针对黑体辐射反问题,提出将其离散为线性不适定问题,利用小波变换方法进行数值求解.将小波变换和正则化方法相结合,利用小波函数的紧支撑性,将原不适定问题转化为粗子空间上的适定问题.数值模拟结果表明方法可行,重构区域温度分布有效.
An inverse blackbody radiation problem is discreted to a linear ill-posed system.A wavelet transform method is proposed for solution of the problem.With a combination of wavelet transformation and regularization method we convert the ill-posed problem into a posed problem in coarse space,which takes full advantage of compact support of wavelet.Numerical results show feasibility and robust reconstruction of the method.