西南交通大学学报2025，Vol.60Issue(3)：688-697,10.DOI:10.3969/j.issn.0258-2724.20230148
基于弦角描述符的平面开环轨迹尺寸综合方法
Dimensional Synthesis Approach for Planar Open Path Based on Chord Angle Descriptor
摘要
Abstract
To deal with huge computation and low retrieval efficiency in extracting planar open path features by a numerical atlas method,a dimensional synthesis approach was proposed for planar open paths based on chord angle descriptors.Firstly,by using the invariance of translation,rotation,and scaling of chord angle descriptors,the open path shape features independent of the frame position,orientation,and overall scaling of linkages were obtained.Secondly,based on the self-contained properties of chord angle descriptors,a partial matching algorithm not affected by the sampling resolution was proposed for open paths.Furthermore,the chord angle descriptors were compressed into two-dimensional features by multi-dimensional scaling.The numerical atlases of 16 000 groups of planar four-bar linkages were established by combining the hierarchical clustering algorithm.On this basis,the linkage dimension type suitable for design requirements was retrieved according to the similarity between the chord angle descriptors and those in the atlases.Finally,this method was validated by two-dimensional synthesis examples of planar open paths.The research findings show that overall dimensional results of planar open paths satisfying the design requirements can be achieved through the dimensional synthesis approach,and normalization is not required for paths.Compared with that of the curve descriptor,the curvature descriptor,and the Fourier descriptor of the B sample,the total open path matching time of the chord angle descriptors decreases by 43%,35%,and 38%,respectively.关键词
开环轨迹/尺寸综合/弦角描述符/多维尺度缩放/层次聚类Key words
open path/dimensional synthesis/chord angle descriptor/multi-dimensional scaling/hierarchical clustering分类
信息技术与安全科学引用本文复制引用
朱留宪,魏巍,李立..基于弦角描述符的平面开环轨迹尺寸综合方法[J].西南交通大学学报,2025,60(3):688-697,10.基金项目
国家自然科学基金项目(51805449) （51805449）
