Automatic Tooth-Gum Separation in Dental CAD Using Laplace Equation
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Solution Overview
Problem
Conventional dental CAD/CAM systems struggle to accurately separate teeth from gums in intraoral scan data, requiring manual user intervention which is inconvenient and prone to errors due to varying tooth shapes and sizes.
Innovation Solution
A tooth separation system comprising a loading unit, display unit, input unit for creating a tooth border mark, and a calculation unit that uses Laplace's equation to automatically distinguish teeth from gums based on user-defined circular marks, generating precise tooth model data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional algorithms are used to separate teeth from gums, then the system can process intraoral scan data, but the separation accuracy is poor and requires multiple user interventions
Solution Approach 1:
The system performs automatic tooth-gum separation using algorithms that autonomously process intraoral scan data without requiring user intervention. The calculation unit automatically identifies tooth boundaries and separates teeth from gums based on geometric and topological analysis of the scan data, enabling the system to serve itself rather than relying on manual user input.
Solution Approach 2:
The patent replaces manual mechanical interaction (user clicking points on the display) with automated computational algorithms. The calculation unit uses image processing and geometric algorithms to automatically distinguish teeth from gums, substituting the mechanical user interaction system with an automated digital processing system that achieves higher accuracy and convenience.
2Adaptability or versatility
If manual point selection is required for tooth separation, then the system can handle varying tooth shapes, but the operation becomes complex and time-consuming
Solution Approach 1:
The system automatically adapts to varying tooth shapes through algorithms that analyze the geometric characteristics of each tooth in the scan data. The calculation unit independently identifies tooth boundaries, crowns, and roots by processing the three-dimensional scan data, eliminating the need for users to manually select points for each varying tooth configuration.
Solution Approach 2:
The patent employs algorithms that dynamically adjust separation parameters based on the specific geometric parameters of each tooth. The calculation unit analyzes local curvature, surface normals, and topological features to automatically adapt the separation process to different tooth shapes, sizes, and orientations, achieving versatility without manual intervention.
3Measurement precision
If multiple user inputs are required for accurate tooth separation, then the separation precision can be improved, but the device complexity increases
Solution Approach 1:
The calculation unit performs automated tooth model generation by independently processing intraoral scan data through geometric and topological algorithms. The system self-determines tooth boundaries, crowns, and roots without requiring multiple user inputs, thereby maintaining high precision while reducing operational complexity to a single user action.
Solution Approach 2:
The patent implements preliminary processing steps that prepare the intraoral scan data for automatic separation before user input is required. The system pre-processes the scan data to identify potential tooth regions, calculate surface normals, and establish initial boundaries, so that when the user provides a single input point, the algorithm can rapidly and accurately complete the separation without requiring multiple iterative user inputs.
Data Source
AI summary
A tooth separation system comprising: a loading unit for loading an intraoral scan data; a display unit for displaying the intraoral scan data loaded by the loading unit, in which the intraoral scan data includes a tooth as well as gums; an input unit for making a tooth border mark onto the tooth shown on the display unit; and a calculation unit for performing necessary calculations to separate the tooth from the gums based on the tooth border mark and the method using the same.


