Tooth Shape Encoding via Characteristic Curves for Dental CAD
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Solution Overview
Problem
Current dental CAD systems rely on a single generic template, resulting in significant deformation to produce tooth shapes, leading to proposals that are far from the final shape due to high anatomic variability.
Innovation Solution
A method that captures tooth shape using a network of characteristic curves (margin lines), compactly encodes these curves as strings for efficient indexing and searching by similarity, and retrieves high-quality crown design proposals from a case repository based on margin line similarity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If a single generic template is used for tooth shape generation, then the system complexity is reduced, but the accuracy of the generated proposals deteriorates due to high anatomic variability requiring large deformations
Solution Approach 1:
The tooth shape is segmented into a network of characteristic curves (margin lines) that divide the complex 3D form into manageable 2D cross-sectional profiles. This segmentation allows each curve to be independently captured and encoded, enabling precise representation of anatomical variations without requiring a completely new template for each case.
Solution Approach 2:
The patent transforms the geometric representation from a single complex template into multiple parameterized curves that can be independently modified. By encoding curves as strings and storing them in a database, the system enables flexible parameter adjustment to match specific patient anatomy, improving proposal accuracy while maintaining system manageability.
2Manufacturing precision
If characteristic curves are captured and stored in a database for similarity searching, then the accuracy of design proposals is improved, but the data processing complexity and storage requirements increase
Solution Approach 1:
The patent creates simplified string representations (copies) of the complex characteristic curves. Instead of storing and processing full 3D geometric data, the system encodes curves as compact strings that capture essential shape information, enabling efficient database storage and similarity searching while maintaining design accuracy.
Solution Approach 2:
The patent replaces complex geometric processing mechanisms with string-based similarity search algorithms. By transforming curve comparison from a computationally intensive geometric operation into a simpler string matching problem, the system reduces data processing complexity while preserving the ability to find accurate design proposals.
3Measurement precision
If a network of characteristic curves is used to capture tooth shape, then the representation accuracy is improved, but the complexity of encoding and processing these curves increases
Solution Approach 1:
The patent creates simplified string representations (copies) of the complex characteristic curves. Instead of storing and processing full 3D geometric data, the system encodes curves as compact strings that capture essential shape information, enabling efficient database storage and similarity searching while maintaining design accuracy.
Data Source
AI summary
A method for compact and descriptive representation of teeth shape (or other anatomic shapes) in terms of characteristic curves and its application to generation of automatic designs within dental CAD software or other software is provided. In an embodiment, a method includes capturing tooth shape by a network of characteristic curves (i.e. margin lines). In an embodiment, a method includes compactly encoding curves as strings, which then can be indexed and searched efficiently by similarity. In an embodiment, a method includes retrieving high quality crown design proposals from a case repository based on similarity of margin lines.