Free AV & Robotics Engineering Calculators

13 precision tools for autonomous vehicle and robotics engineers — covering safety distance, sensor fusion, SLAM, EKF, perception latency, camera optics, and more. Built from 25+ years of production deployment experience, not textbook theory.

🔍 13 tools

⭐ Core Perception & Localisation Tools

3 tools

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Sensor Planning

LiDAR Point Cloud Density Calculator

Estimate points per square metre, point spacing, and detection reliability at any range — using your sensor’s real beam count and firing rate. Essential for sensor selection and ODD specification.

LiDAR · Perception →

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Localisation

GPS-Denied Dead-Reckoning Drift Estimator

Estimate how far position error grows during a GPS outage based on IMU grade and speed — and how long you can navigate before drift exceeds acceptable limits in tunnels and urban canyons.

GPS · IMU · Localisation →

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Real-Time Performance

Perception-to-Control Latency Budget Calculator

Break down your pipeline’s end-to-end latency — sensor to actuator — and see whether it fits your target control loop rate, plus the distance your vehicle travels blind during that window.

Latency · Pipeline · ROS 2 →

🚗 Safety & Vehicle Dynamics

3 tools

🚗

Safety Engineering · ISO 22737

AV Safety Distance Calculator

Calculate minimum safe following distance incorporating system latency, braking differential, and perception uncertainty — the foundational calculation for every AV Safety Case regulatory submission.

Safety · ISO 22737 →

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Vehicle Dynamics

AV Stopping Distance Calculator

Calculate total stopping distance including system latency travel and braking distance — and the minimum forward detection range your sensor stack must achieve for safe emergency stops.

Braking · Detection Range →

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Pipeline Latency · Human vs AV

AV Reaction Time Calculator

Calculate end-to-end AV system reaction time across all pipeline stages — and compare it directly to the 750ms human average with the distance covered during your latency window.

Reaction · Latency · Human vs AV →

📷 Perception & Sensing

2 tools

📷

Computer Vision · Optics

Camera Field of View (FOV) Calculator

Calculate horizontal, vertical, and diagonal FOV from sensor dimensions and focal length — plus the exact ground coverage width and height at any detection range for AV camera stack design.

Camera · FOV · Optics →

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Object Detection Specification

Camera Resolution vs Distance Calculator

Calculate ground sample distance (GSD) and object pixel coverage at any range — determine the maximum detection range for pedestrians, cyclists, and vehicles with your camera configuration.

GSD · Detection Range · Vision →

🗺️ Localisation & SLAM

3 tools

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Inertial Navigation

IMU Dead-Reckoning Drift Calculator

Quantify position and heading error accumulation from IMU-only dead-reckoning — and determine the maximum correction interval needed to maintain your localisation accuracy requirement.

IMU · Dead-Reckoning · Drift →

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SLAM · Loop Closure

SLAM Accuracy & Loop Closure Estimator

Estimate cumulative SLAM localisation drift over any trajectory length with and without loop closure correction — compare LiDAR vs visual SLAM and verify your accuracy requirement is met.

SLAM · Loop Closure · LiDAR →

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Odometry · ROS 2

Wheel Odometry Calculator

Convert wheel encoder tick counts into position, heading change, linear velocity, and turning radius — the foundational calculation in every differential-drive robot base controller and ROS 2 odometry node.

Odometry · ROS 2 · Kinematics →

🔀 Fusion & State Estimation

2 tools

🔀

Sensor Fusion · Weighted Least Squares

Sensor Fusion Uncertainty Calculator

Calculate the fused position uncertainty when combining two sensor modalities — GPS, LiDAR, radar, or camera — and see quantitatively why multi-sensor fusion always outperforms any single sensor alone.

Sensor Fusion · GPS · LiDAR →

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State Estimation · Kalman Filter

Extended Kalman Filter (EKF) Step Calculator

Simulate one complete EKF predict-update cycle — see Kalman gain, innovation, updated state estimate, and updated covariance for any combination of process noise and measurement noise.

EKF · Kalman · State Estimation →

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Why These Calculators Are Different

🏗️

Built from production, not papers

Every formula was validated against real deployment data from Moovita’s Singapore AV fleet — not derived from textbooks alone.

🎯

Safety-case ready outputs

Results are formatted for direct use in regulatory safety cases — with ISO and SAE references, not just raw numbers.

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Linked to deep-dive content

Every tool links to the corresponding technical post or course module where the full engineering context is explained.

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Free, no signup, no paywall

All 13 tools are completely free — no registration, no email capture, no premium tier. Free while UDHY.com is in its open phase.

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Works on any device

Each tool is fully responsive — runs in your browser on desktop, tablet, or mobile, with no app install required.

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Smart result interpretation

Every calculator includes a colour-coded verdict with specific, actionable guidance — not just a raw number to interpret yourself.

Learn the Engineering Behind These Tools

Every calculator on this page is grounded in the technical content taught across UDHY’s free AI and robotics courses — from beginner foundations to expert-level AV system design.

🗺️ SLAM & Navigation Course 🔐 AV Safety Course 🤖 Expert Robotics Course

Built by Dr. Dilip Kumar Limbu · Co-Founder, MooVita · Former Principal Research Scientist, A*STAR · UDHY.com — Free AI & Robotics Education

FAQs on AV & Robotics Engineering Calculators

1. Are all 13 calculators completely free to use?

Yes — all 13 tools are completely free with no registration, no email capture, and no paywall. UDHY.com is in its open-access phase, during which all courses, tools, and guides are free. This includes the 3 original UDHY tools (LiDAR Point Cloud Density, GPS-Denied Drift Estimator, Perception-to-Control Latency Budget) and the 10 new calculators covering safety distance, camera optics, SLAM, EKF, sensor fusion, and more.

2. What engineering level are these tools designed for?

These tools are designed for practising engineers, graduate students, and advanced robotics/AV developers. They assume basic familiarity with engineering concepts (sensor noise, control systems, kinematics) but explain their formulas and results in plain language. Each tool includes a “when to use it” guide, making them accessible to intermediate learners while remaining rigorous enough for professional safety case documentation.

3. Can I use these results in a regulatory safety case or academic paper?

Yes, with appropriate caveats. The formulas used in each calculator are based on established engineering principles and documented standards (SAE J3016, ISO 22737, NHTSA reference values). For regulatory submissions, always verify calculated values against your vehicle’s measured physical test data — this tool provides the analytical baseline, not a substitute for empirical testing. For academic use, cite the underlying standards and formulas rather than the calculator itself.

4. Which tool should I use first if I’m designing an AV perception stack?

Start with the AV Stopping Distance Calculator — it establishes your minimum required sensor detection range, which is the fundamental constraint all other perception decisions must satisfy. Then use the LiDAR Point Cloud Density Calculator and Camera Resolution vs Distance Calculator to verify your sensors meet that range requirement. Finally, use the Perception-to-Control Latency Budget Calculator to confirm your pipeline fits within the required reaction time window that the stopping distance calculation depends on.

5. How do I use these tools with ROS 2?

The Wheel Odometry Calculator outputs values that map directly to ROS 2’s nav_msgs/Odometry message fields (twist.linear.x = v, twist.angular.z = ω). The EKF Calculator demonstrates the predict-update cycle used in the robot_localization package. The SLAM Accuracy Estimator helps you configure loop closure frequency for Cartographer, LOAM, or LeGO-LOAM. See the ROS 2 Jazzy Tutorial for complete Python implementations connecting these calculations to real ROS 2 nodes.

6. Will more tools be added?

Yes — the UDHY tools section is an ongoing project that expands as new topics come up in the course content and community questions. Planned additions include a V2X Communication Range Calculator, Robot Battery Runtime Calculator, Motor Torque Calculator, and Kalman Filter Optimal Gain Calculator. The tools page is updated regularly — bookmark it or subscribe to UDHY updates to be notified when new tools are added.

Free AV & Robotics Engineering Calculators

⭐ Core Perception & Localisation Tools

LiDAR Point Cloud Density Calculator

GPS-Denied Dead-Reckoning Drift Estimator

Perception-to-Control Latency Budget Calculator

🚗 Safety & Vehicle Dynamics

AV Safety Distance Calculator

AV Stopping Distance Calculator

AV Reaction Time Calculator

📷 Perception & Sensing

Camera Field of View (FOV) Calculator

Camera Resolution vs Distance Calculator

🗺️ Localisation & SLAM

IMU Dead-Reckoning Drift Calculator

SLAM Accuracy & Loop Closure Estimator

Wheel Odometry Calculator

🔀 Fusion & State Estimation

Sensor Fusion Uncertainty Calculator

Extended Kalman Filter (EKF) Step Calculator

Why These Calculators Are Different

Built from production, not papers

Safety-case ready outputs

Linked to deep-dive content

Free, no signup, no paywall

Works on any device

Smart result interpretation

Related Technical Guides & Courses

Learn the Engineering Behind These Tools

FAQs on AV & Robotics Engineering Calculators