Quantifying Anisotropic Layered Patterns via 2D Transect Analysis
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Solution Overview
Problem
Current methods for analyzing incremental patterns with structural anisotropy are limited by instability due to directional sensitivity, reduction of 2-D patterns to 1-D, lack of detailed methodologies, and inability to handle noise and anisotropic structures effectively.
Innovation Solution
A computer-based technique for converting incremental patterns into 2-D models with reduced noise, involving filtering, segmentation, and labeling to create an n-partite graph, calculating widths and areas, and constructing a 2-D model that accounts for structural anisotropy and noise reduction.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If current methods are used to analyze incremental patterns with structural anisotropy, then analysis can be performed, but the results are unstable due to directional sensitivity
Solution Approach 1:
The patent transitions from 1-D transect analysis to 2-D pattern analysis by introducing a second dimension of measurement. Multiple transects are plotted at different angles across the incremental pattern, and their results are integrated to create a comprehensive 2-D model that captures structural anisotropy while providing stable, direction-independent quantification of growth rates.
2Device complexity
If incremental patterns are reduced to 1-D for analysis, then processing is simplified, but detailed 2-D structural information is lost
Solution Approach 1:
The patent segments the 2-D incremental pattern into multiple 1-D transects at different orientations. Each transect provides a simplified 1-D growth rate profile, but the collection of these segmented profiles across multiple directions reconstructs the complete 2-D structural information, including anisotropic features.
Solution Approach 2:
The patent merges the results from multiple 1-D transect analyses into a unified 2-D model. By combining data from transects at different angles and integrating them through mathematical operations, the method recovers the full 2-D structural information while maintaining the simplicity of 1-D processing along each transect.
3Adaptability or versatility
If noise is present in incremental patterns, then real data can be analyzed, but measurement precision is reduced
Solution Approach 1:
The patent employs feedback mechanisms through iterative processing and validation. The 2-D model is constructed from 1-D transect data and then used to generate predictions that can be compared against the original pattern, allowing for refinement and correction of measurements to achieve high precision despite the presence of noise.
Solution Approach 2:
The patent creates multiple copies of the incremental pattern through repeated transect measurements at different orientations. By analyzing multiple independent measurements (copies) of the same structure, the method can distinguish true structural features from random noise, thereby maintaining high measurement precision while adapting to real, noisy data.
4Device complexity
If structural anisotropy is not accounted for, then analysis is simpler, but quantification accuracy is compromised
Solution Approach 1:
The patent introduces dynamic adaptability to the analysis methodology by allowing the transect orientations and weighting factors to be adjusted based on the specific structural anisotropy characteristics of each incremental pattern. This dynamic adjustment enables the method to maintain high quantification accuracy across diverse patterns while keeping the overall framework flexible and manageable.
Data Source
AI summary
Parameterization of incremental patterns of various categories is provided by a computer system. The computer system initially undergoes filtering of the incremental patterns under study. Transects are plotted in a predetermined direction to growth incremental bands, and converted into an anisotropic structure in a 2-D domain. The width of the incremental bands along transects are calculated in combination with the area of incremental bands between neighboring transects. The structure of the incremental bands along with the width and area of the incremental hands across a 2-D plane for different levels of noise are calculated. Noise is reduced by averaging width and area across the 2-D plane. Indices of adequacy of the model and structural anisotropy of the incremental patterns are calculated.