3D Archline Optimization Using a Patient-Specific Spee Curve

The patent applies parameter changes by allowing dynamic adjustment of the Spee curve parameters (radius of curvature and center position) based on individual patient data. The system generates initial default values but enables modification of these parameters to match the patient's specific oral cavity geometry, thereby achieving both ease of operation through automated generation and precision through customizable parameters.

The patent implements dynamics by creating a flexible system where the Spee curve can be dynamically adjusted during the treatment planning process. The archline optimization module allows real-time modification of the Spee curve based on user input and patient-specific requirements, transforming a static default curve into a dynamic, adaptable structure that balances simplicity with accuracy.

The patent applies self-service by implementing an automated Spee curve generation system that creates optimized curves without requiring extensive manual intervention. The system automatically calculates initial Spee curve parameters based on patient data, reducing the burden on users while still allowing targeted adjustments when needed, thus achieving high accuracy without proportional increase in complexity.

The patent implements preliminary action by pre-generating optimized Spee curve values based on automated analysis of patient oral cavity data. This preliminary optimization reduces the number of manual adjustments needed, as the system starts with already-optimized parameters rather than requiring users to build the optimization from scratch, thereby maintaining high accuracy while reducing perceived complexity.

The patent applies segmentation by dividing the complex three-dimensional Spee curve optimization into manageable components. The system separates the optimization process into distinct modules: initial curve generation, parameter adjustment, and final optimization. This segmentation allows the complex computational task to be handled through simpler, sequential operations, reducing overall computational burden while maintaining three-dimensional precision.

The patent implements dimensionality change by transforming the complex three-dimensional optimization problem into a more manageable form through coordinate transformations and projections. The system uses mathematical operations that map three-dimensional Spee curve adjustments to simpler parameter spaces, reducing computational complexity while preserving the essential three-dimensional geometric accuracy of the archline.