Non-rigid Mapping for Geometric Deviation Correction
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Solution Overview
Problem
Current methods for minimizing geometric deviations in manufacturing, such as casting or additive manufacturing, require significant effort and are costly, especially when dealing with major deformations, as they lack effective means for producing accurate corrections between target and actual geometries.
Innovation Solution
A computer-implemented method using non-rigid mappings that associate and correct geometries by incorporating both local and global information, allowing for accurate transformation and correction of entire surfaces, even in cases of major deviations, through parameter sets that adjust deviations between target and actual geometries.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If conventional methods are used to minimize geometric deviations through multiple prototypes and measurements, then manufacturing precision can be improved, but the manufacturing effort and cost increase significantly
Solution Approach 1:
The patent applies preliminary action by computing a non-rigid mapping between target and actual geometries before manufacturing corrections. The deviation analysis and correction vector calculation are performed in advance on digital models, allowing corrections to be applied to the mold geometry before production begins, thereby reducing the need for iterative physical prototypes and measurements
Solution Approach 2:
The patent replaces the mechanical system of physical prototyping, measurement, and manual correction with a computational system. Non-rigid mapping algorithms and automated deviation analysis substitute for physical measurement tools and manual geometric adjustments, enabling virtual correction of geometric deviations through computer-implemented methods
2Manufacturing precision
If local information only is used for correction as in conventional methods, then the correction process is simpler, but accuracy deteriorates in cases of major deviations or deformations
Solution Approach 1:
The patent merges local and global information by computing a non-rigid mapping that considers both local surface deviations and global geometric relationships. The mapping process integrates information from the entire target geometry and actual geometry to establish corresponding point relationships, ensuring accurate correction even for major deformations while maintaining manageable computational complexity through parameterized representations
Data Source
AI summary
The invention relates to changing a model geometry of an object by providing a target geometry and a model geometry for the object; using the model geometry to provide an actual geometry of the object; determining whether there is a deviation between the target geometry and the actual geometry; and changing the model geometry into a modified model geometry on the basis of the determined deviation; wherein determining results in a first non-rigid mapping, if there is a deviation, that associates two geometries with each other by using a parameter set and describing the determined at deviation, or at least the changing is carried out by a second non-rigid mapping that associates two geometries with each other by using a parameter set. Thus, correct values are provided in the event of deviations and deformation, and the corrected values reduce the effort in finding a model geometry for producing an object.