本文研究有限约束条件下的变分曲线模型及其在铁路列控轨道数据库中的应用,提出从GPS轨道数据中自动生成适合列车控制的数字轨道地图的方法、模型和算法。通过大量实测数据对算法和方法进行验证、比较和改进,针对大量轨道数据建立其数据约简的组合数学模型,分析实际列车运行时有限约束条件,研究曲线演化理论,采用基于变分曲线模型曲线形变的思想对数据进行约简和误差剔除,在满足一定的误差前提下快速自动获取少量关键数据来描述铁道轨迹,完善列控轨道数据库的自动生成与优化方法,实现基于GPS的列车运行控制系统的实时、精确定位。
The variational curve model under finite constrained conditions and its application in the railway train control track database were studied.The method,model and algorithm of digital track map auto-generation from GPS track data was raised.The algorithm and method are verified and improved by a large number of measured data.The composite data reduction model was established,on the basis of large quantities of track data.The actual finite constrained conditions in train operation were analyzed.The curve evolution theory was studied.Data reduction and error deletion were accomplised by use of the algorithm based on the variational curve model evolution theory.A small amount of key data were obtained rapidly and automatically to describe track paths under the premise that certain stipulations of errors were satisfied.The automatic generation and optimization method of the train control track database was improved to realize real-time and precise positioning of the train operation control system based on GPS.