DQ Robotics: A Library for Robot Modeling and Control
Abstract
Domain fit: AI-adjacent · Paper appears method- or tooling-adjacent to AI workflows with partial ecosystem coverage.
Dual quaternion algebra and its application to robotics have attracted considerable interest in the last two decades. Dual quaternions have great geometric appeal and easily capture physical phenomena inside an algebraic framework, which is useful for both robot modeling and control. Mathematical objects, such as points, lines, planes, infinite cylinders, spheres, coordinate systems, twists, and wrenches, are all well defined as dual quaternions. Therefore, simple operators are used to represent those objects in different frames, and operations, such as inner products and cross products, are used to extract useful geometric relationships among them.
Results and benchmarks
Dual quaternion algebra and its application to robotics have attracted considerable interest in the last two decades.
Benchmark evidence is limited
Evidence graph: 3 refs, 3 links.
Utility signals: depth 65/100, grounding 75/100, status medium.
Implementation
No direct implementation yet
Maintained implementation evidence is not confirmed for this paper yet.
Use the implementation status and reproduction sections for the current action plan.
No verified maintained repo yet
There is no verified maintained implementation yet. Use this baseline plan to decide whether to prototype now or defer.
- No maintained paper-verified implementation was found; start with the closest related repositories below.
- Compare repo methods against the paper equations/algorithm before trusting metrics.
- Create a minimal baseline implementation from the paper and use adjacent repos as references.
Time to first repro: a few days
borglab/gtsam is the closest maintained adjacent implementation (Matches contextual method/domain keyword: robot). It is not paper-verified; validate algorithm and evaluation setup against the paper before trusting reported metrics. Community adoption signal: 3652 GitHub stars.
- Adjacent implementations are not paper-verified
- Recommended repository is adjacent and not paper-verified.
- Adjacent implementation match confidence is low.
Reproduction readiness
No repo
No verified implementation available
- No maintained repository has been identified for this paper. Check adjacent implementations or HF artifacts below.
Hardware requirements
- Expect multi-day setup/compute for meaningful reproduction based on current guidance.
Validation caveat
Repositories and ecosystem
Closest related implementations
These are not paper-verified. Use them as reference points when no direct implementation is available.
- borglab/gtsam Adjacent · Confidence: Low · 3,652 stars
Matches contextual method/domain keyword: robot
- ANYbotics/grid_map Adjacent · Confidence: Low · 3,225 stars
Matches contextual method/domain keyword: robot
- jslee02/awesome-robotics-libraries Adjacent · Confidence: Low · 3,027 stars
Matches contextual method/domain keyword: robot
- NxRLab/ModernRobotics Adjacent · Confidence: Low · 2,925 stars
Matches contextual method/domain keyword: robot
No additional verified repositories beyond the primary recommendation.
Hugging Face artifacts
No trustworthy direct or curated related Hugging Face artifacts were found yet. Use targeted searches to quickly locate candidate models, datasets, and demos.
Tip: start with models, then check datasets and spaces if you need evaluation data or demos.
Research context
46
Citations
9
References
Tasks
Quaternion, Dual quaternion, Robot, Dual (grammatical number), Computer science, Simple (philosophy), Algebraic number, Algebra over a field
Methods
Geometric modeling, Solid modeling
Domains
Robotics, Artificial intelligence, Computer vision, Mathematics, Applied Mathematics
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