Occlusion Pressure Analysis Device Using 3D Transformation Matrices
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Solution Overview
Problem
Existing methods for analyzing occlusion pressure, such as those using pressure sensitive papers and sensors, face challenges in accurately determining the positional correspondence of occlusal contact points due to the complex three-dimensional nature of teeth surfaces and reliance on practitioner-dependent techniques, leading to inconsistencies in measurement accuracy.
Innovation Solution
A device and method that calculate formulas for dental arches based on occlusion pressure and positional data, using transformation matrices to correct and align positional information, enabling precise measurement of occlusion pressure distribution regardless of data acquisition methods.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If pressure sensitive paper is used to measure occlusion pressure, then occlusion pressure can be visualized, but the paper changes shape three-dimensionally along tooth concavity and convexity, causing positional inaccuracy when smoothed to two-dimensional shape for analysis
Solution Approach 1:
The patent introduces a three-dimensional coordinate system to represent both the pressure sensitive paper surface and the tooth surface. By mapping positions from the two-dimensional paper coordinate system to the three-dimensional tooth surface coordinate system using transformation matrices, the patent resolves the dimensional mismatch caused by paper deformation while maintaining measurement accuracy.
Solution Approach 2:
The patent uses transformation matrices as an intermediary mathematical tool to bridge the coordinate systems of the pressure sensitive paper and the actual tooth surface. This intermediary transformation process enables accurate position correspondence without requiring direct physical alignment, thus resolving the positional inaccuracy problem.
2Reliability
If conventional methods are used to analyze occlusion pressure, then analysis can be performed, but there are inconsistencies due to practitioner-dependent techniques and lack of standardized procedures
Solution Approach 1:
The patent transforms the analysis from subjective practitioner-dependent methods to objective mathematical transformations. By changing the parameters from manual interpretation to standardized coordinate transformations using transformation matrices, the patent ensures consistent and reliable results across different practitioners while maintaining systematic data processing.
3Ease of operation
If pressure sensitive paper is smoothed to planar shape for analysis, then two-dimensional analysis becomes possible, but the actual position of teeth and biting points no longer correspond to paper positions
Solution Approach 1:
The patent maintains two-dimensional ease of analysis by working with the flattened paper in its 2D state, but introduces a 3D coordinate transformation to map these 2D positions back to their corresponding 3D positions on the tooth surface. This allows simple 2D analysis operations while achieving accurate 3D positional correspondence through mathematical transformation.
Data Source
AI summary
An object is to provide a device for analyzing occlusion pressure with which it is possible to measure occlusion pressure with a high positional accuracy by using data obtained by versatile methods, including an operation device, wherein the operation device calculates a formula of a first dental arch based on an occlusion pressure data, calculates a formula of a second dental arch based on an occlusal contact positional data, calculates a transformation matrix that approximates the formula of the first dental arch to the formula of the second dental arch, carries out an operation to transform positional information included in the occlusion pressure data to a new positional information with the transformation matrix, and outputs an occlusion pressure data including the new positional information.