Restorative Tooth Width and Position Optimization in 3D Dental Models
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Solution Overview
Problem
Existing dental treatment planning systems struggle to accurately determine the position and width of teeth undergoing restorative treatment, which can affect tooth spacing and position, complicating the planning process.
Innovation Solution
A system and method that utilizes an optimization problem to determine restorative tooth centers and widths, considering factors such as restorative overlap, contact, and symmetry, using a dental arch optimization engine to generate optimized 3D digital dental models.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional dental treatment planning methods are used to determine tooth positions and widths, then the planning process is simpler, but the accuracy of restorative tooth parameters is insufficient
Solution Approach 1:
The system performs preliminary determination of restorative tooth centers and widths by solving an optimization problem before final treatment planning. This preliminary action establishes accurate baseline parameters that guide subsequent treatment decisions, resolving the contradiction by achieving high measurement precision through pre-computed optimal values.
Solution Approach 2:
The patent introduces an optimization problem as an intermediary computational layer between raw dental scan data and final treatment planning. This intermediary process systematically determines restorative tooth parameters by optimizing multiple competing objectives, thereby achieving accurate measurements without requiring complex manual adjustments.
2Reliability
If restorative treatment parameters are not accurately determined, then the planning process is faster, but tooth spacing and position become affected
Solution Approach 1:
The optimization problem incorporates feedback loops that evaluate multiple candidate solutions for restorative tooth parameters. By iteratively assessing how different parameter choices affect tooth spacing and position, the system reliably determines optimal values while automating the process to minimize time loss.
Solution Approach 2:
The system systematically varies restorative tooth center and width parameters within the optimization framework to find values that maintain reliable tooth spacing and position. This parameter exploration is automated and efficient, achieving reliability without proportionally increasing determination time.
3Productivity
If multiple factors (overlap, contact, symmetry) are optimized simultaneously, then treatment outcomes are enhanced, but computational complexity increases
Solution Approach 1:
The optimization problem is segmented into distinct objective functions, each addressing a specific quality factor (restorative overlap, restorative contact, restorative symmetry). By dividing the complex optimization task into manageable components, the system achieves high treatment outcome quality while keeping computational complexity tractable through modular design.
Solution Approach 2:
The optimization framework serves multiple functions simultaneously: it determines restorative tooth centers, optimizes widths, ensures proper spacing, and maintains symmetry. This multi-functional approach enhances treatment outcomes without requiring separate systems for each function, thereby managing complexity through integration.
Data Source
AI summary
System, methods, and apparatus for determining a width and position of a patient's restored teeth are disclosed. Teeth that undergo a restorative process may change in size (compared to original tooth dimensions). Dental data is extracted from a three-dimensional (3D) digital model that is generated based on a dental treatment plan. The width and/or position of the patient's restored teeth are determined with a solution to an optimization problem using the extracted dental data.