不等式约束秩亏网平差的算法研究

摘要

An inequality constrained rank deficient adjustment model is proposed and on its basis the algorithm which is simple and easy to implement is designed. In the algorithm the reference condition is treated as a virtual observation and by using iterative Gaussian elimination to distinguish active or inactive constraints based on Kuhn-Tucker condition, and then the inequality constrained model is transformed into equality constrained rank deficient adjustment model. In addition,an example of level network is given to prove the feasibility and correctness of this algorithm.%提出具有不等式约束的秩亏网平差模型,并设计了一种简单易行的算法.该算法将基准条件当作虚拟观测,基于库恩塔克条件,运用迭代的高斯消去法区分有效约束和无效约束,将不等式约束转化为等式约束的秩亏网平差问题求解.并以一个水准网的实例验证了算法的可行性与正确性.