gaussian_filter1d from scipy.interpolate import interp1d filtered_data = processed_data[~processed_data['isError'] & processed_data['HMD'].notna() & processed_data['EYE'].notna() & processed_data['DistanceTraveledPercentage'].notna()] filtered_data = filtered_data[filtered_data['ProgressofTask'] % 1 == 0] # Group by ProgressofTask and calculate the mean for HMD and EYE average_data = filtered_data.groupby('ProgressofTask')[['DistanceTraveledPercentage','HMD', 'EYE']].mean() task_points = np.linspace(average_data.index.min(), average_data.index.max(), 500) # 创建100个均匀分布的点 interp_HMD = interp1d(average_data.index, average_data['HMD'], kind='cubic', fill_value='extrapolate') interp_EYE = interp1d(average_data.index, average_data['EYE'], kind='cubic', fill_value='extrapolate') interp_HAND = interp1d(average_data.index, average_data['DistanceTraveledPercentage']/100, kind='cubic', fill_value='extrapolate') smoothed_HMD = gaussian_filter1d(interp_HMD(task_points), sigma=5) smoothed_EYE = gaussian_filter1d(interp_EYE(task_points), sigma=7) smoothed_HAND = gaussian_filter1d(interp_HAND(task_points), sigma=5) # Plotting the curves plt.figure(figsize=(16, 9)) plt.plot(task_points, smoothed_HAND, label='Hand') plt.plot(task_points, smoothed_HMD, label='HMD') plt.plot(task_points, smoothed_EYE, label='EYE') plt.xlabel('Progress Of Task (%)') plt.ylabel('Current Angular Movement / Final Angular Movement') plt.legend() plt.grid(True) plt.show()