中文摘要：

1引言 第一类Fredholm型积分方程的求解有广泛的应用背景．如图象处理、信号处理、地球物理、遥感技术、模式识别等众多科学技术领域中均会遇到第一类Fredholm型积分方程的求解问题．但是第一类Fredholm积分方程的求解是一个典型的病态问题．

英文摘要：

In this paper we develop a fast multiscale truncation method for solv- ing the Fredholm integral equation of the first kind with nonexactly given input data. The convergence rates for the approximation solutions are achieved by using the modified discrepancy principle as a posteriori parameters selection strategy. Numerical experiments are given to illustrate the efficiency of the method.