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Sensing · Fusion · 2026

Sensor Data Fusion Algorithms

How several sensors are combined into one better estimate: probabilistic filters, orientation and navigation methods, evidence-based reasoning, deep learning fusion, and the libraries that implement them.

32algorithms and tools
6Categories
6FAQs answered
01Probabilistic estimation & filters

Kalman filter

Recursively combines noisy measurements and a motion model to estimate the state of a system, and is the workhorse of sensor fusion.

Best for: Linear systems with Gaussian noise.

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02Probabilistic estimation & filters

Extended Kalman filter

Applies the Kalman filter to non-linear systems by linearising around the current estimate.

Best for: Navigation and robot localisation.

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03Probabilistic estimation & filters

Unscented Kalman filter

Uses the unscented transform to pass sample points through a non-linear model, often giving better accuracy than linearising.

Best for: Strongly non-linear models.

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04Probabilistic estimation & filters

Particle filter

Represents the estimate with many weighted samples, so it can handle non-linear, non-Gaussian problems.

Best for: Localisation and tracking with unusual noise.

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05Probabilistic estimation & filters

Recursive Bayesian estimation

The general framework that updates a probability estimate as each new measurement arrives; Kalman and particle filters are special cases.

Best for: Understanding the theory behind the filters.

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06Probabilistic estimation & filters

Covariance intersection

Fuses estimates when the correlation between them is unknown, avoiding over-confident results.

Best for: Decentralised and multi-platform fusion.

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07Probabilistic estimation & filters

Alpha-beta filter

A simple fixed-gain tracking filter, a lightweight relative of the Kalman filter.

Best for: Small microcontrollers.

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08Probabilistic estimation & filters

Moving horizon estimation

Estimates states by optimising over a recent window of measurements, handling constraints directly.

Best for: Constrained systems.

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09Probabilistic estimation & filters

Hidden Markov model

Models a hidden state that evolves over time and is seen only through noisy observations.

Best for: Activity and sequence recognition.

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10Orientation, navigation & mapping

AHRS (attitude and heading)

Combines gyroscope, accelerometer and magnetometer data to estimate orientation, often with Madgwick or Mahony style filters.

Best for: Orientation of drones, phones and wearables.

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11Orientation, navigation & mapping

Inertial navigation system

Dead-reckons position and velocity from inertial sensors, usually corrected by GNSS or other sensors.

Best for: Navigation without satellites.

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12Orientation, navigation & mapping

Visual odometry

Estimates motion from a sequence of camera images, and is often fused with inertial data.

Best for: Robots and AR headsets.

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13Orientation, navigation & mapping

SLAM

Builds a map of an unknown place while tracking the sensor's position within it, fusing cameras, LiDAR and inertial sensors.

Best for: Mobile robots and mapping.

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14Orientation, navigation & mapping

Factor graphs

A graph formulation used to optimise a whole trajectory and map jointly from many sensor constraints.

Best for: Smoothing and optimisation-based fusion.

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15Evidence & soft computing

Dempster–Shafer theory

Combines evidence from different sources and represents uncertainty and ignorance explicitly.

Best for: Conflicting or incomplete sensor evidence.

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16Evidence & soft computing

Fuzzy logic

Uses degrees of truth and rule-based reasoning to combine imprecise sensor information.

Best for: Control systems and rule-based fusion.

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17Learning-based fusion

Deep multi-modal detection and segmentation

A survey of datasets, methods and challenges in fusing camera, LiDAR and radar data with deep learning for driving.

Best for: Reading about fusion in autonomous driving.

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18Learning-based fusion

Multi-modal 3D object detection survey

A survey of 3D object detection methods that fuse camera and LiDAR data in autonomous driving.

Best for: Comparing early, mid and late fusion in 3D detection.

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19Learning-based fusion

BEVFusion

Open-source multi-task, multi-sensor fusion that unifies camera and LiDAR features in a bird's-eye-view space.

Best for: Camera and LiDAR fusion code.

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20Learning-based fusion

nuScenes dataset

A large public autonomous-driving dataset with camera, LiDAR and radar data for training and testing fusion.

Best for: Benchmarking multi-sensor models.

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21Learning-based fusion

KITTI benchmark suite

Widely used driving benchmarks with stereo, LiDAR and GPS/IMU data.

Best for: Evaluating fusion and odometry.

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22Concepts & overviews

Sensor fusion (overview)

Overview of combining sensory data from several sources to reduce uncertainty, including levels, architectures and examples.

Best for: The big picture.

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23Concepts & overviews

Data fusion

Background on integrating data from multiple sources, covering the wider field beyond sensors.

Best for: Related terminology and methods.

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24Libraries, tools & tutorials

MATLAB Sensor Fusion and Tracking Toolbox

MathWorks toolbox with algorithms and examples for fusing sensor data and tracking objects.

Best for: Prototyping and simulation.

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25Libraries, tools & tutorials

robot_localization (ROS)

ROS package that fuses odometry, IMU, GPS and other sensors into a state estimate using Kalman filters.

Best for: Mobile robots on ROS.

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26Libraries, tools & tutorials

GTSAM

C++ library for smoothing and mapping using factor graphs, with Python bindings.

Best for: Optimisation-based fusion.

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27Libraries, tools & tutorials

FilterPy

Python library for Kalman filters and other optimal estimators.

Best for: Quick Python experiments.

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28Libraries, tools & tutorials

Kalman and Bayesian Filters in Python

An open textbook in Jupyter notebooks that teaches Kalman and Bayesian filtering step by step.

Best for: Learning the maths with code.

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29Libraries, tools & tutorials

How a Kalman filter works, in pictures

An illustrated walkthrough of the Kalman filter's ideas and equations.

Best for: A gentle first read.

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30Libraries, tools & tutorials

Fusion (x-io Technologies)

A small C library for IMU and AHRS sensor fusion that runs on embedded devices.

Best for: Orientation on microcontrollers.

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31Libraries, tools & tutorials

PX4 EKF2 guide

PX4's documentation for its navigation filter, which fuses IMU, GPS, barometer and other sensors.

Best for: Drone state estimation.

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32Libraries, tools & tutorials

ArduPilot EKF overview

ArduPilot's overview and tuning guide for its extended Kalman filter navigation system.

Best for: Drone and vehicle navigation.

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Choosing the right approach

Match your requirement to a starting point, then compare vendors.

Learn the basicsStart with the Kalman filter and the illustrated tutorial
Non-linear systemExtended or unscented Kalman filter, or a particle filter
Phone, wearable or drone orientationAn AHRS filter, such as the x-io Fusion library
Robot localisation and mappingSLAM, factor graphs and robot_localization
Self-driving perceptionCamera and LiDAR fusion such as BEVFusion, with nuScenes or KITTI
Uncertain or conflicting evidenceDempster–Shafer theory or fuzzy logic
Prototype quicklyMATLAB toolbox or FilterPy

Related pages on PeterIndia.net

Neighbouring directories and hubs.

Frequently asked questions

Quick answers.

What is sensor data fusion?

It is the process of combining data from several sensors so that the result is more accurate, complete or reliable than any single sensor could give.

Why fuse sensors?

Each sensor has noise, drift or blind spots. For example, gyroscopes drift over time and accelerometers are noisy, but combining them gives stable orientation.

What are the levels of fusion?

Data can be combined as raw signals (early), as extracted features (mid) or as decisions (late). Deep learning systems often compare these choices.

What is the difference between a Kalman filter and a particle filter?

A Kalman filter assumes simple, Gaussian noise and is very efficient. A particle filter uses many samples and copes with non-linear and non-Gaussian problems, at a higher computing cost.

Which approach should I start with?

For most projects start with a Kalman filter or an extended Kalman filter, since there are many tutorials and libraries.

Where do the links go?

Algorithm cards link to Wikipedia articles, and tools and papers link to their own pages. Links were checked on 7 October 2026 and descriptions are written for this page.

Algorithm descriptions are written for this page and link to Wikipedia or to each tool's own page (checked 7 October 2026).