Phase 1 abgeschlossen: Positionen werden erkannt.

Positionen aus den Merkern heraus erkennbar. Viele Bilder gleichzeitig verarbeitbar.
This commit is contained in:
chk
2026-05-25 22:16:11 +02:00
parent f37097ea96
commit 5a7176920a
11 changed files with 3005 additions and 120 deletions

14
documentation/Phase1.aux Normal file
View File

@@ -0,0 +1,14 @@
\relax
\@writefile{toc}{\contentsline {section}{\numberline {1}Ziel}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2}Koordinatensysteme}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {3}solvePnP}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {4}Kamerapose}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5}Markerposition in Weltkoordinaten}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6}Markerrotation in Weltkoordinaten}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {7}Gewichtung der Beobachtungen}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {8}Gewichtete Positionsfusion}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {9}Rotationsfusion}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {10}Qualitätsmetriken}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {11}Rigid-Body Erweiterung}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {12}Spätere Erweiterungen}{4}{}\protected@file@percent }
\gdef \@abspage@last{4}

BIN
documentation/Phase1.pdf Normal file

Binary file not shown.

248
documentation/Phase1.tex Normal file
View File

@@ -0,0 +1,248 @@
\documentclass[a4paper,11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{geometry}
\geometry{margin=2.5cm}
\title{Mathematische Beschreibung von \texttt{3\_fuse\_markers\_world.py}}
\author{}
\date{}
\begin{document}
\maketitle
\section{Ziel}
Das Script fusioniert mehrere ArUco-Detektionen aus mehreren Kameras zu einem gemeinsamen Weltmodell.
Gegeben sind:
\begin{itemize}
\item Kameraposen im Weltkoordinatensystem
\item 2D Marker-Detektionen pro Kamera
\item Kameraintrinsics
\item Markergröße
\end{itemize}
Gesucht sind:
\begin{itemize}
\item Weltposition aller Marker
\item Markerorientierungen
\item Qualitätsmetriken
\end{itemize}
\section{Koordinatensysteme}
Verwendete Systeme:
\begin{itemize}
\item Weltkoordinatensystem $W$
\item Kamerakoordinatensystem $C$
\item Markerkoordinatensystem $M$
\end{itemize}
\section{solvePnP}
Für jeden Marker wird mittels OpenCV solvePnP berechnet:
\[
X_C = R_{CM} X_M + t_{CM}
\]
Dabei gilt:
\begin{itemize}
\item $R_{CM}$ = Rotation Marker $\rightarrow$ Kamera
\item $t_{CM}$ = Translation Marker $\rightarrow$ Kamera
\end{itemize}
\section{Kamerapose}
Aus der vorher berechneten Kamerapose:
\[
X_W = R_{WC} X_C + t_{WC}
\]
mit:
\[
t_{WC} = C_W
\]
(Kameraposition in Weltkoordinaten)
\section{Markerposition in Weltkoordinaten}
Markerzentrum:
\[
p_M =
\begin{bmatrix}
0 \\
0 \\
0
\end{bmatrix}
\]
Markerposition im Kamerasystem:
\[
p_C = R_{CM} p_M + t_{CM}
\]
Da $p_M = 0$:
\[
p_C = t_{CM}
\]
Transformation ins Weltkoordinatensystem:
\[
p_W = R_{WC} p_C + t_{WC}
\]
Somit:
\[
p_W = R_{WC} t_{CM} + t_{WC}
\]
\section{Markerrotation in Weltkoordinaten}
Die Markerrotation relativ zur Kamera:
\[
R_{CM}
\]
Die Kamerarotation relativ zur Welt:
\[
R_{WC}
\]
Markerrotation relativ zur Welt:
\[
R_{WM} = R_{WC} R_{CM}
\]
Dies ist die zentrale Rotationsgleichung des Scripts.
\section{Gewichtung der Beobachtungen}
Mehrere Kameras können denselben Marker beobachten.
Für jede Beobachtung wird ein Gewicht berechnet:
\[
w_i =
w_{\text{confidence}}
\cdot
w_{\text{area}}
\cdot
w_{\text{view}}
\cdot
w_{\text{reprojection}}
\]
Typische Faktoren:
\begin{itemize}
\item Marker Confidence
\item Markergröße in Pixel
\item Sichtwinkel
\item Distanz zum Bildrand
\item Reprojektionsfehler
\end{itemize}
\section{Gewichtete Positionsfusion}
Die endgültige Markerposition:
\[
p =
\frac{
\sum_i w_i p_i
}{
\sum_i w_i
}
\]
Dies entspricht einem gewichteten Mittelwert.
\section{Rotationsfusion}
Rotationen werden gesammelt:
\[
R_1, R_2, ..., R_n
\]
Eine einfache erste Näherung:
\begin{itemize}
\item Eulerwinkel mitteln
\item oder Quaternionen mitteln
\end{itemize}
Später empfohlen:
\begin{itemize}
\item SVD-basierte Rotationsmittelung
\item Lie-Group Mittelung auf $SO(3)$
\end{itemize}
\section{Qualitätsmetriken}
Das Script berechnet:
\begin{itemize}
\item Anzahl beobachtender Kameras
\item Positionsstreuung
\item Reprojektionsfehler
\item Gesamtgewicht
\item Sichtwinkel
\end{itemize}
Beispiel:
\[
\sigma =
\sqrt{
\frac{1}{N}
\sum_i ||p_i - \bar{p}||^2
}
\]
\section{Rigid-Body Erweiterung}
Später können Marker über bekannte Relativpositionen gekoppelt werden.
Beispiel:
\[
p_{M2} = p_{M1} + R_{Body} \Delta p
\]
Dadurch können Marker rekonstruiert werden, selbst wenn sie nicht direkt sichtbar sind.
\section{Spätere Erweiterungen}
Geplant:
\begin{itemize}
\item Bundle Adjustment
\item Kinematic Constraints
\item Joint Solver
\item Graph Optimization
\item Temporal Tracking
\end{itemize}
\end{document}

View File

@@ -0,0 +1,28 @@
\relax
\@writefile{toc}{\contentsline {section}{\numberline {1}Ziel}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2}Ausgangslage}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {3}Grundidee}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {4}Vorteil}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {5}Erwartete Verbesserungen}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Stabilität}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Konsistenz}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.3}Multi-Camera-Verkettung}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6}Benötigte Daten}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Bereits vorhanden}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {6.1.1}Absolute Marker}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {6.1.2}Relative Markerpositionen}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {6.1.3}Body-Zuordnung}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {6.1.4}Gelenke}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {7}Noch fehlende Daten}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1}Marker-Orientierung relativ zum Body}{4}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {8}Geplante Solver-Strategie}{5}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {8.1}Phase 2A --- Rigid Body Fit}{5}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {8.2}Phase 2B --- Joint Constraints}{5}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {8.3}Phase 2C --- Global Optimization}{5}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {9}Wichtige Architekturentscheidung}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {10}Geplante Datenstruktur}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {10.1}Weltpose eines Körpers}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {10.2}Relative Markerdefinition}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {11}Phase 1 Reminder}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {12}Zielbild}{7}{}\protected@file@percent }
\gdef \@abspage@last{7}

Binary file not shown.

View File

@@ -0,0 +1,348 @@
\documentclass[a4paper,11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{geometry}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{listings}
\usepackage{xcolor}
\title{Phase 2 --- Kinematic-Constrained Multi-Camera Solver}
\author{}
\date{}
\begin{document}
\maketitle
\section{Ziel}
Nach Phase 1 existiert:
\begin{itemize}
\item ein gemeinsames Weltkoordinatensystem
\item Kameraposen aller Kameras
\item bekannte absolute Markerpositionen
\item fusionierte Beobachtungen mehrerer Kameras
\end{itemize}
Phase 2 erweitert das System um:
\begin{itemize}
\item Rigid-Body Constraints
\item mechanische Zusammenhänge
\item Gelenke
\item relative Marker-Geometrien (\texttt{relPos})
\item Stabilisierung bei wenigen sichtbaren Markern
\end{itemize}
\section{Ausgangslage}
Aktuell wird jeder Marker unabhängig behandelt.
Das ist suboptimal, weil:
\begin{itemize}
\item viele Marker nur kurz sichtbar sind
\item oft nur 1--2 Marker eines Bauteils sichtbar sind
\item solvePnP bei wenigen Markern instabil wird
\item Markerrauschen direkt in die Weltkoordinaten eingeht
\end{itemize}
Mechanisch sind die Marker jedoch nicht unabhängig.
Mehrere Marker gehören jeweils zu:
\begin{itemize}
\item Arm1
\item Arm2
\item Joint1
\item Base
\item Finger1
\item Finger2
\end{itemize}
und bilden jeweils starre Körper (Rigid Bodies).
\section{Grundidee}
Statt einzelne Marker zu lösen:
\begin{verbatim}
Marker -> Welt
\end{verbatim}
wird gelöst:
\begin{verbatim}
RigidBody -> Welt
\end{verbatim}
und daraus:
\begin{verbatim}
Marker = RigidBody * relTransform
\end{verbatim}
\section{Vorteil}
Schon ein einzelner sichtbarer Marker kann:
\begin{itemize}
\item einen ganzen Körper stabilisieren
\item andere unsichtbare Marker indirekt bestimmen
\end{itemize}
Beispiel:
Wenn Marker 198 sichtbar ist
und Marker 229 relativ dazu bekannt ist,
dann kann Marker 229 geschätzt werden,
auch wenn er aktuell unsichtbar ist.
\section{Erwartete Verbesserungen}
\subsection{Stabilität}
Deutlich stabilere Pose-Schätzung bei:
\begin{itemize}
\item Motion Blur
\item wenigen sichtbaren Markern
\item schlechten Blickwinkeln
\item Teilverdeckungen
\end{itemize}
\subsection{Konsistenz}
Marker eines Bauteils bleiben:
\begin{itemize}
\item geometrisch korrekt
\item starr
\item ohne unrealistische Verzerrungen
\end{itemize}
\subsection{Multi-Camera-Verkettung}
Kameras können indirekt gekoppelt werden.
Beispiel:
Cam1 sieht:
\begin{itemize}
\item Marker 1,2,3
\end{itemize}
Cam2 sieht:
\begin{itemize}
\item Marker 3,198
\end{itemize}
Cam3 sieht:
\begin{itemize}
\item Marker 198,229
\end{itemize}
Dadurch wird:
\begin{itemize}
\item Arm1 relativ zur Welt bestimmbar
\item obwohl keine einzelne Kamera alles sieht
\end{itemize}
\section{Benötigte Daten}
\subsection{Bereits vorhanden}
\subsubsection{Absolute Marker}
\begin{verbatim}
"position":[x,y,z]
\end{verbatim}
für Board-Marker.
\subsubsection{Relative Markerpositionen}
\begin{verbatim}
"relPos":[x,y,z]
\end{verbatim}
für Marker auf einem Rigid Body.
\subsubsection{Body-Zuordnung}
\begin{verbatim}
"on":"Arm1"
\end{verbatim}
\subsubsection{Gelenke}
\begin{verbatim}
"type":"revolute"
"axis":[1,0,0]
\end{verbatim}
\section{Noch fehlende Daten}
\subsection{Marker-Orientierung relativ zum Body}
Aktuell existiert nur:
\begin{verbatim}
"relPos"
\end{verbatim}
Empfohlen wird zusätzlich:
\begin{verbatim}
"relRot":[rx,ry,rz]
\end{verbatim}
oder alternativ:
\begin{verbatim}
"normal":[x,y,z]
"up":[x,y,z]
\end{verbatim}
Denn Marker besitzen nicht nur Position,
sondern auch Orientierung.
Das verbessert spätere Pose-Fits deutlich.
\section{Geplante Solver-Strategie}
\subsection{Phase 2A --- Rigid Body Fit}
Zunächst:
\begin{itemize}
\item pro Element einen starren Körper fitten
\item noch keine Gelenkoptimierung
\end{itemize}
Beispiel:
\begin{verbatim}
T_world_arm1
\end{verbatim}
wird geschätzt.
Alle Marker von Arm1 folgen daraus automatisch.
\subsection{Phase 2B --- Joint Constraints}
Danach:
\begin{itemize}
\item Gelenkachsen erzwingen
\item Rotationen einschränken
\item mechanische Grenzen verwenden
\end{itemize}
Beispiel:
\begin{verbatim}
Arm2 darf sich nur um Y drehen
\end{verbatim}
\subsection{Phase 2C --- Global Optimization}
Später optional:
\begin{itemize}
\item vollständiges Bundle Adjustment
\item gleichzeitige Optimierung aller:
\begin{itemize}
\item Kameras
\item Marker
\item Bodies
\item Gelenkwinkel
\end{itemize}
\end{itemize}
\section{Wichtige Architekturentscheidung}
NICHT:
\begin{verbatim}
Marker einzeln lösen
\end{verbatim}
SONDERN:
\begin{verbatim}
Bodies + Constraints lösen
\end{verbatim}
Marker werden damit Beobachtungen,
nicht mehr primäre Zustände.
\section{Geplante Datenstruktur}
\subsection{Weltpose eines Körpers}
\begin{verbatim}
{
"body":"Arm1",
"worldPose":{
"position":[x,y,z],
"rotationMatrix":[...]
}
}
\end{verbatim}
\subsection{Relative Markerdefinition}
\begin{verbatim}
{
"id":198,
"on":"Arm1",
"relPos":[x,y,z],
"relRot":[rx,ry,rz]
}
\end{verbatim}
\section{Phase 1 Reminder}
Phase 1 bleibt weiterhin wichtig:
\begin{itemize}
\item alle Kameras finden
\item alle Detection-Dateien laden
\item gemeinsame Marker fusionieren
\item Weltkoordinaten berechnen
\item Qualitätsmetriken speichern
\item auch schlechte / unvollständige Beobachtungen abspeichern
\end{itemize}
Die Ergebnisse von Phase 1 dienen als Eingang für Phase 2.
\section{Zielbild}
Langfristig entsteht:
\begin{itemize}
\item ein globales Robotermodell
\item mit mehreren Kameras
\item mehreren Rigid Bodies
\item Gelenken
\item Unsicherheiten
\item Qualitätsmetriken
\item temporaler Stabilisierung
\end{itemize}
basierend auf:
\begin{itemize}
\item ArUco-Beobachtungen
\item Mechanik
\item Kinematik
\item Multi-View-Geometrie
\end{itemize}
\end{document}

View File

@@ -1,27 +1,26 @@
#!/usr/bin/env python3
"""
estimate_camera_pose_from_aruco_json.py
2_estimate_camera_pose_from_aruco_json.py
Berechnet die Kameraposition im Maschinen-/Board-Koordinatensystem
aus:
1. einer ArUco-Detections-JSON
2. robots.json mit bekannten Marker-Positionen
Das Script verwendet ausschließlich bekannte Marker
und bestimmt daraus die Kamera-Extrinsics mittels solvePnP.
Ergebnis:
- Kamera-Position im Weltkoordinatensystem
- Kamera-Orientierung (Roll/Pitch/Yaw)
- optionale Reprojektion zur Qualitätskontrolle
NEU:
- Marker-Orientierungen unterstützt
- Default: Board-Marker zeigen nach +Z
- Qualitätsbewertung erweitert
- Speichert ALLE erkannten Marker
- Speichert auch fehlgeschlagene Lösungen
- Bewertet Kamerageometrie
- Bewertet Markerabdeckung
- Bewertet Sichtwinkel
- Bewertet Markeranzahl
- Speichert vollständige Rohdaten
Benötigt:
pip install opencv-python numpy
Beispiel:
python 2_estimate_camera_pose_from_aruco_json.py \
--detections detection.json \
--robots robots.json
"""
import argparse
@@ -37,31 +36,45 @@ import numpy as np
# Hilfsfunktionen
# ============================================================
def normalize(v):
n = np.linalg.norm(v)
if n < 1e-9:
return v
return v / n
def rotation_matrix_from_axes(x_axis, y_axis, z_axis):
R = np.column_stack([
normalize(x_axis),
normalize(y_axis),
normalize(z_axis)
])
return R.astype(np.float32)
def rvec_tvec_to_camera_pose(rvec, tvec):
"""
OpenCV liefert:
OpenCV:
X_cam = R * X_world + t
Gesucht:
Kamera-Pose im Weltkoordinatensystem
=> R_wc = R^T
=> C = -R^T * t
Kamera im Weltkoordinatensystem:
C = -R^T * t
"""
R_cw, _ = cv2.Rodrigues(rvec)
R_wc = R_cw.T
cam_pos = -R_wc @ tvec
return R_wc, cam_pos.reshape(3)
def rotation_matrix_to_euler_zyx(R):
"""
Euler ZYX:
yaw(Z), pitch(Y), roll(X)
"""
yaw = math.degrees(math.atan2(R[1, 0], R[0, 0]))
@@ -74,14 +87,42 @@ def rotation_matrix_to_euler_zyx(R):
return roll, pitch, yaw
def build_marker_lookup(robot_data):
"""
Liest nur Marker mit ABSOLUTER Position.
# ============================================================
# Marker-Orientierung
# ============================================================
Unterstützt:
"position" -> absolute Weltposition [m]
"relPos" -> wird aktuell ignoriert
"""
def get_marker_rotation(marker):
# Explizite Rotation vorhanden?
if "rotation_matrix" in marker:
return np.array(
marker["rotation_matrix"],
dtype=np.float32
)
# Default:
# Marker zeigt nach +Z
#
# x = rechts
# y = oben
# z = aus Board heraus (+Z)
x_axis = np.array([1, 0, 0], dtype=np.float32)
y_axis = np.array([0, 1, 0], dtype=np.float32)
z_axis = np.array([0, 0, 1], dtype=np.float32)
return rotation_matrix_from_axes(
x_axis,
y_axis,
z_axis
)
# ============================================================
# Marker Lookup
# ============================================================
def build_marker_lookup(robot_data):
marker_lookup = {}
@@ -89,11 +130,10 @@ def build_marker_lookup(robot_data):
marker_id = int(marker.get("id", -1))
# negative IDs ignorieren
if marker_id < 0:
continue
# Nur absolute Weltpositionen verwenden
# Nur absolute Marker verwenden
if "position" not in marker:
continue
@@ -105,29 +145,32 @@ def build_marker_lookup(robot_data):
if len(pos) != 3:
continue
marker_lookup[marker_id] = np.array(
rotation = get_marker_rotation(marker)
marker_lookup[marker_id] = {
"position": np.array(
pos,
dtype=np.float32
)
),
"rotation": rotation,
"on": marker.get("on", "unknown")
}
return marker_lookup
def build_marker_object_points(marker_center_world, marker_size_m):
"""
Baut die 3D-Eckpunkte eines Markers auf.
Wichtig:
Die Corner-Reihenfolge MUSS zur OpenCV-ArUco-Reihenfolge passen.
# ============================================================
# Marker-Eckpunkte
# ============================================================
Reihenfolge:
top-left
top-right
bottom-right
bottom-left
"""
def build_marker_object_points(
marker_center_world,
marker_rotation,
marker_size_m):
half = marker_size_m / 2.0
# OpenCV Corner Reihenfolge
local = np.array([
[-half, half, 0.0],
[ half, half, 0.0],
@@ -135,7 +178,113 @@ def build_marker_object_points(marker_center_world, marker_size_m):
[-half, -half, 0.0],
], dtype=np.float32)
return local + marker_center_world.reshape(1, 3)
rotated = (marker_rotation @ local.T).T
return rotated + marker_center_world.reshape(1, 3)
# ============================================================
# Qualitätsmetriken
# ============================================================
def compute_marker_spread(points_3d):
if len(points_3d) < 2:
return 0.0
mins = np.min(points_3d, axis=0)
maxs = np.max(points_3d, axis=0)
diag = np.linalg.norm(maxs - mins)
return float(diag)
def compute_viewing_angles(
camera_position,
marker_lookup,
used_markers):
results = []
for marker_id in used_markers:
marker = marker_lookup[marker_id]
pos = marker["position"]
R = marker["rotation"]
normal = R[:, 2]
to_camera = normalize(camera_position - pos)
dot = np.clip(
np.dot(normal, to_camera),
-1.0,
1.0
)
angle = math.degrees(math.acos(dot))
results.append(angle)
if len(results) == 0:
return {
"mean": None,
"max": None
}
return {
"mean": float(np.mean(results)),
"max": float(np.max(results))
}
def compute_pose_quality(
rms,
max_err,
num_markers,
marker_spread,
viewing_angle_mean):
score = 100.0
# Reprojection Error
score -= rms * 8.0
# Max Error
score -= max_err * 2.0
# Wenige Marker
if num_markers < 2:
score -= 50
elif num_markers < 4:
score -= 25
elif num_markers < 6:
score -= 10
# Schlechte räumliche Verteilung
if marker_spread < 0.10:
score -= 30
elif marker_spread < 0.25:
score -= 15
# Schlechter Blickwinkel
if viewing_angle_mean is not None:
if viewing_angle_mean > 70:
score -= 25
elif viewing_angle_mean > 50:
score -= 10
score = max(0.0, min(100.0, score))
return float(score)
# ============================================================
@@ -148,28 +297,24 @@ def main():
parser.add_argument(
"--detections",
required=True,
help="ArUco detection JSON"
required=True
)
parser.add_argument(
"--robots",
required=True,
help="robots.json"
required=True
)
parser.add_argument(
"--min-confidence",
type=float,
default=0.5,
help="Minimale Marker-Confidence"
default=0.5
)
parser.add_argument(
"--max-reprojection-error",
type=float,
default=3.0,
help="Maximal erlaubter Reprojektionsfehler in Pixel"
default=3.0
)
args = parser.parse_args()
@@ -185,7 +330,7 @@ def main():
robot_data = json.load(f)
# ============================================================
# Kamera-Parameter
# Kamera
# ============================================================
K = np.array(
@@ -199,19 +344,20 @@ def main():
).reshape(-1, 1)
# ============================================================
# Bekannte Marker
# Marker laden
# ============================================================
known_markers = build_marker_lookup(robot_data)
# ============================================================
# 2D/3D Punktlisten aufbauen
# Punktlisten
# ============================================================
object_points = []
image_points = []
used_markers = []
rejected_markers = []
detections = detection_data["detections"]
@@ -219,20 +365,41 @@ def main():
marker_id = int(det["marker_id"])
confidence = float(det.get("confidence", 1.0))
confidence = float(
det.get("confidence", 1.0)
)
reason = None
if confidence < args.min_confidence:
reason = "low_confidence"
elif marker_id not in known_markers:
reason = "unknown_marker"
if reason is not None:
rejected_markers.append({
"marker_id": marker_id,
"reason": reason,
"confidence": confidence
})
continue
if marker_id not in known_markers:
continue
marker_info = known_markers[marker_id]
marker_center_world = known_markers[marker_id]
marker_center_world = marker_info["position"]
marker_size = float(det["marker_size_m"])
marker_rotation = marker_info["rotation"]
marker_size = float(
det["marker_size_m"]
)
obj_pts = build_marker_object_points(
marker_center_world,
marker_rotation,
marker_size
)
@@ -246,25 +413,60 @@ def main():
used_markers.append(marker_id)
# ============================================================
# Ausgabe vorbereiten
# ============================================================
out = {
"success": False,
"camera_pose": None,
"quality": {},
"used_markers": [],
"rejected_markers": rejected_markers,
"all_detected_markers": [
int(d["marker_id"])
for d in detections
]
}
# ============================================================
# Zu wenige Marker
# ============================================================
if len(object_points) == 0:
raise RuntimeError(
"Keine bekannten Marker gefunden."
out["quality"] = {
"error": "no_known_markers",
"num_detected_markers": len(detections),
"num_used_markers": 0
}
out_file = Path(args.detections).with_suffix(
".camera_pose.json"
)
object_points = np.concatenate(object_points, axis=0)
image_points = np.concatenate(image_points, axis=0)
with open(out_file, "w", encoding="utf-8") as f:
json.dump(out, f, indent=2)
print()
print("==================================================")
print("Bekannte Marker verwendet:")
print(sorted(set(used_markers)))
print("==================================================")
print()
print("Keine bekannten Marker gefunden.")
print(out_file)
return
# ============================================================
# solvePnP
# ============================================================
object_points = np.concatenate(
object_points,
axis=0
)
image_points = np.concatenate(
image_points,
axis=0
)
success, rvec, tvec = cv2.solvePnP(
object_points,
image_points,
@@ -274,10 +476,24 @@ def main():
)
if not success:
raise RuntimeError("solvePnP fehlgeschlagen")
out["quality"] = {
"error": "solvepnp_failed",
"num_used_markers": len(set(used_markers))
}
out_file = Path(args.detections).with_suffix(
".camera_pose.json"
)
with open(out_file, "w", encoding="utf-8") as f:
json.dump(out, f, indent=2)
print("solvePnP fehlgeschlagen")
return
# ============================================================
# Kamera-Pose berechnen
# Kamera Pose
# ============================================================
R_wc, cam_pos = rvec_tvec_to_camera_pose(
@@ -285,10 +501,12 @@ def main():
tvec
)
roll, pitch, yaw = rotation_matrix_to_euler_zyx(R_wc)
roll, pitch, yaw = rotation_matrix_to_euler_zyx(
R_wc
)
# ============================================================
# Reprojektionsfehler
# Reprojektion
# ============================================================
projected, _ = cv2.projectPoints(
@@ -306,51 +524,85 @@ def main():
axis=1
)
rms = np.sqrt(np.mean(reproj_error ** 2))
max_err = np.max(reproj_error)
rms = float(
np.sqrt(np.mean(reproj_error ** 2))
)
max_err = float(
np.max(reproj_error)
)
# ============================================================
# Qualität
# ============================================================
marker_positions = np.array([
known_markers[mid]["position"]
for mid in set(used_markers)
])
marker_spread = compute_marker_spread(
marker_positions
)
viewing = compute_viewing_angles(
cam_pos,
known_markers,
set(used_markers)
)
quality_score = compute_pose_quality(
rms,
max_err,
len(set(used_markers)),
marker_spread,
viewing["mean"]
)
# ============================================================
# Ausgabe
# ============================================================
print()
print("==================================================")
print("KAMERA-POSE")
print("==================================================")
print()
print()
print("Position [m]")
print(f"X = {cam_pos[0]:.6f}")
print(f"Y = {cam_pos[1]:.6f}")
print(f"Z = {cam_pos[2]:.6f}")
print()
print("Orientation [deg]")
print(f"Roll = {roll:.3f}")
print(f"Pitch = {pitch:.3f}")
print(f"Yaw = {yaw:.3f}")
print()
print("Reprojection Error")
print("Reprojection")
print(f"RMS = {rms:.3f}px")
print(f"MAX = {max_err:.3f}px")
print()
print("Quality")
print(f"Score = {quality_score:.1f}/100")
print(f"Marker Spread = {marker_spread:.3f}m")
if max_err > args.max_reprojection_error:
print("[WARNUNG] Reprojektionsfehler relativ hoch")
else:
print("[OK] Pose stabil")
print()
if viewing["mean"] is not None:
print(
f"Mean Viewing Angle = "
f"{viewing['mean']:.1f}deg"
)
# ============================================================
# JSON speichern
# ============================================================
out = {
"camera_pose": {
out["success"] = True
out["camera_pose"] = {
"position_m": {
"x": float(cam_pos[0]),
"y": float(cam_pos[1]),
@@ -360,22 +612,38 @@ def main():
"roll": float(roll),
"pitch": float(pitch),
"yaw": float(yaw),
}
},
"quality": {
"reprojection_rms_px": float(rms),
"reprojection_max_px": float(max_err),
"num_markers_used": len(set(used_markers)),
"markers_used": sorted(set(used_markers))
}
"rotation_matrix_world_from_camera": (
R_wc.tolist()
)
}
out_file = Path(args.detections).with_suffix(".camera_pose.json")
out["quality"] = {
"pose_quality_score": quality_score,
"reprojection_rms_px": rms,
"reprojection_max_px": max_err,
"num_detected_markers": len(detections),
"num_used_markers": len(set(used_markers)),
"marker_spread_m": marker_spread,
"mean_viewing_angle_deg": viewing["mean"],
"max_viewing_angle_deg": viewing["max"],
"pose_stable":
max_err <= args.max_reprojection_error
}
out["used_markers"] = sorted(
list(set(used_markers))
)
out_file = Path(args.detections).with_suffix(
".camera_pose.json"
)
with open(out_file, "w", encoding="utf-8") as f:
json.dump(out, f, indent=2)
print(f"Pose gespeichert in:")
print()
print("Gespeichert:")
print(out_file)

View File

@@ -0,0 +1,765 @@
#!/usr/bin/env python3
"""
3_fuse_markers_world.py
PHASE 1B
---------
Fusioniert Marker-Weltkoordinaten aus mehreren Kameras.
EINGABE:
--json *.camera_pose.json (mehrfach möglich)
--robots robot.json
Das Script findet automatisch:
*.aruco_detection.json
Beispiel:
snapshot_video0_1779690911822_aruco_detection.camera_pose.json
->
snapshot_video0_1779690911822_aruco_detection.json
FEATURES:
- mehrere Kameras (2..5)
- automatische Detection-Datei-Erkennung
- bekannte Marker aus robot.json
- unbekannte Marker triangulieren
- gewichtete Marker-Fusion
- Qualitätsmetriken
- CSV Export
- JSON Export
- Kamera Export
- robuste Fehlerbehandlung
- vorbereitet für spätere Rigid-Body Constraints
OUTPUT:
fused_markers.csv
fused_markers.json
Benötigt:
pip install opencv-python numpy
"""
import argparse
import csv
import json
import math
from collections import defaultdict
from pathlib import Path
import cv2
import numpy as np
# ============================================================
# JSON HELPERS
# ============================================================
def load_json(path):
with open(path, "r", encoding="utf-8") as f:
return json.load(f)
def save_json(path, data):
with open(path, "w", encoding="utf-8") as f:
json.dump(data, f, indent=2)
# ============================================================
# FILE MATCHING
# ============================================================
def find_detection_json(camera_pose_json_path):
"""
Findet automatisch die passende
*_aruco_detection.json Datei.
Beispiel:
INPUT:
snapshot_video0_123_aruco_detection.camera_pose.json
OUTPUT:
snapshot_video0_123_aruco_detection.json
"""
pose_path = Path(camera_pose_json_path)
name = pose_path.name
if not name.endswith(".camera_pose.json"):
raise ValueError(
f"Expected .camera_pose.json: {pose_path}"
)
detection_name = name.replace(
".camera_pose.json",
".json"
)
detection_path = pose_path.with_name(
detection_name
)
if not detection_path.exists():
raise FileNotFoundError(
"Matching detection JSON not found:\n"
f"{detection_path}"
)
return detection_path
# ============================================================
# CAMERA POSE
# ============================================================
def extract_camera_pose(camera_pose_data):
if "camera_pose" not in camera_pose_data:
raise ValueError("camera_pose missing")
pose = camera_pose_data["camera_pose"]
pos = pose["position_m"]
cam_pos = np.array([
pos["x"],
pos["y"],
pos["z"]
], dtype=np.float32)
if "rotation_matrix_world_from_camera" in pose:
R_wc = np.array(
pose["rotation_matrix_world_from_camera"],
dtype=np.float32
)
else:
ori = pose["orientation_deg"]
R_wc = euler_to_rotation_matrix(
ori["roll"],
ori["pitch"],
ori["yaw"]
)
return R_wc, cam_pos
# ============================================================
# INTRINSICS
# ============================================================
def extract_intrinsics(detection_data):
if "camera" not in detection_data:
raise ValueError("camera section missing")
camera = detection_data["camera"]
if "camera_matrix" not in camera:
raise ValueError("camera_matrix missing")
if "distortion_coefficients" not in camera:
raise ValueError("distortion_coefficients missing")
K = np.array(
camera["camera_matrix"],
dtype=np.float32
)
D = np.array(
camera["distortion_coefficients"],
dtype=np.float32
).reshape(-1, 1)
return K, D
# ============================================================
# ROTATION HELPERS
# ============================================================
def euler_to_rotation_matrix(
roll_deg,
pitch_deg,
yaw_deg
):
r = math.radians(roll_deg)
p = math.radians(pitch_deg)
y = math.radians(yaw_deg)
Rx = np.array([
[1, 0, 0],
[0, math.cos(r), -math.sin(r)],
[0, math.sin(r), math.cos(r)]
])
Ry = np.array([
[math.cos(p), 0, math.sin(p)],
[0, 1, 0],
[-math.sin(p), 0, math.cos(p)]
])
Rz = np.array([
[math.cos(y), -math.sin(y), 0],
[math.sin(y), math.cos(y), 0],
[0, 0, 1]
])
return Rz @ Ry @ Rx
# ============================================================
# ROBOT MARKERS
# ============================================================
def build_known_marker_lookup(robot_data):
"""
Nur Marker mit ABSOLUTER Weltposition.
relPos wird in Phase 2 verwendet.
"""
lookup = {}
for marker in robot_data.get("Marker", []):
marker_id = int(marker.get("id", -1))
if marker_id < 0:
continue
if "position" not in marker:
continue
pos = marker["position"]
if pos is None:
continue
if len(pos) != 3:
continue
lookup[marker_id] = np.array(
pos,
dtype=np.float32
)
return lookup
# ============================================================
# MARKER POSE REL CAMERA
# ============================================================
def estimate_marker_pose_camera(
image_points,
marker_size,
K,
D
):
half = marker_size / 2.0
object_points = np.array([
[-half, half, 0],
[half, half, 0],
[half, -half, 0],
[-half, -half, 0]
], dtype=np.float32)
image_points = np.array(
image_points,
dtype=np.float32
)
success, rvec, tvec = cv2.solvePnP(
object_points,
image_points,
K,
D,
flags=cv2.SOLVEPNP_IPPE_SQUARE
)
if not success:
return None
R_mc, _ = cv2.Rodrigues(rvec)
return {
"rvec": rvec,
"tvec": tvec.reshape(3),
"R_mc": R_mc
}
# ============================================================
# MARKER WORLD TRANSFORM
# ============================================================
def marker_world_position(
cam_world_pos,
R_wc,
t_mc
):
"""
Marker Mittelpunkt in Weltkoordinaten.
X_world = R_wc * X_cam + C
"""
return (
R_wc @ t_mc.reshape(3)
) + cam_world_pos
# ============================================================
# WEIGHTING
# ============================================================
def compute_marker_weight(
detection,
camera_pose_data
):
"""
Qualitätsgewicht.
Verwendet:
- confidence
- reprojection RMS
- Bildzentrum
- Markerfläche
- Sharpness
"""
confidence = float(
detection.get("confidence", 0.5)
)
quality = detection.get("quality", {})
area_px = float(
quality.get("area_px", 1000)
)
sharpness = quality.get(
"sharpness", {}
)
lap_var = float(
sharpness.get(
"laplacian_var",
500
)
)
geometry = quality.get(
"geometry", {}
)
dist_center = float(
geometry.get(
"distance_to_center_norm",
0.5
)
)
pose_quality = camera_pose_data.get(
"quality",
{}
)
reproj = float(
pose_quality.get(
"reprojection_rms_px",
10.0
)
)
reproj_weight = 1.0 / (1.0 + reproj)
area_weight = min(
area_px / 2000.0,
1.0
)
sharpness_weight = min(
lap_var / 5000.0,
1.0
)
center_weight = 1.0 - dist_center
weight = (
confidence *
reproj_weight *
area_weight *
sharpness_weight *
center_weight
)
return max(weight, 1e-6)
# ============================================================
# FUSION
# ============================================================
def weighted_average(points, weights):
points = np.array(points)
weights = np.array(weights)
if len(points) == 1:
return points[0]
total_weight = np.sum(weights)
if total_weight < 1e-9:
return np.mean(points, axis=0)
return np.sum(
points * weights[:, None],
axis=0
) / total_weight
# ============================================================
# MAIN
# ============================================================
def main():
parser = argparse.ArgumentParser()
parser.add_argument(
"--json",
action="append",
required=True,
help="*.camera_pose.json"
)
parser.add_argument(
"--robots",
required=True,
help="robot.json"
)
parser.add_argument(
"--outdir",
default="."
)
args = parser.parse_args()
outdir = Path(args.outdir)
outdir.mkdir(
parents=True,
exist_ok=True
)
# ========================================================
# robot.json
# ========================================================
robot_data = load_json(
args.robots
)
known_markers = build_known_marker_lookup(
robot_data
)
# ========================================================
# globale Observationen
# ========================================================
observations = defaultdict(list)
camera_exports = []
# ========================================================
# alle Kameras
# ========================================================
for json_file in args.json:
print()
print("================================================")
print("LOAD CAMERA")
print("================================================")
print(json_file)
# ----------------------------------------------------
# camera pose json
# ----------------------------------------------------
camera_pose_data = load_json(
json_file
)
# ----------------------------------------------------
# detection json automatisch finden
# ----------------------------------------------------
detection_json = find_detection_json(
json_file
)
print(
f"Detection JSON:\n{detection_json}"
)
detection_data = load_json(
detection_json
)
# ----------------------------------------------------
# intrinsics
# ----------------------------------------------------
K, D = extract_intrinsics(
detection_data
)
# ----------------------------------------------------
# kamerapose
# ----------------------------------------------------
R_wc, cam_world_pos = extract_camera_pose(
camera_pose_data
)
camera_name = Path(
json_file
).stem
# ----------------------------------------------------
# camera export
# ----------------------------------------------------
camera_exports.append({
"camera": camera_name,
"x": float(cam_world_pos[0]),
"y": float(cam_world_pos[1]),
"z": float(cam_world_pos[2])
})
# ----------------------------------------------------
# detections
# ----------------------------------------------------
detections = detection_data.get(
"detections",
[]
)
print(
f"Detections: {len(detections)}"
)
# ----------------------------------------------------
# marker durchlaufen
# ----------------------------------------------------
for det in detections:
marker_id = int(
det["marker_id"]
)
marker_size = float(
det["marker_size_m"]
)
pose = estimate_marker_pose_camera(
det["image_points_px"],
marker_size,
K,
D
)
if pose is None:
continue
world_pos = marker_world_position(
cam_world_pos,
R_wc,
pose["tvec"]
)
weight = compute_marker_weight(
det,
camera_pose_data
)
observations[marker_id].append({
"world_pos": world_pos,
"weight": weight,
"camera": camera_name,
"confidence": float(
det.get("confidence", 0.5)
),
"known_marker": marker_id in known_markers
})
# ========================================================
# fusion
# ========================================================
fused_markers = []
print()
print("================================================")
print("FUSE MARKERS")
print("================================================")
for marker_id, obs_list in observations.items():
points = [
o["world_pos"]
for o in obs_list
]
weights = [
o["weight"]
for o in obs_list
]
fused = weighted_average(
points,
weights
)
spread = 0.0
if len(points) > 1:
dists = [
np.linalg.norm(p - fused)
for p in points
]
spread = float(
np.mean(dists)
)
known = marker_id in known_markers
mean_conf = float(np.mean([
o["confidence"]
for o in obs_list
]))
mean_weight = float(np.mean(weights))
print(
f"Marker {marker_id:3d} | "
f"cams={len(obs_list)} | "
f"spread={spread:.4f}m | "
f"known={known}"
)
fused_markers.append({
"marker_id": marker_id,
"x": float(fused[0]),
"y": float(fused[1]),
"z": float(fused[2]),
"num_cameras": len(obs_list),
"spread_m": spread,
"known_marker": known,
"mean_confidence": mean_conf,
"mean_weight": mean_weight
})
# ========================================================
# CSV EXPORT
# ========================================================
csv_file = outdir / "fused_markers.csv"
with open(
csv_file,
"w",
newline="",
encoding="utf-8"
) as f:
writer = csv.DictWriter(
f,
fieldnames=[
"marker_id",
"x",
"y",
"z",
"num_cameras",
"spread_m",
"known_marker",
"mean_confidence",
"mean_weight"
]
)
writer.writeheader()
for row in fused_markers:
writer.writerow(row)
# ========================================================
# JSON EXPORT
# ========================================================
export_json = {
"fused_markers": fused_markers,
"cameras": camera_exports
}
json_file = outdir / "fused_markers.json"
save_json(
json_file,
export_json
)
# ========================================================
# DONE
# ========================================================
print()
print("================================================")
print("EXPORT")
print("================================================")
print(csv_file)
print(json_file)
print()
# ============================================================
# ENTRY
# ============================================================
if __name__ == "__main__":
main()

File diff suppressed because it is too large Load Diff

View File

@@ -11,7 +11,7 @@ const TEST_SETUP_FILE = path.join(TEST_PATH, 'data', '0_testSetup.json');
const SCRIPT_FILE = path.join(PROJECT_PATH, 'programs', '1_detect_aruco_observations.py');
const ROBOT_PATH = path.join(__dirname, 'data', 'robot', 'robot.json');
const SCRIPT_FILE_2 = path.join(PROJECT_PATH, 'programs', '2_estimate_camera_pose_from_aruco_json.py');
const SCRIPT_FILE_3 = path.join(PROJECT_PATH, 'programs', '3_fuse_markers_world.py');
const cam = {
id : 'cam1',
@@ -19,7 +19,11 @@ const cam = {
intrinsics: path.join(PROJECT_PATH, 'data', 'settings','callibration_cam0.npz')
};
const cam2 = {
id : 'cam1',
image: 'snapshot_video0_1779690911822.jpg',
intrinsics: path.join(PROJECT_PATH, 'data', 'settings','callibration_cam0.npz')
};
describe('Check if Python 2 runs', () => {
@@ -61,6 +65,61 @@ describe('Check if Python 2 runs', () => {
});
test('Second File Run of Python second script', () => {
console.log('Intrinsics : ', cam.intrinsics);
execFileSync(PYTHON_CMD, [
SCRIPT_FILE,
'-i', path.join(SOURCE_DIR, cam2.image),
'-npz', cam.intrinsics,
'-robot', ROBOT_PATH,
'-cameraId', cam2.id
,
'-outDir', TARGET_DIR
], {
stdio: 'inherit',
cwd: SOURCE_DIR // <- wichtig
});
const resultFile = path.join(TARGET_DIR, 'snapshot_video0_1779690911822_aruco_detection.json');
if (!fs.existsSync(resultFile)) {
throw new Error(`Erwartete Datei fehlt: ${resultFile}`);
}
console.log('Intrinsics : ', cam.intrinsics);
execFileSync(PYTHON_CMD, [
SCRIPT_FILE_2,
'--detections' , resultFile,
'--robots', ROBOT_PATH
], {
stdio: 'inherit',
cwd: SOURCE_DIR // <- wichtig
});
});
test('Second File Run of Python second script', () => {
console.log('Intrinsics : ', cam.intrinsics);
execFileSync(PYTHON_CMD, [
SCRIPT_FILE_3,
'--json', path.join(TARGET_DIR, 'snapshot_video0_1779690911822_aruco_detection.camera_pose.json'),
'--json', path.join(TARGET_DIR, 'snapshot_video1_1779690911822_aruco_detection.camera_pose.json'),
'--robots', ROBOT_PATH
], {
stdio: 'inherit',
cwd: SOURCE_DIR // <- wichtig
});
});
/*
// ✅ Cleanup läuft IMMER nach jedem Test
afterEach(() => {

View File

@@ -0,0 +1,20 @@
marker_id,x,y,z,num_cameras,spread_m,known_marker,mean_confidence,mean_weight
219,0.43451087900435764,-0.2430617527365844,0.24864745186629233,2,0.049300733586341176,False,0.5277170316988301,0.009300142928461588
200,0.2883150365803509,0.0027948039097262806,0.09467189774796789,2,0.033606991516837784,False,0.7555202975260764,0.06883103535083403
210,0.002038147844813181,0.018380350725407422,-0.018394701031480637,2,0.006772066645204387,True,0.6723693051501728,0.0204532377982721
215,0.21054334774487873,-0.0718736597935183,-0.02391368422209966,2,0.013509208968825837,True,0.7724894180619204,0.08402370302052731
197,0.30386845803628715,-0.12692615651017353,0.06409248498248943,1,0.0,False,0.6986174216600093,0.14966530971529068
218,0.43184321660132874,-0.1704819414678139,0.16367009746963013,2,0.03802223210213124,False,0.3413914136453039,0.010365470204791368
229,0.3602436104705841,-0.11844379401765685,0.08440112143347289,2,0.032107134962667656,False,0.8405383706616931,0.06951698019008724
243,0.3687471932606844,-0.14650136025597116,0.042188479232535214,1,0.0,False,0.65908988611209,0.10324035134123742
211,0.2137591400767156,0.026959799238792163,-0.028605385312781718,2,0.010891850650024732,True,0.6444060145125223,0.050073587946979366
198,0.35259204770580493,-0.030524117439818314,0.08694698191739618,2,0.02706837734419262,False,0.7253533793498493,0.058021822336083224
201,0.24149429994177674,0.06896595765348834,0.09401141969091542,1,0.0,False,0.4573781640909966,0.04398530324515346
204,0.27355941290220315,0.13289470613188933,0.1235983427523017,2,0.02985425204964259,False,0.5691140927436947,0.023331477027783525
217,0.6516780631570386,0.043108222213155606,-0.050180784675989236,2,0.049194700206082534,True,0.5355335672966184,0.014438151705364624
196,0.3889281825540628,-0.37463423301617327,0.2628466843421774,1,0.0,False,0.9637599331074872,0.012495067650793962
180,0.42148181203795254,-0.3888496207938902,0.3076404324887513,1,0.0,False,0.6855326216817852,0.003758399623359111
189,0.39699505778356714,-0.414056777239273,0.2548045860642588,1,0.0,False,0.5680798096818698,0.005206949324425661
208,0.5002433623385828,-0.10538715198248683,-0.04743817619792867,1,0.0,True,0.7535707616050168,0.006307514070673037
214,0.41191377730374135,-0.0008334112347655465,-0.03314121580279006,1,0.0,True,0.6847250665842876,0.005021652275542729
226,0.4275023262853984,-0.13129556163502792,0.04582380048078871,1,0.0,False,0.10322993259729876,0.0003523077820839931
1 marker_id x y z num_cameras spread_m known_marker mean_confidence mean_weight
2 219 0.43451087900435764 -0.2430617527365844 0.24864745186629233 2 0.049300733586341176 False 0.5277170316988301 0.009300142928461588
3 200 0.2883150365803509 0.0027948039097262806 0.09467189774796789 2 0.033606991516837784 False 0.7555202975260764 0.06883103535083403
4 210 0.002038147844813181 0.018380350725407422 -0.018394701031480637 2 0.006772066645204387 True 0.6723693051501728 0.0204532377982721
5 215 0.21054334774487873 -0.0718736597935183 -0.02391368422209966 2 0.013509208968825837 True 0.7724894180619204 0.08402370302052731
6 197 0.30386845803628715 -0.12692615651017353 0.06409248498248943 1 0.0 False 0.6986174216600093 0.14966530971529068
7 218 0.43184321660132874 -0.1704819414678139 0.16367009746963013 2 0.03802223210213124 False 0.3413914136453039 0.010365470204791368
8 229 0.3602436104705841 -0.11844379401765685 0.08440112143347289 2 0.032107134962667656 False 0.8405383706616931 0.06951698019008724
9 243 0.3687471932606844 -0.14650136025597116 0.042188479232535214 1 0.0 False 0.65908988611209 0.10324035134123742
10 211 0.2137591400767156 0.026959799238792163 -0.028605385312781718 2 0.010891850650024732 True 0.6444060145125223 0.050073587946979366
11 198 0.35259204770580493 -0.030524117439818314 0.08694698191739618 2 0.02706837734419262 False 0.7253533793498493 0.058021822336083224
12 201 0.24149429994177674 0.06896595765348834 0.09401141969091542 1 0.0 False 0.4573781640909966 0.04398530324515346
13 204 0.27355941290220315 0.13289470613188933 0.1235983427523017 2 0.02985425204964259 False 0.5691140927436947 0.023331477027783525
14 217 0.6516780631570386 0.043108222213155606 -0.050180784675989236 2 0.049194700206082534 True 0.5355335672966184 0.014438151705364624
15 196 0.3889281825540628 -0.37463423301617327 0.2628466843421774 1 0.0 False 0.9637599331074872 0.012495067650793962
16 180 0.42148181203795254 -0.3888496207938902 0.3076404324887513 1 0.0 False 0.6855326216817852 0.003758399623359111
17 189 0.39699505778356714 -0.414056777239273 0.2548045860642588 1 0.0 False 0.5680798096818698 0.005206949324425661
18 208 0.5002433623385828 -0.10538715198248683 -0.04743817619792867 1 0.0 True 0.7535707616050168 0.006307514070673037
19 214 0.41191377730374135 -0.0008334112347655465 -0.03314121580279006 1 0.0 True 0.6847250665842876 0.005021652275542729
20 226 0.4275023262853984 -0.13129556163502792 0.04582380048078871 1 0.0 False 0.10322993259729876 0.0003523077820839931