改进鲸群优化子空间匹配追踪的稀疏解混算法

Sparse unmixing using the improved whale optimized subspace matching pursuit algorithm

为了提升高光谱图像的稀疏解混精度,提出一种基于改进鲸群优化算法的子空间匹配追踪(improved whale optimized subspace matching pursuit,IWOSMP)的稀疏解混算法.对鲸群优化算法进行改进,通过引入非线性种群控制参数和进化策略,提高鲸群优化算法的收敛速度和收敛精度,基于子空间匹配追踪算法,以约束稀疏回归为目标函数,利用改进的鲸群优化算法对已知端元集求解丰度系数.以重构误差最小为标准,通过最大程度地去除系数较小的冗余端元,提高子空间匹配追踪算法的端元提取的精确度,进一步提高了高光谱图像的解混精度.合成图像实验和真实遥感图像实验表明,IWOSMP能有效去除大量的冗余端元,且解混精度更高.

This paper proposes a whale optimized subspace matching pursuit algorithm to improve the precision of sparse unmixing of hyperspectral data.The proposed algorithm modifies the traditional whale group optimization algorithm by introducing the nonlinear population control parameters and evolution strategy and thus improves the convergence speed and convergence precision of the whale cluster optimization algorithm.Based on the improved subspace matching pursuit algorithm,the new algorithm uses the whale optimization algorithm to solve the abundance coefficients of the known end members,where the objective function is modeled as a constrained sparse regression.In order to improve the precision of the subspace matching pursuit algorithm,the minimum reconstruction error is taken as the criterion and the redundant end members with smaller coefficients are removed to the greatest extent.The simulation and real data experiments show that the proposed algorithm can effectively remove the redundant endmembers and has a higher precision of unmixing.