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A Constraint-Driven Automated Framework for Optimizing Multi-Tool Fiducial Configurations in Surgical Navigation
Yuhui Wang1,2, Chuanba Liu1,2, Yifei Wang1
1Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300350, China.
Bioengineering (Basel, Switzerland)
|July 28, 2026
Summary
This study presents an open framework for designing accurate optical tracking tools for surgical navigation. Optimized tools achieve accuracy comparable to commercial options, enhancing accessibility for research and clinical use.
Area of Science:
- Biomedical Engineering
- Surgical Technology
- Computer-Aided Surgery
Background:
- Accurate optical tracking is essential for surgical navigation systems.
- Commercial tracking tools are reliable but lack accessibility and adaptability due to proprietary designs.
- Need for open, reproducible methods to design custom surgical navigation tools.
Purpose of the Study:
- To develop an open, reproducible optimization framework for designing high-accuracy optical tracking tools.
- To formalize knowledge for creating custom surgical navigation tools for specialized applications.
- To enable researchers and engineers to generate precise custom tracking tools.
Main Methods:
- Utilized point-based rigid registration theory to create a unified pose estimation deviation metric.
- Derived analytical expressions for the expectation and variance of the deviation metric.
- Incorporated constraints for intra-group uniqueness and inter-group compatibility.
- Employed exhaustive configuration generation and geometric evaluation to rank designs by predicted accuracy.
- Validated the derived formula using numerical simulations and compared optimized tools to commercial references.
Main Results:
- Numerical simulations showed under 5% average prediction error for the expectation and strong agreement for the variance.
- Optimized four-fiducial tools demonstrated accuracy comparable to or better than commercial tools in tip calibration, distance measurement, and registration tests.
- 75% of optimized tools achieved accuracy on par with or exceeding commercial benchmarks.
- Strong positive correlation (Pearson's r > 0.98) observed between the theoretical metric and measured error across all experiments.
Conclusions:
- The developed open design methodology enables the creation of high-precision custom optical tracking tools.
- This framework democratizes the design of surgical navigation tools, moving beyond proprietary limitations.
- Facilitates the development of tailored solutions for diverse and specialized surgical navigation scenarios.

