Coordinate System Scaling for Electrical Impedance Navigation
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Solution Overview
Problem
Electrical field-based positioning systems in medical devices often result in non-homogenous, anisotropic, and non-orthonormal coordinate systems, leading to distorted geometries and representations of body regions during navigation and visualization.
Innovation Solution
The implementation of an algorithm using global and local transformation functions, along with interpolation methods, to correct and scale the coordinate system, allowing for accurate positioning of medical devices by relating coordinates between different systems.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If electrical field-based positioning systems are used to determine device position, then positioning capability is achieved, but coordinate system distortions occur leading to inaccurate geometric representations
Solution Approach 1:
The patent transforms the distorted electrical field-based coordinate system into a corrected anatomical coordinate system by applying transformation functions that adjust spatial parameters. This resolves the contradiction by changing the coordinate representation parameters while maintaining the underlying positioning data, thereby improving geometric accuracy without sacrificing positioning capability
Solution Approach 2:
The patent introduces an intermediary coordinate transformation process that acts as a mediator between the electrical field measurement system and the anatomical representation system. This transformation layer corrects distortions while preserving the original positioning information, resolving the conflict between positioning accuracy and geometric fidelity
2Manufacturing precision
If global transformation functions are applied to correct coordinate system distortions, then geometric representation accuracy is improved, but computational complexity increases
Solution Approach 1:
The patent divides the correction process into distinct segments: global transformation functions for overall coordinate system correction and local transformation functions for region-specific refinements. This segmentation manages computational complexity by breaking down the complex correction task into manageable, modular components that can be applied hierarchically
3Manufacturing precision
If local transformation functions are used to correct regional distortions, then local geometric accuracy is improved, but the number of transformation operations and computational load increase
Solution Approach 1:
The patent applies local transformation functions selectively to specific anatomical regions where distortions are most pronounced, rather than uniformly across the entire coordinate system. This local quality approach improves processing efficiency by concentrating computational resources on areas needing correction while maintaining productivity
Data Source
AI summary
An algorithm to correct and/or scale an electrical current-based coordinate system can include the determination of one or more global transformation or interpolation functions and/or one or more local transformation functions. The global and local transformation functions can be determined by calculating a global metric tensor and a number of local metric tensors. The metric tensors can be calculated based on pre-determined and measured distances between closely-spaced sensors on a catheter.