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    • Home (overview)
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  • Cislunar glossary (terms & definitions)

    • Cislunar Space Glossary
    • Fundamentals

      • Absolute Range
      • Aerodynamic Coefficient
      • Aerodynamic Moment
      • Aerospace Vehicle
      • Allan Deviation (ADEV)
      • Ballistic Coefficient
      • Bi-Elliptic Transfer
      • Body Frame
      • Celestial Coordinate System
      • Celestial Sphere
      • Characteristic Velocity
      • Coverage Angle
      • Dual One-Way Ranging (DOWR)
      • Earth Ellipsoid
      • Earth Oblateness Perturbation
      • Earth-Centered Earth-Fixed Frame (ECEF)
      • Einstein Equivalence Principle (EEP)
      • Energy Parameter
      • Earth Observation (EO)
      • Finite Thrust Maneuver
      • Free-Flight Phase
      • Free-Flight Trajectory
      • Frozen Orbit
      • Gaussian Perturbation Equations
      • Geocentric Inertial Frame
      • GPS Time
      • Gravitational Potential
      • Gravitational Redshift
      • Gravity Turn
      • Gravity vs Gravitation
      • High Altitude Airship (HAA)
      • Hit Equation
      • Hohmann Transfer
      • Inertial Navigation System
      • Instantaneous Balance Assumption
      • In-Situ Resource Utilization (ISRU)
      • Julian Date
      • Kepler's Equation
      • Korea Multi-Purpose Satellite (KOMPSAT)
      • Lagrangian Perturbation Equations
      • Launch Azimuth
      • Launch Window
      • Lift-to-Drag Ratio
      • Load Factor
      • Longitudinal and Lateral Motion
      • Lunar Lander
      • Minimum Energy Trajectory
      • Near-space
      • Newton's Iteration Method
      • Nuri (KSLV-II)
      • Nutation
      • Optimal Velocity Inclination
      • Orbit Capture
      • Orbit Insertion Conditions
      • Orbital Elements
      • Orbital Equation
      • Orbital Maneuver
      • Orbital Phase
      • Orbital Transfer Vehicle
      • Passive Hydrogen Maser (PHM)
      • Perturbation Motion
      • Phasing Orbit
      • Pitch Program Angle
      • Powered Phase
      • Precession
      • Center of Pressure
      • Range Error Coefficient
      • Reentry Corridor
      • Reentry Phase
      • Repeat Ground Track Orbit
      • Reusable Launch Vehicle
      • Synthetic Aperture Radar (SAR)
      • Satellite Ring
      • Sequential Quadratic Programming
      • Skip Reentry
      • Solar Exposure Factor
      • Specific Angular Momentum
      • Specific Impulse
      • Stagnation Heat Flux
      • Standard Atmosphere
      • Stratospheric Airship
      • Subsatellite Track
      • Sun-Synchronous Orbit
      • Thrust-to-Weight Ratio
      • Thrust
      • Total Angle of Attack
      • Trajectory Equation
      • Trajectory Optimization
      • Trim Angle of Attack
      • True Anomaly
      • Tsiolkovsky Rocket Equation
      • Powered Phase Turning Process
      • Two-Body Problem
      • Coordinated Universal Time
      • Variation of Parameters
      • Velocity Frame
      • Velocity Inclination Angle
      • Vis-Viva Equation
      • Very Low Earth Orbit (VLEO)
      • Walker Constellation
      • Zero-Angle-of-Attack Reentry
    • Dynamics & math

      • A* Search Algorithm (A* Search)
      • A2PPO (Attention-Augmented Proximal Policy Optimization)
      • Action-Angle Variables
      • Backstepping Sliding Mode Control
      • Backward Stability Set
      • Bang-bang Control (Bang-bang Control)
      • Barycentric Synodic Coordinate System
      • Batch Deployment (Batch Deployment)
      • Bicircular Four-Body Problem
      • Birkhoff-Gustavson Normal Form
      • Buoyancy-weight Imbalance
      • Capture Set
      • Central Manifold
      • Chaos Effect
      • Clohessy-Wiltshire (CW) Equation
      • Co-state Normalization (Co-state Normalization)
      • Co-state Variables
      • Coasting Arc (Coasting Arc)
      • Continuation Method (Parameter Continuation)
      • Continuation
      • Cooperative Agent (CA)
      • CR3BP with Low-Thrust (CR3BP-LT)
      • Circular Restricted Three-Body Problem (CR3BP)
      • Curriculum Learning
      • Deep Deterministic Policy Gradient (DDPG)
      • Deep Reinforcement Learning
      • Detection Graph
      • Differential Correction
      • Differential Evolution (DE) Algorithm
      • Differential Games (Differential Games)
      • Direct Collocation
      • Dynamic Programming (Dynamic Programming)
      • Dynamic Target Method
      • Ephemeris Model
      • Equinoctial Orbital Elements (Equinoctial Orbital Elements)
      • Earth Restricted Three-Body Problem (ERTBP)
      • Fuel-optimal Control
      • Fuzzy Backstepping Control
      • Generalized Advantage Estimation (GAE)
      • Gaussian Process Regression
      • Geocentric Rotating Coordinate System (GRC)
      • Hamiltonian
      • Hybrid Cluster Particle Swarm Optimization (HCPSO)
      • Heteroclinic Orbit Transfer (Heteroclinic Orbit Transfer)
      • Hill Three-Body Problem
      • Homotopy Method (Homotopy Method)
      • Improved Baseline Control-Point Method (Improved Baseline Control-Point Method)
      • Impulsive Maneuver
      • Initial Value Optimization
      • Invariant Manifold (Invariant Manifold)
      • J2000 Geocentric Equatorial Coordinate System (J2000 Geocentric Equatorial Coordinate System)
      • Jacobi Constant (Jacobi Integral)
      • K-Means Clustering (K-Means Clustering)
      • K-Medoids Clustering (K-Medoids Clustering)
      • KD-Tree (KD-Tree)
      • Libration Point (Equilibrium Point)
      • Libration Point Spacecraft Body Coordinate System (Libration Point Spacecraft Body Coordinate System)
      • Libration Point Spacecraft Orbital Coordinate System (Libration Point Spacecraft Orbital Coordinate System)
      • Lindstedt-Poincare Method (Lindstedt-Poincare Method)
      • L2-centered Rotating Coordinate System (L2-centered Rotating Coordinate System, LRC)
      • LSTM Neural Network
      • Low-Thrust Transfer MDP Formulation
      • Mass Discontinuity (Mass Discontinuity)
      • Multi-Objective Monte Carlo Tree Search (MO-MCTS)
      • Modal Analysis
      • Monodromy Matrix
      • Monte Carlo Tree Search
      • Newton-Euler Equations
      • NSGA II (Non-dominated Sorting Genetic Algorithm II)
      • Pareto Optimality
      • Particle Swarm Optimization
      • Patch Point (Splicing Point)
      • Patched Method
      • Poincaré Map
      • Poincaré Section
      • Pontryagin's Maximum Principle
      • Pseudo-Arclength Continuation
      • Spacecraft Pursuit-Evasion Game
      • Q-Law Control Law
      • Quasi-Bicircular Problem (QBCP)
      • Quasi-Bicircular Four-Body Problem
      • Reachable Set
      • Reduced-Order Dynamic Equations
      • Regional Station-keeping Control
      • Regularization
      • Reinforcement Learning Enhanced Particle Swarm Optimization (RLEPSO)
      • Saddle-Point Strategy
      • Seven-node Model
      • Shooting Method
      • Six-DOF Motion Equations
      • Sliding Mode Control
      • Solar Radiation Pressure (SRP)
      • Stability Index
      • Stability Set
      • State-Dependent Traveling Salesman Problem (SDTSP)
      • State Transition Matrix (STM)
      • Static Lift
      • Strobe Map
      • Switching Function
      • Targeting Method
      • Thermo-mechanical Coupling Model
      • Thermodynamic Model
      • Two-Point Boundary Value Problem (TPBVP)
      • Trim Condition
      • Two-Dominant Invariant Manifold Method
      • Two-Level Differential Correction Method
      • Two-node Model
      • Variational Mode Decomposition
      • Zero-Effort Miss (ZEM)
      • Zero-Velocity Surface
    • Mission orbits

      • Apolune
      • Axial Orbit
      • Ballistic Capture Orbit
      • Butterfly Orbit
      • Cycler Trajectory
      • Distant Prograde Orbit (DPO)
      • DRO Constellation
      • Distant Retrograde Orbit (DRO)
      • Earth-Moon L1/L2 Halo Orbit (EML1/EML2 Halo)
      • Free-Return Trajectory
      • Full Lunar Surface Coverage Orbit
      • Halo Orbit
      • Heteroclinic Connection
      • Horseshoe Orbit
      • Hub-and-Spoke
      • Lissajous Orbit
      • Long Period Orbit
      • Low Prograde Orbit (LoPO)
      • Low-Energy Transfer Orbit
      • Low-Thrust Transfer Orbit
      • Lyapunov Orbit
      • Multi-Revolution Halo Orbit
      • Near-Rectilinear Halo Orbit (NRHO)
      • Orbit Identification
      • Orbit Keeping (Station-Keeping)
      • Parking Orbit
      • Perilune
      • Polynomial Constraint Station-Keeping
      • Primary Impulse Orbit Transfer
      • Prograde
      • Quasi-Periodic Orbit
      • Resonance Orbit
      • Retrograde
      • Short Period Orbit
      • Transfer Orbit
      • Triangular Libration Points
      • Vertical Orbit
    • Navigation & systems

      • Altitude Regulation
      • Autonomous Navigation
      • Cislunar Spatiotemporal Reference
      • Earth-Moon Hybrid Navigation
      • Extended Kalman Filter (EKF)
      • GPS Aided GEO Augmented Navigation (GAGAN)
      • Earth GNSS Weak Signal Navigation
      • Inter-Satellite Link Navigation
      • Indian Regional Navigation Satellite System (IRNSS)
      • LEO Navigation Augmentation
      • LiAISON Navigation
      • LunaNet (Lunar Network)
      • Lunar Navigation Constellation
      • Moonlight Initiative
      • Observability
      • Positioning, Navigation, and Timing (PNT)
      • Sun-Earth-Moon Autonomous Navigation
      • Tiandu-1
      • Trajectory Planning
      • X-ray Pulsar Navigation
    • Astronomy & observation

      • Astrometry
      • Background Star Elimination
      • Cislunar Moving Objects
      • Continuous Coverage (CP)
      • Earth Albedo
      • Ephemeris Correlation
      • Hot Pixel
      • Illumination Constraint
      • Image Registration
      • Image Stacking
      • Infrared Radiation
      • Lunar Glare Zone
      • Pointing Constraint
      • Quasi-zero Wind Layer
      • Segmentation Map
      • Shift-and-Add (SAA)
      • Sidereal Tracking
      • Signal-to-Noise Ratio (SNR)
      • Solar Radiation
      • Source Extraction
      • Synthetic Tracking
      • Zonal Wind
    • Military space doctrine

      • Anti-Satellite Test (ASAT)
      • Cislunar Space Situational Awareness
      • Civil-Military Integration
      • Competitive Endurance
      • Component Field Commands
      • Commander, Space Forces (COMSPACEFOR)
      • Counterspace Operations
      • Directed Energy Weapon (DEW)
      • Distributed Architecture
      • DOTMLPF-P Framework
      • Force Design
      • Force Development
      • Force Employment
      • Force Generation
      • Golden Dome
      • Kinetic Weapon
      • Mission Command
      • Mission Delta (MD)
      • Operational Test and Training Infrastructure (OTTI)
      • Persistent Detection Corridor (PDC)
      • Resilience Map
      • Resilient/Disaggregated Architecture
      • Space Domain Awareness (SDA)
      • Space Mission Task Force (SMTF)
      • Space Superiority
      • Space Force Generation Process (SPAFORGEN)
      • System Delta (SYD)
    • Organizations

      • Anduril Industries
      • Booz Allen Hamilton
      • Danuri Lunar Orbiter
      • General Dynamics Mission Systems
      • GITAI USA
      • Indian Space Research Organisation
      • Korea Aerospace Administration
      • Lockheed Martin
      • Northrop Grumman
      • Quindar
      • Raytheon Missiles & Defense
      • Sci-Tec
      • SpaceX
      • Satish Dhawan Space Centre SHAR
      • True Anomaly
      • Turion Space

Hot Pixel

Author: Tianjiang Says

Website: https://cislunarspace.cn

Definition

A hot pixel is an anomalous pixel in an astronomical sensor (CCD or CMOS) caused by manufacturing defects or radiation damage. These pixels continuously generate signals above normal levels (dark current) even without illumination, causing them to appear as abnormally bright isolated pixels or pixel clusters in output images.

Core Principles

Causes

Hot pixels arise primarily from:

  1. Manufacturing defects: impurities or defects in the silicon lattice during sensor manufacturing create additional carrier generation centers at specific pixel locations
  2. Radiation damage: sensors exposed to space radiation environments over time accumulate lattice defects from high-energy particle impacts, producing new hot pixels
  3. Temperature effects: the number and intensity of hot pixels are positively correlated with sensor temperature — higher temperatures mean greater dark current

Impact on Source Detection

The impact of hot pixels on astronomical image processing manifests primarily during the source detection stage. Sun et al. (2026) note that "hot pixels are common for wide-field sensors. This affects the source extraction, increasing the number of spurious detections."

Specific impacts include:

  • Spurious source detection: source detection algorithms may mistake hot pixels for real astronomical sources
  • Photometric errors: hot pixels can interfere with flux measurements of nearby real sources
  • Positional errors: hot pixels may cause systematic offsets in source positions

Special Impact on Stacking Search Algorithms

When using the stacking search algorithm (SAA) to detect moving objects, the impact of hot pixels is further amplified. Sun et al. (2026) warn: "after SAA, the number of spurious detections may increase dramatically, so it is important that the hot pixel problem is carefully addressed."

This occurs because the SAA algorithm shifts and stacks images under different velocity assumptions, and fixed-position hot pixels may coincide with the trajectories of real moving targets in different stacking combinations, producing large numbers of false detections.

Removal Methods

3×3 Median Filter

Sun et al. (2026) employ a 3×3 median filter to remove hot pixels. The principle is:

  1. For each pixel, replace it with the median value of its 3×3 neighborhood
  2. Hot pixels, due to their abnormally high values, are replaced by the normal background level
  3. This operation preserves most of the signal from real astronomical sources (since sources typically span multiple pixels)

Double-Interpolation Artifact Risk

A subtle artifact risk exists during hot pixel removal. Sun et al. (2026) point out that "the hot pixel and its interpolated counterpart may occupy areas that are too small to initially exceed the minimum detection area threshold, but after two consecutive interpolations, the artifact may be extracted as a distinct object."

This means that while the median filter can eliminate individual hot pixels, it may create a minor brightness anomaly at the hot pixel location that could evolve into a detectable spurious source after multiple image processing steps. Careful balancing between filter parameters and detection thresholds is therefore required.

Applications in Cislunar Observation

In optical surveys of cislunar moving objects, hot pixel processing is an indispensable step in the entire image processing pipeline. For wide-field survey telescopes, the number of hot pixels can be quite substantial; if not properly handled, they will severely degrade the survey's false alarm rate and detection efficiency.

Sun et al. (2026) schedule hot pixel removal before the stacking search algorithm, ensuring that images fed into the SAA are cleared of hot pixel interference, thereby effectively controlling the false alarm rate.

Related Concepts

  • Image Registration

  • Background Star Elimination

  • Cislunar Moving Objects

  • Segmentation Map

References

  • Sun, R., Zhang, Q., Yu, S., et al. Optical Survey for Cislunar Moving Objects Using Image Stacking. AJ, 2026.
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Last Updated: 6/5/26, 11:01 AM
Contributors: Hermes Agent, Cron Job, Ou Yang Jiahong
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