1+ import json
2+ import numpy as np
3+ from scipy .spatial .transform import Rotation as R
4+ from pathlib import Path
5+
6+ def analyze_hand_eye_calibration_quality ():
7+ """
8+ Analyze hand-eye calibration quality using real geometric metrics
9+ instead of OpenCV's misleading residual artifacts.
10+ """
11+
12+ # Load calibration data
13+ calib_file = Path ('src/ur_toolkit/hand_eye_calibration/hand_eye_calibration.json' )
14+ with open (calib_file ) as f :
15+ data = json .load (f )
16+
17+ print ("🔬 HAND-EYE CALIBRATION QUALITY ANALYSIS" )
18+ print ("=" * 60 )
19+ print ()
20+
21+ # Basic info
22+ info = data ['calibration_info' ]
23+ print (f"📅 Calibration: { info ['timestamp' ]} " )
24+ print (f"📊 Poses collected: { info ['poses_collected' ]} " )
25+ print (f"✅ Successful: { info ['calibration_successful' ]} " )
26+ print ()
27+
28+ # Extract calibration data
29+ T_ce = np .array (data ['hand_eye_transform' ]['matrix' ])
30+ robot_poses = [np .array (pose ) for pose in data ['raw_pose_data' ]['robot_poses' ]]
31+ tag_poses = [np .array (pose ) for pose in data ['raw_pose_data' ]['apriltag_poses' ]]
32+
33+ print ("🎯 CALIBRATION RESULT ANALYSIS:" )
34+ print (f" Camera position: [{ T_ce [0 ,3 ]* 1000 :.1f} , { T_ce [1 ,3 ]* 1000 :.1f} , { T_ce [2 ,3 ]* 1000 :.1f} ] mm" )
35+ print (f" Camera distance from TCP: { np .linalg .norm (T_ce [:3 ,3 ])* 1000 :.1f} mm" )
36+
37+ # Analyze rotation
38+ R_ce = T_ce [:3 ,:3 ]
39+ euler = R .from_matrix (R_ce ).as_euler ('xyz' , degrees = True )
40+ print (f" Camera orientation: [{ euler [0 ]:.1f} °, { euler [1 ]:.1f} °, { euler [2 ]:.1f} °]" )
41+ print ()
42+
43+ # REAL QUALITY METRICS
44+ print ("� REAL QUALITY METRICS (NOT OpenCV artifacts):" )
45+ print ()
46+
47+ # 1. Pose diversity analysis
48+ print ("1️⃣ POSE DIVERSITY ANALYSIS:" )
49+
50+ # Translation diversity
51+ robot_translations = np .array ([pose [:3 ,3 ] for pose in robot_poses ])
52+ translation_range = np .ptp (robot_translations , axis = 0 ) * 1000 # Convert to mm
53+ translation_volume = np .prod (translation_range )
54+
55+ print (f" Translation range: [{ translation_range [0 ]:.1f} , { translation_range [1 ]:.1f} , { translation_range [2 ]:.1f} ] mm" )
56+ print (f" Workspace volume: { translation_volume / 1000 :.0f} cm³" )
57+
58+ # Rotation diversity
59+ robot_rotations = [R .from_matrix (pose [:3 ,:3 ]) for pose in robot_poses ]
60+ angles = []
61+ for i in range (len (robot_rotations )):
62+ for j in range (i + 1 , len (robot_rotations )):
63+ rel_rot = robot_rotations [i ].inv () * robot_rotations [j ]
64+ angle = rel_rot .magnitude ()
65+ angles .append (np .degrees (angle ))
66+
67+ max_rotation_diff = max (angles )
68+ avg_rotation_diff = np .mean (angles )
69+
70+ print (f" Max rotation difference: { max_rotation_diff :.1f} °" )
71+ print (f" Average rotation difference: { avg_rotation_diff :.1f} °" )
72+
73+ # Quality assessment for diversity
74+ trans_quality = "EXCELLENT" if translation_volume > 50000 else "GOOD" if translation_volume > 10000 else "POOR"
75+ rot_quality = "EXCELLENT" if max_rotation_diff > 45 else "GOOD" if max_rotation_diff > 20 else "POOR"
76+
77+ print (f" Translation diversity: { trans_quality } " )
78+ print (f" Rotation diversity: { rot_quality } " )
79+ print ()
80+
81+ # 2. Consistency analysis
82+ print ("2️⃣ CALIBRATION CONSISTENCY ANALYSIS:" )
83+
84+ # Check consistency by validating the hand-eye equation: T_base_to_tag = T_base_to_ee * T_ee_to_cam * T_cam_to_tag
85+ consistency_errors = []
86+
87+ for i in range (len (robot_poses )):
88+ T_base_to_ee = robot_poses [i ]
89+ T_cam_to_tag = tag_poses [i ]
90+
91+ # Predicted tag pose in base frame using hand-eye calibration
92+ T_predicted_base_to_tag = T_base_to_ee @ T_ce @ T_cam_to_tag
93+
94+ # For comparison, we need a reference. Let's use the first pose as reference.
95+ if i == 0 :
96+ T_reference_base_to_tag = T_predicted_base_to_tag
97+ continue
98+
99+ # The tag should appear at the same location in base frame for all poses
100+ T_error = T_reference_base_to_tag @ np .linalg .inv (T_predicted_base_to_tag )
101+
102+ # Extract translation and rotation errors
103+ trans_error = np .linalg .norm (T_error [:3 ,3 ]) * 1000 # mm
104+ rot_error = R .from_matrix (T_error [:3 ,:3 ]).magnitude () * 180 / np .pi # degrees
105+
106+ consistency_errors .append ({
107+ 'pose' : i + 1 ,
108+ 'translation_error_mm' : trans_error ,
109+ 'rotation_error_deg' : rot_error
110+ })
111+
112+ if consistency_errors :
113+ avg_trans_error = np .mean ([e ['translation_error_mm' ] for e in consistency_errors ])
114+ avg_rot_error = np .mean ([e ['rotation_error_deg' ] for e in consistency_errors ])
115+ max_trans_error = max ([e ['translation_error_mm' ] for e in consistency_errors ])
116+ max_rot_error = max ([e ['rotation_error_deg' ] for e in consistency_errors ])
117+
118+ print (f" Average consistency error: { avg_trans_error :.2f} mm, { avg_rot_error :.2f} °" )
119+ print (f" Maximum consistency error: { max_trans_error :.2f} mm, { max_rot_error :.2f} °" )
120+
121+ # Quality assessment for consistency
122+ consistency_quality = "EXCELLENT" if avg_trans_error < 5 and avg_rot_error < 2 else \
123+ "GOOD" if avg_trans_error < 15 and avg_rot_error < 5 else \
124+ "POOR"
125+
126+ print (f" Consistency quality: { consistency_quality } " )
127+
128+ # Show worst poses
129+ worst_trans = max (consistency_errors , key = lambda x : x ['translation_error_mm' ])
130+ worst_rot = max (consistency_errors , key = lambda x : x ['rotation_error_deg' ])
131+ print (f" Worst translation error: Pose { worst_trans ['pose' ]} ({ worst_trans ['translation_error_mm' ]:.2f} mm)" )
132+ print (f" Worst rotation error: Pose { worst_rot ['pose' ]} ({ worst_rot ['rotation_error_deg' ]:.2f} °)" )
133+
134+ print ()
135+
136+ # 3. Physical reasonableness
137+ print ("3️⃣ PHYSICAL REASONABLENESS CHECK:" )
138+
139+ camera_distance = np .linalg .norm (T_ce [:3 ,3 ]) * 1000
140+ camera_pos = T_ce [:3 ,3 ] * 1000
141+
142+ # Check if camera position makes physical sense
143+ distance_reasonable = 50 < camera_distance < 300 # 5cm to 30cm from TCP
144+
145+ # Check if camera is pointing roughly forward (positive Z in camera frame should align with some robot axis)
146+ camera_z_direction = T_ce [:3 ,2 ] # Camera Z axis (forward direction)
147+ camera_pointing_forward = camera_z_direction [0 ] > 0.5 # Roughly pointing in robot X direction
148+
149+ print (f" Camera distance from TCP: { camera_distance :.1f} mm { '✅' if distance_reasonable else '⚠️' } " )
150+ print (f" Camera pointing direction: { 'Forward ✅' if camera_pointing_forward else 'Other orientation ⚠️' } " )
151+ print (f" Physical setup: { 'Reasonable ✅' if distance_reasonable else 'Check mounting ⚠️' } " )
152+ print ()
153+
154+ # 4. Overall quality assessment
155+ print ("🏆 OVERALL QUALITY ASSESSMENT:" )
156+
157+ quality_scores = []
158+ if 'trans_quality' in locals ():
159+ quality_scores .append (trans_quality )
160+ if 'rot_quality' in locals ():
161+ quality_scores .append (rot_quality )
162+ if 'consistency_quality' in locals ():
163+ quality_scores .append (consistency_quality )
164+
165+ excellent_count = quality_scores .count ('EXCELLENT' )
166+ good_count = quality_scores .count ('GOOD' )
167+ poor_count = quality_scores .count ('POOR' )
168+
169+ if excellent_count >= 2 :
170+ overall_quality = "EXCELLENT"
171+ overall_emoji = "🥇"
172+ elif good_count >= 2 and poor_count == 0 :
173+ overall_quality = "GOOD"
174+ overall_emoji = "🥈"
175+ elif poor_count <= 1 :
176+ overall_quality = "ACCEPTABLE"
177+ overall_emoji = "🥉"
178+ else :
179+ overall_quality = "POOR"
180+ overall_emoji = "❌"
181+
182+ print (f" { overall_emoji } Overall calibration quality: { overall_quality } " )
183+ print ()
184+
185+ # 5. Recommendations
186+ print ("💡 RECOMMENDATIONS:" )
187+
188+ if overall_quality == "EXCELLENT" :
189+ print (" ✅ Calibration is excellent - ready for precise visual servoing" )
190+ print (" ✅ Expected accuracy: 1-3mm translation, 0.5-1.5° rotation" )
191+ elif overall_quality == "GOOD" :
192+ print (" ✅ Calibration is good - suitable for most visual servoing tasks" )
193+ print (" ✅ Expected accuracy: 2-5mm translation, 1-3° rotation" )
194+ elif overall_quality == "ACCEPTABLE" :
195+ print (" ⚠️ Calibration is acceptable but could be improved" )
196+ print (" 📝 Consider recalibrating with more diverse poses" )
197+ print (" 📝 Expected accuracy: 3-8mm translation, 2-5° rotation" )
198+ else :
199+ print (" ❌ Calibration quality is poor - recalibration recommended" )
200+ print (" 📝 Increase pose diversity, especially rotations" )
201+ print (" 📝 Check physical setup and AprilTag mounting" )
202+
203+ print ()
204+ print ("📋 NOTE: These are REAL quality metrics, not OpenCV's misleading 500+mm 'residuals'" )
205+
206+ if __name__ == "__main__" :
207+ analyze_hand_eye_calibration_quality ()
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