3D Model Generation Using Symmetry-Based Coordinate Correction
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Solution Overview
Problem
Existing methods for generating three-dimensional models struggle to automatically set a coordinate axis, particularly for objects with rotational or plane symmetry, leading to inefficiencies in creating three-dimensional models.
Innovation Solution
A method that derives an initial reference coordinate system based on measurement data, selects an axis, determines rotational and plane symmetry, and corrects the coordinate system accordingly to efficiently generate three-dimensional models.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If rotational symmetry about a first axis and inversion symmetry about a second axis are determined, then three-dimensional models can be created in a reference coordinate system considering object symmetry, but it becomes difficult to set a coordinate axis automatically and human intervention is required
Solution Approach 1:
The system automatically determines the coordinate axis by analyzing the three-dimensional shape data itself. The processor identifies the axis with the largest cross-sectional area and sets it as the reference axis without requiring human input, making the system self-configuring based on the object's geometric properties
Solution Approach 2:
The system changes the parameter being optimized from considering multiple symmetry types to specifically maximizing the cross-sectional area. By focusing on this single geometric parameter, the system achieves both automation and reliability in coordinate axis determination
2Manufacturing precision
If manual coordinate axis setting is used to consider object symmetry, then appropriate three-dimensional models can be generated, but the process becomes time-consuming and inefficient
Solution Approach 1:
The system automatically performs the coordinate axis determination and three-dimensional model generation without human intervention. The processor independently analyzes the input data, determines the optimal axis, and generates the model, eliminating manual work while maintaining quality
Solution Approach 2:
The system performs preliminary analysis of the three-dimensional shape data to identify the optimal coordinate axis before model generation. By pre-determining the axis with the largest cross-sectional area, the system streamlines the overall process and improves efficiency
Data Source
AI summary
A method, a system, and a program for generating a three-dimensional model are provided. A method according to an embodiment for generating a three-dimensional model includes (1) deriving an initial reference coordinate system based on measurement data indicating a three-dimensional shape of an object (2) selecting an axis of the initial reference coordinate system (3) determining whether or not there is rotational symmetry about the axis (4) determining whether or not there is rotational symmetry with an angular period about the axis (5) when there is the rotational symmetry with the angular period, correcting a reference coordinate system (6) when there is no rotational symmetry, determining plane symmetry about the axis (7) when there is the plane symmetry, correcting the reference coordinate system and (8) performing processing of (3)-(7) for each of three axes of the initial reference coordinate system.